Back
 OJFD  Vol.6 No.1 , March 2016
Heat and Mass Transfer in Visco-Elastic Fluid through Rotating Porous Channel with Hall Effect
Abstract: This paper examined the hydromagnetic boundary layer flow of viscoelastic fluid with heat and mass transfer in a vertical channel with rotation and Hall current. A constant suction and injection is applied to the plates. A strong magnetic field is applied in the direction normal to the plates. The entire system rotates with uniform angular velocity (Ω), about the axis perpendicular to the plates. The governing equations are solved by perturbation technique to obtain an analytical result for velocity, temperature, concentration distributions and results are presented graphically for various values of viscoelastic parameter (K2), Prandtl number (Pr), Schmidt number (Sc), radiation parameter (R), heat generation parameter (Qh) and Hall parameter (m).
Cite this paper: Gaur, P. and Jha, A. (2016) Heat and Mass Transfer in Visco-Elastic Fluid through Rotating Porous Channel with Hall Effect. Open Journal of Fluid Dynamics, 6, 11-29. doi: 10.4236/ojfd.2016.61002.
References

[1]   Cowling, T. (1957) Magnetohydrodynamics. Interscience Publications Inc., New York.

[2]   Soundalgekar, V.M. (1979) Hal and Ion-Slip Effects in MHD Coutte Flow with Heat Transfer. IEEE Transactions on Plasma Science, PS-7, 178-186.
http://dx.doi.org/10.1109/TPS.1979.4317226

[3]   Soundalgekar, V.M. and Uplekar, A.G. (1986) Hal Effects in MHD Coutte Flow with Heat Transfer. IEEE Transactions on Plasma Science, PS-7, 579-587.
http://dx.doi.org/10.1109/TPS.1986.4316600

[4]   Hossain, M.A. and Rashid, R.I.M.I. (1987) Hall Effect on Hydromagnetic Free Convection Flow along a Porous Flat Plate with Mass Transfer. Journal of the Physical Society of Japan, 56, 97-104.
http://dx.doi.org/10.1143/JPSJ.56.97

[5]   Attia, H.A. (1998) Hall Current Effects on Velocity and Temperature Fields of an Unsteady Hartmann Flow. Canadian Journal of Physics, 76, 73-78.
http://dx.doi.org/10.1139/cjp-76-9-739

[6]   Singh, K.D. and Garg, B.P. (2010) Radiative Heat Transfer in MHD Oscillatory Flow through Porous Medium Bounded by Two Vertical Porous Plates. Bulletin of Calcutta Mathematical Society, 102, 129-139.

[7]   Saha, L.K., Siddqia, S. and Hossain, M. A. (2011) Effect of Hall Current on MHD Natural Convection Flow from Vertical Permeable Flat Plate with Uniform Surface Heat Flux. Applied Mathematics and Mechanics, 32, 1127-1146.
http://dx.doi.org/10.1007/s10483-011-1487-9

[8]   Aboeldahab, E.M. and Elbarby, E.M.E. (2001) Hall Current Effect on Magnetohydrodynamic Free-Convection Flow Past a Semi-Infinite Vertical Plate with Mass Transfer. International Journal of Engineering Science, 39, 1641-1652.
http://dx.doi.org/10.1016/S0020-7225(01)00020-9

[9]   Abo-Eldahab, M. and ElAziz, M.A. (2005) Viscous Dissipation and Joule Heating Effects on MHD Free Convection from a Vertical Plate with Power-Law Variation in Surface Temperature in the Presence of Hall and Ion-Slip Currents. Apllied Mathematical Modeling, 29, 579-595.
http://dx.doi.org/10.1016/j.apm.2004.10.005

[10]   Cogley, A.C., Vinceti, W.C. and Gilles, S.E. (1968) Differential Approximation for Radiation Transfer in a Nongray Gas near Equilibrium. American Institute of Aeronautics and Astronautics Journal, 6, 551-555.
http://dx.doi.org/10.2514/3.4538

[11]   Mansour, M.A. (1990) Radiative and Free Convection Effects on the Oscillatory Flow past a Vertical Plate. Astrophysics and Space Science, 166, 269-275.
http://dx.doi.org/10.1007/BF01094898

[12]   Hossain, M.A. and Thakar, H.S. (1996) Radiation Effect on Mixed Convection along a Vertical Plate with Uniform Surface Temperature. Heat and Mass Transfer, 314, 243-248.
http://dx.doi.org/10.1007/BF02328616

[13]   Hossain, M.A., Alim, M.A. and Rees, S. (1999) The Effect of Radiation on Free Convection from a Porous Vertical Plate. International Journal of Heat and Mass Transfer, 42, 181-191.
http://dx.doi.org/10.1016/S0017-9310(98)00097-0

[14]   Seddek, M.A. (2002) Effect of Radiation and Variable Viscosity on a MHD Free Convection Flow past a Semi Infinite Flat Plate with an Aligned Magnetic Field in the Case of Unsteady Flow. International Journal of Heat and Mass Transfer, 45, 931-935.
http://dx.doi.org/10.1016/S0017-9310(01)00189-2

[15]   Muthucumarswamy, R. and Senthil, G.K. (2004) Studied the Effect of Heat and Mass Transfer on Moving Vertical Plate in the Presence of Thermal Radiation. Journal of Theoretical and Applied Mechanics, 31, 35-46.
http://dx.doi.org/10.2298/TAM0401035M

[16]   Pal, D. (2009) Heat and Mass Transfer in Stagnation-Point Flow towards a Stretching Surface in the Presence of Buoyancy Force and Thermal Radiation. Meccanica, 44, 145-158.
http://dx.doi.org/10.1007/s11012-008-9155-1

[17]   Aydin, A. and Kaya, A. (2008) Radiation Effect on MHD Mixed Convection Flow about a Permeable Vertical Plate. Heat and Mass Transfer, 45, 239-246.
http://dx.doi.org/10.1007/s00231-008-0428-y

[18]   Mohamed, R.A. (2009) Double-Diffusive Convection Radiation Interaction on Unsteady MHD Flow over a Vertical Moving Porous Plate with Heat Generation and Soret Effects. Applied Mathematical Sciences, 3, 629-651.

[19]   Chauhan, D.S. and Rastog, P. (2010) Radiation Effects on Natural Convection MHD Flow in a Rotating Vertical Porous Channel Partially Filled with a Porous Medium. Applied Mathematical Sciences, 4, 643-655.

[20]   Ibrahim, S.Y. and Makinde, O.D. (2011) Radiation Effect on Chemically Reacting MHD Boundary Layer Flow of Heat and Mass Transfer through a Porous Vertical Flat Plate. International Journal of Physical Sciences, 6, 1508-1516.

[21]   Pal, D. and Mondal, H. (2011) The Influence of Thermal Radiation on Hydromagnetic Darcy-Forchheimer Mixed Covection Flow past a Stretching Sheet Embedded in a Porous Medium. Mecccanica, 46, 739-753.
http://dx.doi.org/10.1007/s11012-010-9334-8

[22]   Kandasamy, R., Periasamy, K. and Sivagnana Prabhu, K.K. (2005) Chemical Reaction, Heat and Mass Transfer on MHD Flow over a Vertical Stretching Surface with Heat Source and Thermal Stratification Effects. International Journal of Heat and Mass Transfer, 48, 4457-4561.
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2005.05.006

[23]   Muthucumaraswamy, R. and Janakiraman, B. (2008) Mass Transfer Effects on Isothermal Vertical Oscillating Plate in the Presence of Chemical Reaction. International Journal of Applied Mathematics and Mechanics, 4, 66-74.

[24]   Sharma, P.R. and Singh, K.D. (2009) Unsteady MHD Free Convective Flow and Heat Transfer along a Vertical Porous Plate with Variable Suction and Internal Heat Generation. International Journal of Applied Mathematics and Mechanics, 4, 1-8.

[25]   Sudheer Babu, M. and Satya Narayan, P.V. (2009) Effects of the Chemical Reaction and Radiation Absorption on Free Convection Flow through Porous Medium with Variable Suction in the Presence of Uniform Magnetic Field. Journal of Heat and Mass Transfer, 3, 219-234.

[26]   Makinde, D. and Chinyoka, T. (2011) Numerical Study of Unsteady Hydromagnetic Generalized Coutte Flow of a Reactive Third-Grade Fluid with Asymmetric Convective Cooling. Computers and Mathematics with Applications, 61, 1167-1179.
http://dx.doi.org/10.1016/j.camwa.2010.12.066

[27]   Pal, D. and Talukdar, B. (2011) Combined Effects of Joule Heating and Chemical Reaction on Unsteady Magnetohydrodynamic Mixed Convection of a Viscous Dissipating Fluid over a Vertical Plate in Porous Media with Thermal Radiation. Mathematical and Computer Modeling, 54, 3016-3036.
http://dx.doi.org/10.1016/j.mcm.2011.07.030

[28]   Aldoss, T.K., Nimar, A.L., Jarrah, M.A. and Shaer, A.L. (1995) Magnetohydrodynamic Mixed Convection from a Vertical Plate Embedded in a Porous Medium. Numerical Heat Transfer, 28, 635-642.
http://dx.doi.org/10.1080/10407789508913766

[29]   Rajgopal, K., Veena, P.H. and Parvin, V.K. (2006) Oscillatory Motion of an Electrically Conducting Viscoelastic Fluid over a Stretching Sheet in Saturated Porous Medium with Suction/Blowing. Mathematical Problems in Engineering, 1, 1-14.
http://dx.doi.org/10.1155/MPE/2006/60560

[30]   Attia, H.A. (2004) Unsteady MHD Coutte Flow of a Viscoelastic Fluid Considering the Hall Effect. Canadian Journal of Physics, 82, 127-135.
http://dx.doi.org/10.1139/p03-117

[31]   Chaudhary, R.C. and Jha, A.K. (2012) Heat and Mass Transfer in Elastic-Viscous Fluid past an Impulsively Started Infinite Vertical Plate with Hall Effect. Latin American Applied Research, 38, 17-26.

[32]   Singh, K.D. (2012) Viscoelastic Mixed Convection MHD Oscillatory Flow through a Porous Medium Filled in a Vertical Channel. International Journal of Physics and Mathematical Sciences, 3, 194-205.

[33]   Walters, K. (1962) The Solution of Flow Problems in the Case of Materials with Memories. Journal de Mécanique, 1, 474-478.

[34]   Meyer, R.C. (1958) On Reducing Aerodynamics Heat Transfer Rates by Magnetohydrodynamic Techniques. Journal of the Aerospace Science, 25, 561-566.
http://dx.doi.org/10.2514/8.7781

 
 
Top