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### Chand, Khem

- Forest and Land Use Pattern Trend in Arid Rajasthan

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Indian Forester, Vol 129, No 4 (2003), Pagination: 495-503#### Abstract

This paper intends to assess the forest growth and land utilization pattern in the arid region of Rajasthan over the period 1960-1961 to 1997-1998. Rajasthan has around 7.44 per cent (1997-98) of the total geographical area under forest but in the arid region of the State only 2.0 per cent area (4,174 km^{2}, 1997-1998) comes under forest. Based on the agroclimate the arid region of Rajastban has been classified into four zones viz. Arid Western Plain (Zone-IA), Irrigated North Western Plain (Zone-IB), Transitional Plain of Inland Drainage (Zone-IIA) and Transitional Plain of Luni Basin (Zone-IIB). The data on the land use pattern and forest area indicate that in the past 37 years arid region recorded an increase in area under forest as well as that under non agricultural uses and net area sown, whereas that under barren land, old fallow, and culturable waste declined considerably. The forest area increased from 0.81 % in 1960-1961 to 2.01 % in 1997-1998 recording an ACGR of 3.66 % as compared to the State as a whole (3.04 %). After witnessing an insignificant ACGR of the forest area in the 1960s, the arid region withessed the highest ACGR of 7.47 % in the 1970s. Similar trend was also observed for the different zones and the State. The human as well as livestock population density of the region has increased from 37 (1961) to 84 (1991) and 66 (1961) to 132 (1997), respectively. Considering the increasing biotic pressure on the land in arid Rajasthan and the trend of more intensive land cultivation on larger area there is need to accelerate the growth afforest in this region so that the natural base here could be improved to sustain the vital life support systems and also to help in bringing about favourable changes in the harsh climate of the region.

- Counter-Erosion and Reclamation Scheme in Gujrat District

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Indian Forester, Vol 66, No 1 (1940), Pagination: 30-41#### Abstract

No abstract- Water-Logging in Jaba-Suketar Catchment in Gujrat Soil Conservation Division

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Indian Forester, Vol 73, No 4 (1947), Pagination:#### Abstract

No abstract- Unirrigated Sunken Bed Bela Nurseries in Gujrat Soil Conservation Division

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Indian Forester, Vol 73, No 8 (1947), Pagination: 362-362#### Abstract

No abstract- Combined Effect of Chemical Reaction and Radiation on Heat and Mass Transfer in Oscillatory MHD Flow of Viscoelastic Fluid through Vertical Channel

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1 Department of Mathematics & Statistics, H.P. University, Shimla-171005, IN

2 Department of Mathematics (ICDEOL), H.P. University, Shimla-171005, IN

3 Department of Mathematics & Statistics, H.P. University, Shimla, IN

#### Authors

**Affiliations**

1 Department of Mathematics & Statistics, H.P. University, Shimla-171005, IN

2 Department of Mathematics (ICDEOL), H.P. University, Shimla-171005, IN

3 Department of Mathematics & Statistics, H.P. University, Shimla, IN

#### Source

Research Journal of Science and Technology, Vol 5, No 1 (2013), Pagination: 77-84#### Abstract

The purpose of the paper is to theoretically investigate the combined effect of chemical reaction and radiation on heat and mass transfer of a general unsteady hydromagnetic, free convective flow of viscoelastic fluid (Walter’s B-model) through a vertical channel. The temperature and the concentration at one plate of the channel is assumed to be oscillating with time. The uniform magnetic field is applied perpendicular to the planes of the plates. The solution of the governing equation for the velocity, the temperature and the concentration fields are obtained in close form. The significant effects of various parameters entering into the problem, on the velocity, the temperature, the concentration, the skin friction, the rate of heat and mass transfer have been evaluated numerically and expressed graphically. The phase angles of the skin friction; the heat transfer and the mass transfer have been tabulated and discussed.#### Keywords

Viscoelastic fluid, Oscillatory, MHD, Chemical Reaction and Radiation.#### References

- Attia, H.A., (2004). Unsteady Hartmann flow with heat transfer of a viscoelastic fluid considering the Hall effect, Canadian Journal of Physics, 82(2), pp.127-139.
- Beard, D. W., Walters K., and Oldroyd, J. G., (1964). Elasticoviscous boundary layer flows I. Two dimensional flow near a stagnation point, Proceedings of the Cambridge Philosophical Society, 60(3), pp. 667-74.
- Chand, K and Kumar, R., (2011). Soret and Hall current effects on heat and mass transfer in MHD flow of viscoelastic fluid past a porous plate in a rotating porous medium in slip flow regime, J. Rajasthan Acad. Phy. Sci., 10(4), pp 357-371.
- Cogley, A.C., Vincenti, W.G. and Gilles, S. E.,(1968). Differentional approximation for radiative transfer in a non gray fluid near equilibrium, American institute of Aeronautics and Astronautics, 6, pp. 551-553.
- Das, U.N., Deka, R. K. and Soundalgekar, V.M., (1994). Effects of mass transfer on flow past an impulsively started vertical infinite plate with constant heat flux and chemical reaction, Forschung im Ingenieurwesen, 60 (10), pp. 284-287.
- Deka, R. K. and Neog, B. C., (2009). Unsteady MHD flow past a vertical oscillating plate with thermal Radiation and variable mass diffusion, Chamchuri Journal of Mathematics, 1(2), pp. 79-92.
- Maneschy, C. E., Massoudi, M. and Ghoneimy, A., (1993). Heat transfer analysis of a non- Newtonian fluid past a porous plate, Int. J. Non-linear Mech., 28 (2), pp. 131-143.
- Mishra, S. P. and Panda, T.C., (1979). Effects of injection on the flow of second order fluid in the inlet region of a channel, Acta Mechanica, 32, pp. 11-17.
- Salem, A. M., (2007). Variable viscosity and thermal conductivity effects on MHD flow and heat transfer in viscoelastic fluid over a stretching sheet, Physics Letters A, 369(4), pp. 315-322.
- Sarpakaya, T., (1961). Flow of non-Newtonian fluids in a magnetic field, AIChe Journal, 7(2), pp.324-328.
- Walters, K., (1962). Non-Newtonian Effects in some elasticviscous liquids whose behavior at some rates of shear is characterized by a general linear equation of state, Q. J. Mechanics Appl. Math., 15(1), pp. 63-76.

- Hydromagnetic Periodic Flow in a Circular Pipe Through Porous Medium with Heat Transfer in Slip Flow Regime

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1 Department of Mathematics & Statistics, H.P. University-Shimla-171 005, IN

2 Department of Mathematics (ICDEOL). H. P. University-Shimla-171 005, IN

3 Department of Mathematics and Statistics, H.P. University-Shimla, IN

#### Authors

**Affiliations**

1 Department of Mathematics & Statistics, H.P. University-Shimla-171 005, IN

2 Department of Mathematics (ICDEOL). H. P. University-Shimla-171 005, IN

3 Department of Mathematics and Statistics, H.P. University-Shimla, IN

#### Source

Research Journal of Science and Technology, Vol 5, No 1 (2013), Pagination: 148-152#### Abstract

Heat transfer in hydromagnetic flow of electrically conducting, viscous, incompressible fluid through a circular pipe of uniform width filled with porous material under the influence of periodically varying pressure gradient and wall slip condition is investigated. The governing equation is solved by using the Bessel function. The solution for the velocity and the temperature profiles are obtained and evaluated numerically. The results have been expressed graphically to bring out the effects of various parameters enter in the governing equation.#### Keywords

Hydromagnetic, Periodic, Porous Medium, Slip Flow Condition.#### References

- Agarwal, R. S. and Upmanyu, K.G., (1976). Laminar free convection flow with and without heat source in circular pipes, Bull. Calcutta Math Soc., 68, pp. 285-292.
- Beavers, G. S. and Joseph D. D, (1967). Boundary conditions at a naturally permeable wall, J. Fluid Mech., 30, pp. 197-207.
- Chamkha, J, (1994). Unsteady flow of a dusty conducting fluid through a pipe, Mech. Research Comm., 21(3), pp.281-286.
- Dube, S. N. and Sharma, C. L., (1975). A note on unsteady flow of a dusty viscous fluid in a circular pipe, J. Phy. Soc. Japan. 13(10), pp. 298-310.
- Elangovan K. and Ratchagar, N. P., (2010). Steady flow through a circular vertical pipe with slip at the permeable boundary with an applied magnetic field, Applied Mathematical Sciences, 4(50), pp. 2445-2452.
- Gadiraju, M., Peddieason, J. and Munukutia, S., (1992) Great solution for two phase vertical pipe flow, Mechanics Research Comm. 19(1), pp. 7-13.
- Goren, S.L, (1966).On free convection in water at fC, Chem. Engng., 21, pp. 515-518.
- Gupta, M., Dubey, G.K. and Sharma, H.S., (1979). Laminar free convection flow with and without heat source through coaxial circular pipes, Indian J. pure appl. Math., 10(7), pp. 792-799.
- Kishore, N. and Pandey, R.D., (1977). On the flow of a dusty viscous liquid through a circular pipe, Proc. Indian Acad. Sci. 85 A, (5), pp. 299-302.
- Krishan, B., Gupta, G.D. and Sharma, G.C., (1984). Free convective MHD flow between two coaxial circular pipes, Bull. Cal. Math. Soc. 76, pp. 315-320.
- Moreau, R., (1990). Magnetohydrodynamics, Kluwer Academic Publisher, Dordrecht.
- Nanda, R.S., and Sharma, V.P., (1963). Free convective flow with and without heat source in circular pipes, Appl. scientific Res., A 11(3), pp. 279-291.
- Ostrach, S., (1952). Laminar natural convection flow and heat transfer of liquid with and without heat source in channels with constant wall temperature, NACA TN, 2863.
- Ostrach, S., (1954). Combine natural and forced convection laminar flow and heat transfer of fluids with and without heat source on channels with linearly varying wall temperature, NACA TN, 3141.
- Ritler, J.H. and Peddieson, J., (1997). Transient two phase flows in channels and circular pipes, Proceeding 6th Canadian congress of applied Mechanics.
- Singh, R and Lawrence, R. L., (1979). Influence of a slip velocity at a membrane surface on ultra filtration performances-11(tube flow system), Int. J. Heat and Mass Transfer, 22(5), pp. 731-737.

- Unsteady Heat and Mass Transfer in MHD Viscoelastic Fluid Flow through Porous Medium between Two Inclined Porous Parallel Plates with Soret Effect and G-Jitter Force

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1 Department of Mathematics & Statistics Himachal Pradesh University Shimla -5, IN

#### Authors

**Affiliations**

1 Department of Mathematics & Statistics Himachal Pradesh University Shimla -5, IN

#### Source

The Journal of the Indian Mathematical Society, Vol 83, No 3-4 (2016), Pagination: 289-312#### Abstract

The unsteady two-dimensional convective flow of a viscous incompressible, electrically conducting, viscoelastic fluid (Rivlin-Ericksen Model) through porous medium bounded between two inclined porous plates with time dependent injection and same suction velocity has been investigated. At the first plate where injection and same suction velocity has been investigated. At the first plate where injection is taking place is assumed to have a slip property while the other plate is moving with a constant velocity. A first order chemical reaction is considered. Magnetic field is applied transversely to the channel, and assumed so strong that the induced magnetic field is negligibly small. The inclination of channel with direction of gravity is assumed to be between 0 and 90 (acute angle). The effects of a number of non-dimensional parameters namely; Prandtl number (P_{r}), Grashof number (G

_{r}), modified Grashof number (G

_{c}), frequency of oscillation (ω), viscoelastic parameter (R

_{c}), Soret number (S

_{0}) and heat absorption coefficient (Q

_{0}) entering into the problem on the velocity, temperature and concentration profiles are stud- ied in detail. Solution of the present problem is found analytically by the method of perturbation technique. Pertinent results regarding the effect of above said non-dimensional numbers for velocity, temperature and concentration profiles are concluded from graphs and tables. Scientific software and Origin software are used for numerical calculations and plot of graphs respectively. The contribution of the temperature gradient to the flux of matter (Soret effect), the effect of angle of inclination of channel and effect of g-jitter are the leading phenomenon.

#### Keywords

Free Convection, Inclined Channel, MHD (Magneto Hydro-Dynamics), Viscoelastic Fluid, Soret Effect.#### References

- S. M. Alharbi, M. A. A. Bazid, and M. S. E. Glendy, Heat and mass transfer in MHD viscoelastic fluid through porous medium over a stretching sheet with chemical reaction. Applied Mathematics, 1 (2010), 446-455.
- F. Ali, I. Khan and S. Shafie, Closed form solutions for unsteady free convective flow of a second grade fluid over an oscillating vertical plate, PLOS ONE 9 (2014) 1-15.
- K. Chand, K. D. Singh and S. Sharma, Combined effects of chemical reaction and radiation on heat and mass transfer in oscillatory MHD flow of viscoelastic fluid through vertical channel, Research J. Science and Tech. 5 (2013), 77-84.
- C. H. Chen, Heat and mass transfer in MHD flow by natural convection from a permeable, inclined surface with variable wall temperature and concentration. Acta Mechanica 172 (2004), 219-235.
- T. Chinyoka, S. P. Goqo, and B. I. Olajuwon, Computational analysis of gravity driven flow of a variable viscosity viscoelastic fluid down an inclined plane. Computers and Fluids, 84 (2013), 315-326.
- C. I. Christov and G. M. Homsy, Nonlinear dynamics of two dimensional convection in a vertically stratified slot with and without gravity modulation. J Fluid Mech 430 (2001), 335-360.
- K. R. Crammer and S. Pai, Magneto fluid dynamics for engineers and Applied Physicist, McGraw Hill New York (1973).
- A. C. Cogley, W. G. Vincent, and S. E. Giles, Differential approximation to radiative heat transfer in a non-grey gas near equilibrium. AIAA, 6 (1968), 551-553.
- G. C. Dash, P. K. Rath and N. Mahapatra, Unsteady free convection MD flow and mass transfer through porous media of a second order fluid between two heated plates with source/sink, Proc Nat Acad Sci., India section A, 80 (2010) 203-212.
- A. Farooq and G. M. Homsy, Streaming flows due to g-jitter induced natural convection, J Fluid Mech, 271 (1994), 351-378.
- A. Farooq and G. M. Homsy, Linear and nonlinear dynamics of a differentially heated slot under gravity modulation, J Fluid Mech, 313 (1996), 1-38.
- M. Farooq, M. T. Rahim, S. Islam, and A. M. Siddiqui, Steady Poiseulle flow and heat transfer of couple stress fluids between two parallel inclined plates with variable viscosity. Journal of the Association of Arab Universities for Basic and Applied Sciences, 14 (2013), 9-18.
- A. V. Glazunov and Dymnikov, Spatial spectra and characteristic horizontal scales of temperature and velocity fluctuations in convective boundary layer of the atmosphere. Izvestiya, Atmospheric and oceanic physics, 49 (2013), 33-54.
- P. M. Gresho and R. L. Sani, The effects of gravity modulation on the stability of a heated fluid layer. J Fluid Mech, 40 (1970) 783-806.
- T. Hayat, F. M. Abbasi, Al. M. Yami, and S. Monquel, Slip and joule heating effects in mixed convection peristaltic transport of nano-fluid with Soret and Dufour effects. Journal of Molecular liquids, 194 (2014), 93-99.
- S. Jothimani, and S. P. A. Devi, Hydromagnetic slip flow with heat transfer in an inclined channel. Czechoslovak Journal of Physics, 48 (1998), 89-96.
- J. P. Mahato, Unsteady free convective flow and mass transfer in a rotating porous medium, Indian J Technol, 26 (1988), 225-234.
- A. Manglesh, and M. G. Gorla, MHD free convective flow through porous medium in the presence of Hall current, radiation and thermal diffusion. Indian J. Pure and Appl. Math., 44 (2013), 743-756.
- H. Neff, Lima, A. M. N., Loureiro, F. C. C. L. and Almeida, L. A. L. Transient response analysis and modeling of near wall flow conditions in micro channel: evidence of slip flow, Micro fluid Nano fluid, 3 (2007), 591-602.
- J. Prakash, D. Bhanumathi, A. G. V. Kumar, and S. V. K. Varma, Diffusion- Thermo and radiation effects on unsteady MHD flow through porous medium past an impulsively started infinite vertical plate with variable temperature and mass diffusion. Transp. Porous Med. 96 (2013), 135-151.
- M. M. Rashidi, T. Hayat, E. P. Erfani, S. A. M. Pour and A. A. Hendi, Simultaneous effects of partial slip and thermal-diffusion and diffusion-thermo on steady MHD convective flow due to a rotating disk. Commun Nonlinear Sci Numer Simulat, 16 (2011), 4303-4317.
- M. C. Raju, S. V. K. Varma, P. V. Reddy, and S. Saha, Soret effect due to natural convection between heated inclined plates with magnetic field. Journal of Mechanical Engineering, 39 (2008), 65-70.
- H. Schlichting, Boundary layer theory, Mc Graw-Hill, New York (1960).
- C. Seis, Laminar Boundary layers in convective heat transport. Communications in Mathematical Physics, 324 (2013), 995-1031.
- V. Shevtsova, I. I. Ryzkov, D. E. Melnikov, Y. A. Gaponenko and A. Mialdun, Experimental and theoretical study of vibration-induced thermal convection in low gravity, J Fluid Mech, 648 (2010), 53-82.
- S. Srinivas, T. Malathy and A. S. Reddy, A note on thermal-diffusion and chemical reaction effects on MHD pulsating flow in a porous channel with slip and convective boundary conditions. Journal of King Saud University- Engineering Sciences. http://dx.doi.org/10.1016/j.jksues.2014.03.011.
- K. D. Singh, Visco-elastic MHD convective periodic flow through porous medium in a rotating vertical channel with thermal radiation, Journal of Global Research in Mathematical Archives, 1(2013), 8-20.

- Combined Effects of Heat Radiation and Rotation on Free Convective Flow on Vertically Upwards Heated Plate with Gravity Modulation in Slip Flow Region

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1 Department of Mathematics and Statistics, Himachal Pradesh University, Shimla-5, IN

#### Authors

**Affiliations**

1 Department of Mathematics and Statistics, Himachal Pradesh University, Shimla-5, IN

#### Source

Research Journal of Engineering and Technology, Vol 6, No 1 (2015), Pagination: 95-101#### Abstract

Unsteady free convective flow of a viscous incompressible fluid in a porous medium past an infinite vertical rotating porous plate with gravity modulation is considered. Expressions for velocity, temperature and concentration profiles are obtained. Also the expressions for the skin-friction coefficient, rate of heat transfer and Sherwood number are derived. The effects of Prandtl number (Pr), Grashof number (Gr), modified Grashof number (Gc), frequency of oscillation (ω), Rotation parameter (E), gravity modulation parameter(α), Heat radiation (R_{p}) and Permeability parameter (k

_{0}) are studied through graphs. It is found that primary fluid velocity decreases with increase of rotation parameter whereas secondary fluid velocity is increased. It has been noticed that with increase of gravity modulation parameter primary velocity increases. With increase of radiation parameter the temperature decreases. Concentration decreases with increase of Chemical reaction parameter.

#### Keywords

Heat Radiation, Rotation, Free Convection, Gravity Modulation, Slip Flow Region.- An Exact Solution of Unsteady Free Convective MHD Flow Past a Hot Vertical Porous Plate with Variable Temperature in Slip Flow Regime

Abstract Views :76 |
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1 Department of Mathematics & Statistics, Himachal Pradesh University, Shimla-5, IN

#### Authors

**Affiliations**

1 Department of Mathematics & Statistics, Himachal Pradesh University, Shimla-5, IN

#### Source

Research Journal of Engineering and Technology, Vol 6, No 1 (2015), Pagination: 102-109#### Abstract

An analysis of an unsteady free convective flow of a viscous, incompressible, electrically conducting fluid past an infinite hot vertical porous plate in slip flow regime has been carried out under the following assumptions: (i)the suction velocity normal to the plate is constant, (ii) the plate temperature is spanwise cosinusoidal fluctuating with time, (iii) the difference between the temperature of the plate and the free stream is moderately large causing free convection currents and (iv) the transversely applied magnetic field and magnetic Reynold number are really small and, hence, the induced magnetic field is negligible. The governing equations have been solved by adopting complex variable notations and the expressions for velocity and temperature fields obtained. The transient velocity, temperature, and amplitude the shear stress and heat transfer at the plate have been discussed.#### Keywords

Unsteady, Free Convective, MHD, Span Wise Fluctuating Temperature.- Effects of Heat and Mass Transfer on MHD Flow Past a Moving Porous Plate through Porous Medium with Viscous Dissipation

Abstract Views :78 |
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1 Department of Mathematics & Statistics, Himachal Pradesh University, Shimla-171005, IN

#### Authors

**Affiliations**

1 Department of Mathematics & Statistics, Himachal Pradesh University, Shimla-171005, IN

#### Source

Research Journal of Engineering and Technology, Vol 6, No 1 (2015), Pagination: 113-118#### Abstract

The present study deals with the effects of heat and mass transfer on MHD free convective flow of an incompressible and electrically-conducting fluid along an infinite vertical moving plate embedded in the porous medium by taking into account the effect of viscous dissipation. A uniform magnetic field is applied perpendicular to the plane of the plate. The dimensionless governing equations are solved analytically using two-term harmonic and non-harmonic functions. The numerical calculations are performed to illustrate the influence of parameters used in the problem on the velocity, temperature and concentration. The graphical representations of the numerical results reveal that increased cooling of the plate and the Eckert number leads to a rise in the velocity profile. Also, an increase in Prandtl number leads to decrease in the temperature.#### Keywords

MHD, Heat and Mass Transfer, Porous Medium, Viscous Dissipation Mathematical Subject Classification (2010):76D05, 76D10.- Radiating Flow with Induced Magnetic Field Over a Vertical Porous Plate in Presence of Heat Source

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1 Department of Mathematics and Statistics, H.P.University-Shimla, IN

2 Department of Mathematics & Statistics, H.P. University-Shimla, IN

#### Authors

**Affiliations**

1 Department of Mathematics and Statistics, H.P.University-Shimla, IN

2 Department of Mathematics & Statistics, H.P. University-Shimla, IN

#### Source

Research Journal of Engineering and Technology, Vol 6, No 1 (2015), Pagination: 41-46#### Abstract

In the present study the effects of thermal radiation, heat source and magnetic Prandtl number on heat and mass transfer in mixed convection MHD flow of a viscous, incompressible, electrically conducting fluid over a vertical porous plate taking into account the induced magnetic field has been analyzed. The plate is subjected to a constant suction velocity. The expression for the velocity, temperature, concentration, skin friction and induced magnetic, coefficient of rate of heat and mass transfer in term of Nusselt number and Sherwood number at the plate are obtained in non-dimensional form. Numerical value of velocity, temperature, skin friction and induced magnetic field for different value of the parameters involved in the problem are expressed through the graphs and table. The results are discussed in detail.#### Keywords

Magnetic Prandtl Number, Induced Magnetic Field, Radiation, Heat Source.- Injection/Suction Effect on MHD Convective Flow through Porous Medium Filled in a Vertical Porous Channel with Heat Radiation and Chemical Reaction

Abstract Views :118 |
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1 Railways Vihar, Mansa Devi Campus, Sector-4, Panchkula (Haryana), IN

2 Department of Mathematics & Statistics, Himachal Pradesh University, Shimla-171005, IN

#### Authors

**Affiliations**

1 Railways Vihar, Mansa Devi Campus, Sector-4, Panchkula (Haryana), IN

2 Department of Mathematics & Statistics, Himachal Pradesh University, Shimla-171005, IN

#### Source

International Journal of Technology, Vol 6, No 2 (2016), Pagination: 215-222#### Abstract

The paper attempt to investigate the effect of injection/suction on the flow of electrically conducting fluid through a porous channel filled with porous material. A magnetic field of uniform strength is applied perpendicular to the plane of the porous channel. The effect of heat radiation, heat source and chemical reaction has been taken into consideration. The governing equations are solved analytically by using complex variable notation. The expressions for velocity, temperature, concentration, skin friction coefficient, rate of heat transfer and rate of mass transfer have been obtained. The effect of various parameters entering the governing equation have been evaluated numerically and expressed graphically and in tabular form. A detailed discussion is given in the result and discussion section of the research paper.- Radiating and Dissipative Flow with Induced Magnetic Field over a Porous Vertical Plate

Abstract Views :100 |
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1 Department of Mathematics and Statistics, H.P.University, Shimla, IN

#### Authors

**Affiliations**

1 Department of Mathematics and Statistics, H.P.University, Shimla, IN

#### Source

International Journal of Technology, Vol 6, No 2 (2016), Pagination: 93-98#### Abstract

The objective of present study is to investigate the effects of thermal radiation and magnetic Prandtl number on heat and mass transfer in mixed convection MHD flow of a viscous, incompressible, electrically conducting optically thin gray fluid over a vertical porous plate taking into account the induced magnetic field. The plate is subjected to a constant suction velocity. Numerical value of velocity, temperature, skin friction and induced magnetic field for different value of the parameters involved in the problem are expressed through the graphs and table. The results are discussed in detail.#### Keywords

Viscous Dissipative Heat, Magnetic Prandtl Number, Induced Magnetic Field, Radiation.- Hydromagnetic Flow of Dusty Viscoelastic (walter's Liquid Model-B) Fluid Past a Plate with Chemical Reaction and Soret Effect

Abstract Views :155 |
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1 Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, IN

#### Authors

**Affiliations**

1 Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, IN

#### Source

International Journal of Technology, Vol 6, No 2 (2016), Pagination: 107-112#### Abstract

An unsteady flow of dusty viscoelastic (Walter's liquid model-B) fluid past an impulsively started vertical plate through porous medium with heat source/sink in the presence of chemical reaction and thermo diffusion (Soret effect) is investigated. The constitutive equations, which are partial differential equations, are converted into ordinary differential equations and then the expressions for velocity, temperature and concentration profile are obtained. The numerical calculations are performed to point up the influence of pertinent flow parameters on velocity, temperature and concentration profile. Some important characteristics of flow field such as non-dimensional skin friction coefficient, Nusselt number and Sherwood number are also studied.#### Keywords

Viscoelastic Fluid, Walter's Liquid Model-B, Porous Medium, Dusty Fluid.- Effect of Rotation on Free Convective Flow on Vertically Upwards Heated Plate with Gravity Modulation in Slip Flow Region

Abstract Views :133 |
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1 Department of Mathematics & Statistics, Himachal Pradesh University, Shimla -5, IN

#### Authors

**Affiliations**

1 Department of Mathematics & Statistics, Himachal Pradesh University, Shimla -5, IN

#### Source

International Journal of Technology, Vol 4, No 1 (2014), Pagination: 20-26#### Abstract

The aim of this present paper is to study free convective unsteady flow of a viscous incompressible, rotating fluid in a porous medium past an infinite vertical plate with gravity modulation to the flow region. Expressions for velocity, temperature and concentration distribution are obtained by using perturbation technique. Also the expressions for the skinfriction coefficient, rate of heat transfer and Sherwood number are derived. The effects of Prandtl number (Pr), Grashof number (Gr), modified Grashof number (Gc), frequency of oscillation(ω), Rotation parameter (E), gravity modulation parameter(α ) and Permeability parameter (K_0) are studied through graphs. It is found that primary velocity of fluid decreases with increase of rotation parameter whereas secondary velocity is increased near to the wall. And with increase of Prandtl number velocity as well as temperature decreases. Concentration decreases with increase of Schmidt number.#### Keywords

Rotation, Free Convection, Gravity Modulation, Slip Flow Region.- Heat and Mass Transfer in Radiating and Chemically Reacting MHD Oscillating Flow of Viscoelastic Fluid in Vertical Channel in Slip Flow Regime

Abstract Views :109 |
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1 Department of Mathematics & Statistics, H.P. University, Shimla-171005, IN

2 Department of Mathematics, Central University, H.P. Dharamshala, IN

#### Authors

**Affiliations**

1 Department of Mathematics & Statistics, H.P. University, Shimla-171005, IN

2 Department of Mathematics, Central University, H.P. Dharamshala, IN

#### Source

International Journal of Technology, Vol 4, No 1 (2014), Pagination: 1-6#### Abstract

The paper investigate the effect of heat and mass transfer in radiating and chemically reacting MHD oscillatory flow of viscoelastic fluid [Walter liquid model B] in a vertical channel with slip condition on one plate of the channel. The uniform magnetic field B_{o} is applied perpendicular to the planes of the plates. A closed form solutions of the equations governing the flow are obtained for the velocity, temperature and concentration profile. The velocity, temperature, and concentration profiles as well as skin friction coefficient and mass transfer rate are evaluated numerically and presented graphically for different value of flow parameters.

#### Keywords

Radiating, Chemically Reacting, MHD Oscillatory, Viscoelastic, Slip Flow Regime.- On Heat and Mass Transfer in Chemically Reacting and Radiating Viscoelastic MHD Flow through Porous Medium in Vertical Channel

Abstract Views :98 |
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1 Department of Mathematics and Statistics, Himachal Pradesh University, Shimla-171005, IN

2 Department of Mathematics (ICDEOL), Himachal Pradesh University, Shimla-171005, IN

#### Authors

**Affiliations**

1 Department of Mathematics and Statistics, Himachal Pradesh University, Shimla-171005, IN

2 Department of Mathematics (ICDEOL), Himachal Pradesh University, Shimla-171005, IN

#### Source

International Journal of Technology, Vol 4, No 1 (2014), Pagination: 1-7#### Abstract

An investigation of heat and mass transfer effect on incompressible chemically reacting, radiating and electrical conducting viscoelastic fluid through porous medium in porous vertical channel has been carried out. The magnetohydro dynamics (MHD) flow is assumed to be laminar and fully developed. A uniform magnetic field is applied in the direction perpendicular to the plane of the plates. The equations governing the flow are solved by perturbation technique. The velocity, temperature, concentration fields, coefficient of skin friction, rate of heat and mass transfer are evaluated numerically and discussed with the help of graphs and tables.#### Keywords

Chemically Reacting, MHD, Porous Medium, Radiating, and Viscoelastic Fluid.- Variable Thermal Conductivity and Heat Source Effect on Hydromagnetic Flow of Viscous Stratified Fluid Past a Vertical Porous Plate through Porous Medium

Abstract Views :78 |
PDF Views:1

1 Department of Mathematics and Statistics, H.P. University-Shimla, IN

#### Authors

**Affiliations**

1 Department of Mathematics and Statistics, H.P. University-Shimla, IN

#### Source

Research Journal of Science and Technology, Vol 9, No 1 (2017), Pagination: 207-211#### Abstract

An analysis of unsteady convective flow of viscous stratified fluid through porous medium past an infinite vertical porous plate in presence of heat source under the influence of magnetic field applied normal to the plane of the plate has been presented. The dimensionless governing equations are solved by using Laplace transform technique. The solution are expressed in terms of exponential and complimentary error function. The effects of various parameters on velocity and temperature field are depicted graphically, whereas skin friction and rate of heat transfer are presented in tabular form and discussed.- Effects of Rotation, Radiation and Hall Current on MHD Flow of a Viscoelastic Fluid Past an Infinite Vertical Porous Plate through Porous Medium with Heat Absorption, Chemical Reaction and Variable Suction

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1 Himachal Pradesh University, Department of Mathematics and Statistics, Shimla, IN

#### Authors

**Affiliations**

1 Himachal Pradesh University, Department of Mathematics and Statistics, Shimla, IN

#### Source

The Journal of the Indian Mathematical Society, Vol 85, No 1-2 (2018), Pagination: 16-31#### Abstract

The present study analyses the effects of Hall current and heat absorption on a viscous, incompressible, optically thick and electrically conducting viscoelastic fluid flow past an infinite vertical porous plate through porous medium in rotating system with variable suction, thermal radiation and chemical reaction in the presence of uniform magnetic field. The perturbation technique is employed to solve the governing nonlinear partial differential equations to obtain the expressions for velocity, temperature and concentration profile. With the help of graphs and tables, the effects of pertinent flow parameters on the velocity, temperature and concentration fields, shear stress, Nusselt number and Sherwood number within the boundary layer are discussed. The results reveal that the observed parameters in rotating system have a noteworthy influence on the ow, heat and mass transfer.#### Keywords

Viscoelastic Fluid, Chemical Reaction, Thermal Radiation, Hall Current.#### References

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- Two Wheeler Drivers’ Risk Taking Attitude Towards Road Accident

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1 Asia Pacific Institute of Information Technology (APIIT), SD India, Panipat, Haryana, IN

#### Authors

Khem Chand

^{1}**Affiliations**

1 Asia Pacific Institute of Information Technology (APIIT), SD India, Panipat, Haryana, IN

#### Source

Invertis Journals of Management, Vol 7, No 2 (2015), Pagination:#### Abstract

The objective of the study is to identify two-wheeler drivers’ risk taking attitude towards road accident. The data of the study has been obtained through self-administrated questionnaire with a sample of 105 two-wheeler drivers from Panipat (Haryana). 22 items have been comprised into four factors that define two-wheeler drivers’ risk taking attitude. Descriptive research design has been used in the study with the purpose of describing drivers’ risk taking attitude towards road accidents. The study has observed that there is significant difference between male and female two-wheeler drivers’ risk taking attitude regarding all the factors such as enforcement of law, non-driving activities, traffic rules and carelessness and significant difference is also observed between two-wheeler drivers who got the driving training and did not get the driving training regarding all the factors of risk taking attitude excluding traffic rules. There is insignificant difference between two-wheeler drivers’ risk taking attitude that having the driving license and do not having the driving license regarding all the factors of risk taking attitude except carelessness.#### Keywords

Road Accidents, Risk Taking Attitude, Enforcement of Laws, Carelessness, Non-Driving Activities, Traffic Rules, Driving Training, Driving License.- Economic Growth and Unemployment Rate:An Empirical Study of Indian Economy

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1 Asia Pacific Institute of Information Technology SD India, Panipat, Haryana, IN

2 International Institute of Management Studies, Pune, Maharashtra, IN

#### Authors

**Affiliations**

1 Asia Pacific Institute of Information Technology SD India, Panipat, Haryana, IN

2 International Institute of Management Studies, Pune, Maharashtra, IN

#### Source

PRAGATI : Journal of Indian Economy, Vol 4, No 2 (2017), Pagination: 130-137#### Abstract

Unemployment has been a major problem for India from a long time. The problem of unemployment is a global phenomenon, with international bodies like ILO predicting the rise in unemployment in India in coming years. The study attempts to find out the effect of economic growth on unemployment rate in India. Gross Domestic Product has been considered as an indicator of economic growth for the study. The data regarding GDP and unemployment rate have been collected from secondary sources like WorldBank database. Correlation and Regression analysis have been used to study the nature and degree of effect of economic growth on unemployment rate. It has been found that there is a strong negative correlation between economic growth and unemployment rate. Also, it was found that GDP accounts for 48% of cause of change in unemployment rate. The findings are in line with the Okun’s law and the conclusions of studies conducted in the past.#### Keywords

Unemployment, Gross Domestic Product, Okun’s Law.#### References

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