Refine your search
Collections
Year
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z All
Anjali Devi, S.P.
- Steady MHD Boundary Layer Flow Past a Shrinking Sheet in the Presence of Chemical Reaction and Suction with Prescribed Heat and Mass Fluxes
Abstract Views :689 |
PDF Views:0
Authors
Affiliations
1 Department of Applied Mathematics, Bharathiar University, Coimbatore - 46, Tamil Nadu, IN
1 Department of Applied Mathematics, Bharathiar University, Coimbatore - 46, Tamil Nadu, IN
Source
Research Journal of Science and Technology, Vol 5, No 1 (2013), Pagination: 165-172Abstract
A steady laminar hydromagnetic flow of a viscous, incompressible electrically conducting fluid with heat and mass transfer over a shrinking sheet with prescribed heat and mass fluxes in the presence of chemical reaction is investigated. The sheet is subjected to suction and the flow is caused due to linear shrinking of the sheet. The governing nonlinear partial differential equations reduce to nonlinear ordinary differential equations by using similarity transformation. Exact solution of the momentum equation is found. The analytical solution for the boundary layer energy and concentration equation is found using Confluent hypergeometric function. Analytical expression for skin friction coefficient, wall temperature and wall concentration are also obtained. In order to get the physical insight of the problem the numerical values of the solution are obtained by fixing the values for the physical parameters involved in the problem namely Suction parameter, Magnetic parameter, Prandtl number, Heat flux parameter, Schmidt number, Chemical reaction parameter and Mass flux parameter. The results agree with the previous investigation under some special cases.Keywords
Boundary Layer Flow, Magnetohydrodynamics, Shrinking Sheet, Heat and Mass Transfer, Confluent Hypergeometric Function.
References
- Sakiadis, B.C. (1961). Boundary layer behaviour on continuous solid surface. AIche J, 7: 221-225.
- Crane, L. J. (1970). Flow past a stretching plate. Z Angew Math Physics, 21(4): 645-647.
- Chakrabarti, A., & Gupta, A.S. (1979). Hydromagnetic flow and heat transfer over a stretching sheet. Quart Appl Math, 37: 73-78.
- Chen, C.K., & Char, M.I. (1988). Heat transfer of a continuously stretching surface with suction and blowing. J Math Anal Appl, 135: 568-580.
- Ali, M.E. (1995). Thermal boundary layer on a power-law stretched surface with suction or injection. Int J Heat Fluid Flow, 16: 280-290.
- Elbashbeshy, E.M.A. (1998). Heat transfer over a stretching surface with variable surface heat flux. J Phys D: Appl Phys, 31:1951-1954.
- Anjali Devi, S.P., & Ganga, B. (2009). Viscous dissipation effects on nonlinear MHD flow in a porous medium over a stretching surface. Int J Appl Math Mech, 5(7): 45-59.
- Miklavcic, M., & Wang, C.Y. (2006). Viscous flow due to a shrinking sheet. Quart Appl Math, 64(2), 283-290.
- Hayat, T., Abbas, Z., & Javed, T. (2009). Three dimensional rotating flow induced by a shrinking sheet for suction. Choas Solitions & Fractals, 39: 1615-1626.
- Fang, T., & Zhang, J. (2010). Thermal boundary layers over a shrinking sheet: an analytical solution. Acta Mech, 209: 325-343.
- Sajid, M., Javed, T., & Hayat, T. (2008). MHD rotating flow of a viscous fluid over a shrinking surface. Nonlinear dyn, 51: 259- 265.
- Muhaimin, Kandasamy, R., & Khamis, A B. (2008). Effects of heat and mass transfer of nonlinear MHD boundary layer flow over a shrinking sheet in the presence of suction. Applied mathematics and Mechanics, 29(10), 1309-1317.
- Fang, T., & Zhang, J. (2009). Closed-form exact solutions of MHD viscous flow over a shrinking sheet. Commun Nonlinear Sci Numer Simulat, 14: 2853-2857.
- Bhattacharyya, (2011). Effects of heat source/sink on MHD flow and heat transfer over a shrinking sheet with mass suction. Chemical Engineering Research Bulletin, 15: 12-17.
- Unsteady Hydromagnetic Flow past a Stretching Surface with Dissipation and Radiation Effects
Abstract Views :704 |
PDF Views:0
Authors
Affiliations
1 Department of Applied Mathematics, Bharathiar University, Coimbatore – 641046, Tamil Nadu, IN
1 Department of Applied Mathematics, Bharathiar University, Coimbatore – 641046, Tamil Nadu, IN
Source
Research Journal of Science and Technology, Vol 5, No 1 (2013), Pagination: 177-183Abstract
This paper deals with an analysis which is performed to investigate the effects of dissipation and radiation over an unsteady MHD flow past a stretching surface. The fluid is assumed to be viscous, incompressible electrically conducting and radiating. The unsteadiness in the flow is caused by the time-dependence of the velocity of the stretching surface. The governing partial differential equations of the flow are transformed into nonlinear ordinary differential equations using Similarity Transformations. Numerical solution of the non-linear differential equations are obtained using efficient shooting technique such as Runge-Kutta Fourth order based shooting method along with Nachtsheim-Swigert Iteration technique for the satisfaction of asymptotic boundary conditions. Numerical computations for velocity and temperature are carried out for different values of the non-dimensional parameters involved in the study such as Unsteadiness parameter (A), Magnetic parameter (M), Prandtl number (Pr), Eckert number (Ec), Radiation parameter (R). The Skin Friction Co-efficient and the Rate of heat transfer at the plate are also calculated numerically.Keywords
Unsteady, Stretching Surface, MHD, Viscous Dissipation, Joule’s Dissipation, Radiation.References
- Alam, M., Alim, M.A and Chowdhury, M.K. (2007) Nonlinear Anal. Model. Control, 12(4), 447.
- Anjali Devi, S.P., Ganga, B. (2009) Nonlinear Anal. Modell. Control, 14(3), 303.
- Chakrabarti, A., Gupta, A.S. (1979) Q. Appl. Math., 37, 73.
- Chen, C.K., Char, M.I. (1988) J. Math. Anal. Appl., 135(1), 568.
- Copiello, D., Fabbri, G. (2008) Heat Mass Trans., 44, 599.
- Cortell, R. (2008) Phys. Lett. A, 372, 631.
- Crane, L.J. (1970) J. Appl. Math. Phys. (ZAMP), 21, 645.
- Dutta, B.K., Roy, P., Gupta, A.S. (1985) Int. Common. Heat Mass Transfer, 12 (1), 89.
- El-Amin, M.F. (2003) J. Magn. Magn. Mater. 263, 337.
- Erickson, L.E., Fan, L.T., Fox, V.G. (1966) Indust. Engrg. Chem.Fund 5, 19.
- Gebhart, B.(1962) J. Fluid M ech., 14, 225.
- Kumar, B., Rajesh, D., Raghuraman, R.S., Muthucumaraswamy, R. (2002.) Acta Mech., 153, 249.
- Mahmoud, M.A.A. (2007) Appl. Math. Sci., 1(17), 799.
- Pal. D., Talukdar, B. (2010) Commun. Nonlinear Sci. Numer. Simul. 15, 1813.
- Sakiadis, B.C. (1961) AIChE J. 7, 26.
- Samad, M.A., Mohebujjaman, M. (2009) Res. J. Appl. Sci. Eng. Technol., 1(3), 98.
- Soundalgekar, V.V., Ramanamurthy, T.V. (1980) Warme und Stoffubertragung 14, 91.
- Tsou, F.K., Sparrow, F.K., Goldstein, R.J. (1967) Internat. J. Heat Mass Transfer, 10(1967), 219.
- Vajravelu, K., Hadjinicalaou, A. (1993) Int. Comm. Heat Mass Trans., 20, 417.
- Vajravelu. K., Rollins, D. (1992) Internat. J. Non-Linear Mech., 27 (2), 265.
- Transient Free Convection MHD Flow Between Two Vertical Walls with One Wall Moving in the Presence of Induced Magnetic Field and Heat Sink
Abstract Views :675 |
PDF Views:0
Authors
Affiliations
1 Department of Applied Mathematics, Bharathiar University, Coimbatore-46, Tamil Nadu, IN
1 Department of Applied Mathematics, Bharathiar University, Coimbatore-46, Tamil Nadu, IN
Source
Research Journal of Science and Technology, Vol 5, No 1 (2013), Pagination: 198-206Abstract
Free convection in real fluids has been studied extensively due to its widespread applications in industry and geophysics. Most of these studies have focused on the effects of different fluid dynamical processes and flow geometry on the ensuing flow. The objective of this paper is to study the transient free convection flow of an electrically conducting, viscous, incompressible fluid between two vertical walls, with one wall moving, in the presence of induced magnetic field and heat sink is considered. A uniform external magnetic field is applied normal to the walls. The governing non-dimensional equations are solved numerically using Matlab. Effects of non-dimensional parameters such as Hartmann number, Prandtl number, Magnetic Prandtl number, Buoyancy distribution parameter, heat sink parameter and the wall parameter over the velocity, induced magnetic field and temperature distribution have been discussed with the help of graphs.Keywords
Transient Free Convection, MHD, Heat Sink, Vertical Wall, Buoyancy Distribution Parameter.References
- Ajibade AO and Jha BK (2009) Transient natural convection flow between vertical parallel plates with temperature dependent heat sources/sinks. Int. J. Heat Technol., 27, 87–94.
- Borkakati AK and Chakrabarty S (1999) Unsteady free convection MHD flow between two heated vertical parallel plates in induced magnetic field. Indian J. of Theoretical Physics, India, 47, 43-60.
- Ghosh SK,Anwar Beg O and Zueco J (2010) Hydromagnetic free convection flow with induced magnetic field effects. Meccanica, 45,175-185.
- Gourla MG and Katoch SL (1991) Unsteady free convection MHD flow between heated vertical plates. Ganita, 42, 143-153.
- Hartmannn J (1937) Hydrodynamics I. Theory of the laminar flow of an electrically conducting liquid in a homogeneous magnetic field, Kgl. Danske Videnskabernes Selskab. Math Fys Med 14, 1–27.
- Higuera FJ and Ryazantsev YuS (2002) Natural convection flow due to a heat source in vertical channel. International Journal of Heat and Mass Transfer, 45 , 2207–2212.
- Jha BK, Singh AK and Takhar HS (2003) Transient free convection flow in a vertical channel due to symmetric heating. Int. J. Applied Mechanics and Engineering, 8, 497-502.
- Joshi HM (1988) Transient effects in natural convection cooling of vertical parallel plates. Int. Comm. Heat Mass Transfer. 15, 227-238.
- Mansour A. Al-Subaie, and Chamkha Ali J (2003) Analytical solutions for hydromagnetic natural convection flow of a particulate suspension through a channel with heat generation or absorption effects. Heat and Mass Transfer , 39, 701–707.
- Mishra SP, Mohapatra P (1975) Unsteady free convection flow from a vertical plate in the presence of a uniform magnetic field. ZAMM, 55, 759–762.
- Ostrach S. (1952) Laminar natural convection flow and heat transfer of fluids with and without heat sources in channels with constant wall temperature. NASA TN No. 2863.
- Paul T, Jha BK. and Singh AK. (1996) Transient free convection flow in a vertical channel with constant heat flux on walls. Heat and Mass Transfer, 32, 61-63.
- Singh AK and Paul T (2006), Transient natural convection between two vertical walls heated/cooled asymmetrically. Int. j. Applied Mechanics and Engineering, 11, 143-154.
- Singh AK, Gholami HR and Soundalgekar VM (1996) Transient free convection flow between two vertical parallel plates. Heat and Mass Transfer, 31,329-332.
- Singh RK, Singh AK, Sacheti NC and Chandran P (2010) On hydromagnetic free convection in the presence of induced magnetic field. Heat Mass Transfer, 46, 523-529.
- Singha KG (2009) Analytical solution to the problem of MHD free convective flow of an electrically conducting fluid between two heated parallel plates in the presence of an induced magnetic field. International Journal of Applied Mathematics and Computation, 1, 183–193.
- Soundalgekar and Haldavnekar (1973) MHD Free Convective Flow in a Vertical Channel. Acta Mechanica. 16, 77-91.
- Takhar HS, Chamkha AJ, Nath G (1999) Unsteady flow and heat transfer on a semi-infinite flat plate with an aligned magnetic field. Int J Eng Sci, 37, 1723–1736.
- Takhar HS, Kumari M, Nath G (1993) Unsteady free convection flow under the influence of a magnetic field. Arch Appl Mech, 63, 313– 321.