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Raju, G. S. S.
- Unsteady Mhd Flow of a Non-Newtonian Fluid Down and Open Inclined Channel with Naturally Permeable Bed
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Authors
Affiliations
1 Department of Mathematics, CMRTechnical Campus, kandlakoya, Hyderabad, A.P., IN
2 Department of Mathematics, J N T U A College of Engg. Pulivendula, Y.S.R Dist., A.P, IN
3 Department of Mathematics, S.V.G.S. Junior College, Nellore, A.P, IN
1 Department of Mathematics, CMRTechnical Campus, kandlakoya, Hyderabad, A.P., IN
2 Department of Mathematics, J N T U A College of Engg. Pulivendula, Y.S.R Dist., A.P, IN
3 Department of Mathematics, S.V.G.S. Junior College, Nellore, A.P, IN
Source
International Journal of Fluids Engineering, Vol 5, No 1 (2013), Pagination: 57-76Abstract
This paper deals with unsteady MHD flow of a Walters fluid (Model B') an open inclined channel of width "2a' and depth 'd' under gravity, with naturally permeable bed, the walls of channel being normal to the surface of the bottom, under the influence of a uniform transverse magnetic field. The free surface is exposed to atmospheric pressure. A uniform tangential stress is applied at the free surface in the direction of flow. The naturally permeable bottom of the channel is taken at an angle β with the horizontal. Flow of fluid both in porous medium and in free fluid region is studied with the same pressure gradient. The exact solution of velocity distribution has been obtained by using Laplace transform and finite Fourier sine transform techniques. We have evaluated the velocity distribution and the flux of the fluid in different cases of time dependent pressure gradient g(t) viz., i) constant, ii) exponentially decreasing function of time and iii) cosine function of time. The effects of magnetic parameter 'M', viscoelastic parameter 'K0', permeable parameter 'K', Reynolds number 'R' and time 't' on velocity distribution 'u' and flux 'Cf' in three different cases are investigated.Keywords
Non-newtonian Fluid, Open Inclined Channel, Porous Medium, Magnetic Field
References
- Bakhmeteff B.A. 1932 Hydraulics of Open channels Newyork, McGraw - Hill Book Company.
- Beavers G.S. 1967 Boundary Conditions at a naturally Joseph D.D. permeable wall. J. Fluid Mech., 30, 197.
- Chow V.T. 1959 Open Channel Hydraulics McGraw - Hill, Inc., Newyork.
- Gupta P.C. 1983 Indian Journal. Theory.Phys., 81, 65. Chowdary J.S. Sharma R.G.
- Henderson F.M. 1966 Open channel flow, the Macmillan Company, Newyork.
- Johnson J.W. 1944 Trans. Am. Geophys. Un. 25, 906.
- SathyaPrakash 1971 Indian J. pure appl. Math.2, 103.
- Singh R. 1992 Ph.D. Theasis, Rajasthan University, Jaipur.
- Sneddon I.N. 1974 The use of integral transforms, Tata McGraw - Hill Book Co. Ltd.,
- Sparrow E.M. 1962 Trans, ASME, J. Appl. Mech. Cess R.D. 29, 1, 181.
- Vanoni V.A. 1941 Velocity distribution in open channels, Civil Engg., II, 356 - 357.
- VenkataRamana S. 1972 Hydro magnetic viscous flow down in an Bathaiah D. open inclined channel with natural permeable bed. Ganit (J.Bangladesh Math Soc., ) Vol.2, No.2, 94-100.
- Walters K. 1960 Quart. J.Math. Appl. Mech. 13, 444
- Walters K. 1962 J.Mech. 1, 479
- A Numerical Study of MHD and Heat Transfer Analysis in a non-Newtonian Eyring-Powell Fluid from an Isothermal Sphere with Thermal Slip
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Authors
Affiliations
1 Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle – 517325, Andhra Pradesh, IN
2 Department of Mathematics, JNTU College of Engineering, Pulivendula – 516390, Andhra Pradesh, IN
1 Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle – 517325, Andhra Pradesh, IN
2 Department of Mathematics, JNTU College of Engineering, Pulivendula – 516390, Andhra Pradesh, IN
Source
Indian Journal of Science and Technology, Vol 10, No 17 (2017), Pagination:Abstract
The study of magneto hydrodynamic flow and heat transfer analysis in a non-Newtonian Eyring-Powell fluid fluid past an isothermal sphere with thermal slip. The radiation effects also considered in the energy equation. The governing momentum and energy equations are transformed to nonlinear ordinary differential equations by the use of a nonsimilarity transformation. These equations are solved by numerically subject to physical appropriate boundary conditions using the second order accurate implicit finite difference Keller-box technique. The effects of magnetic field, Eyring-Powell fluid parameter, Prandtl number, Slip parameter on velocity and temperature profiles as well as on the local skin friction coefficient and the local Nusselt number are calculated.Keywords
Difference Scheme, Eyring-Powell Fluid, Isothermal Sphere, Kellerbox Finite, Magneto Hydrodynamic.Full Text
- Heat Transfer Analysis of MHD Non-Newtonian Fluid over A Horizontal Circular Cylinder with Biot Number Effect
Abstract Views :141 |
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Authors
Affiliations
1 Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle-517325, A.P., IN
2 Department of Mathematics, JNTUA College of Engineering Pulivendula, Pulivendula-516390, A.P., IN
1 Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle-517325, A.P., IN
2 Department of Mathematics, JNTUA College of Engineering Pulivendula, Pulivendula-516390, A.P., IN
Source
Research Journal of Science and Technology, Vol 9, No 3 (2017), Pagination: 395-399Abstract
In the proposed work deals with the heat transfer analysis of Magneto hydrodynamic third grade fluid flow over a horizontal circular cylinder with Biot-number effect. Using the Non – Similarity transformations, the governing partial differential equations are converted into ordinary differential equations and these equations are solved numerically by using an implicit finite difference Keller - Box method. The influence of emerging non-dimensional parameters, namely the third grade fluid parameter, the material fluid parameters, Magneto hydrodynamic parameter, Biot number effect and the Prandtl number, on velocities and temperatures are evaluated in the boundary layer regime in detail. Increasing the third grade fluid parameter and material fluid parameters are found to increase the velocity and opposite behavior is observed on temperature profiles. Increasing the Magneto hydrodynamic parameter is found to decreases the velocity and increases the temperature. An increasing the Biot number whereas the velocity and temperature are enhances and increasing the Prandtl number, the velocity and temperature profiles are in depresses .The study is relevant to chemical materials processing applications.Keywords
Third Grade Fluid, Horizontal Circular Cylinder, Material Fluid Parameters, Magneto Hydro Dynamic and Biot Number.References
- Jouyandeh M, Moheseni MM, Rashidi F. Forced Convection Heat transfer of Giesekus viscoelastic fluid in concentric annulus with both Cylinders rotation. Journal of Petroleum Science and Technology. 2014; 4(2): 1-9.
- Anwar Beg O, Makinde OD, Viscoelastic flow and Species and Heat transfer in a Darcian high-permeability Channel. Journal of Petroleum Science and Engineering. 2011; 76: 93-99.
- Subba Rao A, Ramachandra Prasad V, Nagendra N, Bhaskar N Reddy and Anwar Beg O. Non-Similar Computational Solution for Boundary Layer Flows of Non-Newtonian Fluid from an Inclined Plate with Thermal Slip. Journal of Applied Fluid Mechanics. 2016; 9(2): 795-807.
- Abelman S, Momoniat E, Hayat T. Couette flow of a third grade fluid with rotating frame and slip condition. Nonlinear Analysis: Real World Applications. 2009; 10(2): 3329-3334.
- Hayat T, Shafiq A, Alsaedi A. Effect of Joule heating and thermal radiation in flow ofthird grade fluid over radiative surface. Plos Online. 2014; 9:1-12.
- Amanulla CH, Nagendra N, SuryanarayanaReddy M. Numerical Study of Thermal and Momentum Slip Effects on MHD Williamson Nanofluid from an Isothermal Sphere. Journal of Nanofluids. 2017; 6(6): 1111-1126.
- Madhavi K, Nagendra N, Raju GSS, Ramachandra Prasad V. Non-Similarity Transformations of MHD flow of Third Grade Fluid over a Horizontal Circular Cylinder in the Presence of Radiation and Suction. International Journal of Innovative Research in Science, Engineering and Technology. 2017; 6(13): 73-79.
- Hayat T, Shafiq A, Alsaedi A, Asghar S. Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity. AIP Advances. 2015; 5: 1-15.
- Hayat T, Mustafa M, Asghar S. Unsteady flow with heat and mass transfer of a third grade fluid over a stretching surface in the presence of chemical reaction. Non-linear Analysis. Real world Applications. 2010; 11: 3186 – 3197.
- Yurusoy M, Pakdemirli M. Approximate analytical solution for the flow of a third – grade fluid in a pipe. International Journal of Non-Linear Mechanics.2002; 37: 87-195.
- Massoudi M, Christie I. Effects of variable viscosity and viscous dissipation on the flow of third grade fluid in a pipe. International Journal of Non-Linear Mechanics. 1995; 30: 687-699.
- Anwar Beg O, Takhar HS, Bhargava R, Rawat S and V R Prasad. Numerical study of heat transfer of third grade viscoelastic fluid in non-Darcy porous media with thermo physical effects. phys. Scr. 2008; 77: 1-11.
- Oluwole Daniel Makinde. Hermite-pade approximation approach to thermal criticality for a reactive third-grade liquid in a channel with isothermal walls. International Communication in Heat and mass Transfer. 2008; 34: 870-877.
- Oluwole Daniel Makinde. Thermal stability of a reactive third grade fluid in a cylindrical pipe: An exploitation of Hermite-pade approximation technique. Applied Mathematics and Computation. 2007; 189: 690-697.
- BikashSahoo. Hiemenz flow and heat transfer of a third grade fluid. Communications in Nonlinear Science and Simulation. 2009; 14: 811-826.
- Hayat T, AnumShafiq, Alsaedi A, MHD axisymmetric flow of third grade fluid by stretching cylinder. Alexandria Engineering Journal. 2015; 54:205 – 212.
- Zeeshan Khan, Rehan Ali Shah, Mohammad Altaf, Saeed Islam and Aurangze Khan. Effect of thermal radiation and MHD on nonNewtonian third grade fluid in wire coating analysis with temperature dependent viscosity. Alexandria Engineering Journal. 2017; (InPress):1-12.
- Amanulla CH, Nagendra N, Suryanarayana Reddy M. Mhd flow and heat transfer in a williamson fluid from a vertical permeable cone with thermal and momentum slip effects: a mathematical study. Frontiers in Heat and Mass Transfer. 2017; 8(40): 1-11.
- Amanulla CH, Nagendra N, Subba Rao A, Anwar Bég O and Kadir A. Thermal radiation and Biot number effects on hydromagnetic convection boundary layer flow of a Williamson non-Newtonian fluid. Heat Transfer-Asian Research. Accepted on 5 June 2017:1-20.
- Keller HB. A new difference method for parabolic problems, J. Bramble (Editor), Numerical Methods for Partial Differential Equations, Academic Press New York. 1970.
- Cebeci T, Bradshaw P. Physical and Computational Aspects of Convective Heat Transfer, Springer, New York. 1984.
- Numerical Exploration of Non-Newtonian Polymeric Boundary Layer Flow Over an Isothermal Sphere
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Authors
Affiliations
1 Department of Mathematics, Sreenivasa Institute of Technology and Management Studies, Chittoor-517001, IN
2 Department of Mathematics, JNTUA College of Engineering, Pulivendula-516390, Andhra Pradesh, IN
1 Department of Mathematics, Sreenivasa Institute of Technology and Management Studies, Chittoor-517001, IN
2 Department of Mathematics, JNTUA College of Engineering, Pulivendula-516390, Andhra Pradesh, IN
Source
Research Journal of Science and Technology, Vol 9, No 4 (2017), Pagination: 525-531Abstract
This paper examines the nonlinear steady state boundary layer flow and heat transfer of an incompressible Jeffery non-Newtonian fluid from an isothermal sphere. The governing partial differential equations of the flow field are converted to a system of non-linear coupled non-similarity ordinary differential equations. Finite difference technique followed by Keller Box method, the system is solved numerically. The numerical code is validated with previous studies. The effects of the various physical parameters countered in the flow field on the velocity, temperature as well as the skin friction coefficient and the rate of heat transfer near the wall are computed and illustrated graphically. It is found that increasing suction decelerates the flow and also cools the boundary layer i.e. reduces temperatures. With increasing tangential coordinate the flow is also decelerated whereas the temperatures are enhanced. The simulation is relevant to polymer coating thermal processing. Polymeric enrobing flows are important in industrial manufacturing technology and process systems. Such flows are non-Newtonian. Motivated by such applications, we did the present problem.Keywords
Polymers, Heat Transfer, Skin Friction, Deborah Number, Suction.References
- S. Livescu, “Mathematical modeling of thixotropic drilling mud and crude oil flow in wells and pipelines—A review,” J. Petroleum Science and Engineering, vol. 98/99, pp.174–184, 2012.http://dx.doi.org/10.1016/j.petrol.2012.04.026.
- J. Hron, J. Málek, P. Pustějovská, and K. R. Rajagopal, “On the modeling of the synovial fluid,” Advances in Tribology, vol. 2010, 2010. http://dx.doi.org/10.1155/2010/104957.
- F. Loix, L. Orgéas, C. Geindreau, P. Badel, P. Boisse, and J.F. Bloch, “Flow of non-Newtonian liquid polymers through deformed composites reinforcements,” Composites Science and Technology, vol. 69, pp. 612–619, 2009.http://dx.doi.org/10.1016/j.compscitech.2008.12.007
- V. Kechichian, G. P. Crivellari, J. A. W. Gut, and C. C. Tadini, “Modeling of continuous thermal processing of a non-Newtonian liquid food under diffusive laminar flow in a tubular system,” Int. J. Heat and Mass Transfer, vol. 55, pp.5783–5792,2012. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2012.05.075
- K. Das, N. Acharya, P.K. Kundu, “Radiative flow of MHD Jeffrey fluid past a stretching sheet with surface slip and melting heat transfer,” Alexandria Engineering Journal, vol. 54, pp. 815–821, 2015.http://dx.doi.org/10.1016/j.aej.2015.06.008.
- R. Ellahi, A. Riaz, and S. Nadeem, “Series Solutions of Magnetohydrodynamic Peristaltic Flow of a Jeffrey Fluid in Eccentric Cylinders”, J. Appl. Math. Inf. Sci., vol. 7, pp. 1441-1449, 2013.
- G. S. Seth, S. Sarkar, and A. J. Chamkha, “Unsteady Hydromagnetic Flow past a Moving Vertical Plate with Convective Surface Boundary Condition,”Journal of Applied Fluid Mechanics, vol. 9(4), pp. 1877-1886, 2016.
- M.S. Abel, and M. M. Nandeppanavar, “Heat transfer in MHD viscoelastic boundary layer flow over a stretching sheet with non-uniform heat source/sink,” Commun. Nonlinear Sci. Numer. Simul., vol. 14(5), pp. 2120–2131, 2009.
- T. Hayat, B. Ashraf, S. A. Shehzad, A. Alsaedi, and N. Bayomi,"Three-dimensional mixed convection flow of viscoelastic nanofluid over an exponentially stretching surface," International Journal of Numerical Methods for Heat & Fluid Flow, vol. 25(2), pp. 333-357, 2015. http://dx.doi.org/10.1108/HFF-01-2014-0024.
- C.H. Amanulla, N. Nagendra, M. Suryanarayana Reddy, A. SubbaRao, and M. Sudhakar Reddy, “Heat Transfer in a Non-Newtonian Jeffery Fluid from an Inclined Vertical Plate,” Indian Journal of Science and Technology,vol. 10(25), 2017.http://dx.doi.org/10.17485/ijst/2017/v10i25/104644.
- C.H. Amanulla, N. Nagendra, and M. Suryanarayana Reddy, “Multiple Slip Effects on MHD and Heat Transfer in a Jeffery Fluid over an Inclined Vertical Plate,” International Journal of Pure and Applied Mathematics, vol. 113(7), pp. 137-145, 2017.
- S. Nadeem, R. Mehmood, N.S. Akbar, “Oblique stagnation flow of Jeffery fluid over a stretching convective surface: Optimal Solution,” Int. J. Num. Meth. Heat & Fluid Flow, vol. 25(3), pp.454-471, 2015.
- C.H. Amanulla, N. Nagendra, and M. Suryanarayana Reddy, “Numerical Study of Thermal and Momentum Slip Effects on MHD Williamson Nanofluid from an Isothermal Sphere,” Journal of Nanofluids, vol. 6(6), pp. 1111–1126, 2017.https://doi.org/10.1166/jon.2017.1405.
- C.H. Amanulla, N. Nagendra, M. Suryanarayana Reddy, A. SubbaRao, and O. Anwar Bég, “Mathematical Study of Non-Newtonian Nanofluid Transport Phenomena from an Isothermal Sphere,” Frontiers in Heat and Mass Transfer, vol. 8, 29,2017. http://dx.doi.org/10.5098/hmt.8.29.
- C.H. Amanulla, N. Nagendra, and M. Suryanarayana Reddy, “MHD Flow and Heat Transfer in a Williamson Fluid from a Vertical Permeable Cone with Thermal and Momentum Slip Effects: A Mathematical Study,” Frontiers in Heat and Mass Transfer, vol. 8, 40, 2017. http://dx.doi.org/10.5098/hmt.8.40.
- SubbaRao, C.H. Amanulla, N. Nagendra, M. Suryanarayana Reddy, and O. A. Bég, “Computational Analysis of Non-Newtonian Boundary Layer Flow of Nanofluid Past a Vertical Plate with Partial Slip,” Modelling, Measurement and Control B, vol. 86(1), pp. 271-295, 2017.
- SubbaRao, C. H. Amanulla, N. Nagendra, O.A. Bég, and A. Kadir, “Hydromagnetic flow and Heat Transfer in a Williamson Non-Newtonian fluid from a Horizontal Circular Cylinder with Newtonian Heating,” Int. J. Appl. Comput. Math., pp.1-21,2017. http://dx.doi.org/10.1007/s40819-017-0304-x.
- SubbaRao, C.H. Amanulla, N. Nagendra, M. Suryanarayana Reddy, and O. A. Bég, “Hydromagnetic Non-Newtonian Nanofluid Transport Phenomena Past an Isothermal Vertical Cone with Partial Slip: Aerospace Nanomaterial Enrobing Simulation,” Heat Transfer – Asian Research. 2017.http://dx.doi.org/10.1002/htj.21299.
- O. Anwar Bég, A. SubbaRao, C.H. Amanulla, N. Nagendra, M. Suryanarayana Reddy, and Kadir, A., 2018, “Numerical Study of Hydromagnetic Non-Newtonian Nanofluid Transport Phenomena from a Horizontal Cylinder with Thermal Slip: Aerospace Nanomaterial Enrobing Simulation,”Journal of Nanofluids, vol.7(1).https://doi.org/10.1166/jon.2018.1423.
- M.J. Huang, C.K. Chen, “Laminar free-convection from a sphere with blowing and suction,” J. Heat Mass Transfer, vol. 109,pp. 529–32, 1987.