Keywords:-

Keywords: MHD, Unsteady flow, Mass transfer, Radiation, Immiscible fluid.

Article Content:-

Abstract

The unsteady MHD free convective two immiscible fluids flowing in a horizontal channel with heat and mass transfer, with the assumptions that the upper channel and lower channel are porous and non-porous respectively have been studied. The governing equations of the flow were transformed to ordinary differential equations by a regular perturbation method, and the expression for the velocity, temperature and concentration for each fluid flow were obtained. The effects of various governing parameters like Grashof numbers for heat and mass transfer, Prandtl number, Viscosity ratio, conductivity ratio, Radiative parameter, Schmidt number etc. on the velocity, temperature and concentration fields have been  presented graphically and discussed quantitatively. Also, the coefficient of skin friction, Nusselt number and Sherwood number have been calculated and tabulated.

References:-

References

Chamkha, A.J. (2000), Non-similar Solutions for Heat and Mass Transfer by Hydromagnetic

Mixed Convection Flow Over a Plate in Porous Media with surface Suction

or Injection. International Journal of Numerical Methods for Heat & Fluid Flow.

[Online], Vol. 10 (2) (2000), pp. 142-162.

Chamkha, A.J. (2000), Flow of Two-Immiscible Fluids in Porous and Non-porous

Channels. Journal of Fluids Engineering. [Online], Vol. 122 (March, 2000), pp. 117-

Chamkha, A.J. and Khaled, A.R.A. (2000), Hydromagnetic simultaneous heat and

mass transfer by mixed convection from a vertical plate embedded in a stratified

porous medium with thermal dispersion effects. Heat and Mass Transfer. [Online],

Vol. 36 (2000), pp. 63-70.

Chamkha, A.J., Umavathi, J.C. and Mateen, A. (2004), Oscillatory Flow and Heat

Transfer in Two Immiscible Fluids. International Journal of Fluid Mechanics

Research. [Online], Vol. 31 (1) (2004), pp. 13-36.

Chamkha, A.J. (2004), Unsteady MHD Convective Heat and mass Transfer Past a

semi-infinite Vertical Permeable Moving Plate with Heat Absorption. International

Journal of Engineering Science. [Online], Vol. 42 (2004), pp. 217-230. 6. Daniel, S. and Daniel, S.Y. (2013), Convective Flow of Two Immiscible Fluids and

Heat Transfer With Porous Along an Inclined Channel with Pressure Gradient.

International Journal of Engineering and Science. [Online], Vol. 2 (4) (February,

, pp. 12-18.

Daniel, S., Tella, Y. and Joseph, K.M. (2014), Slip Effect of MHD Oscillatory Flow of

Fluid in a Porous Medium with Heat and Mass Transfer and Chemical Reaction. Asian

Journal of Science and Technology. [Online], Vol. 5 (3) (April, 2014), pp. 241-254.

Daniel, S. (2014), Effect of Heat of Transfer on Unsteady MHD Couette Flow

Between Two Parallel Porous Plates in an Inclined Magnetic Field. International

Journal of Mathematics and Statistics Invention (IJMSI). [Online], Vol. 2 (6) (June,

, pp. 66-73.

Joseph, K.M., Onwubuoya, C., Daniel, K.S. and Nonum, E.O. (2013), MHD Forced

Convection in a Horizontal Double Passage with Uniform Wall Heat Flux. International Journal of Mathematics and Statistics Studies. [Online], Vol. 1 (2) (June,

, pp.30-40

Joseph, K.M., Daniel, S. and Joseph, G.M. (2014), Unsteady MHD Couette Flow

Between Two Infinite Parallel Porous Plates in an Inclined Magnetic Field with Heat

Transfer. International Journal of Mathematics and Statistics Invention (IJMSI).

[Online], Vol. 2 (3) (March, 2014), pp. 103-110.

Kumar, N. and Jain, T. (2013), Influence of Mass Transfer and Thermal Radiation on

Unsteady Free Convective Flow Through Porous Media Sandwiched Between Viscous

Fluids. International Journal of Energy and Technology. [Online], Vol. 5 (4) (2013),

pp. 1-15.

Mateen, A. (2013), Magnetohydrodynamic Flow and heat Transfer of two Immiscible

Fluids Through a Horizontal Channel. International Journal of Current Engineering

and Technology. [Online], Vol. 3 (5) (December, 2013), pp. 1952-1956.

Mateen, A. (2014), Transient Magnetohydrodynamic Flow of Two Immiscible Fluids

Through a Horizontal Channel. International Journal of Engineering Research.

[Online], Vol. 3 (1) (January, 2014), pp. 13-17. 14. Nandkeolyar, R., Das, M. and Sibanda, P. (2013), Exact Solutions of Unsteady MHD

Free Convection in a Heat Absorbing Fluid Flow Past a Flat Plate with Ramped Wall

Temperature. Boundary Value Problems. [Online], (2013), pp. 1-16.

Raju, T.L. and Nagavalli, M. (2013), Unsteady Two-Layered Fluid Flow and Heat

Transfer of Conducting Fluids in a Channel Between Parallel Porous Plates Under

Transverse Magnetic Field. International Journal of Applied Mechanics and

Engineering. [Online], Vol. 18 (3) (2013), pp. 699-726.

Seethamahalakshmi, G.V., Reddy, R. and Prasad, B.D.C.N. (2011), Unsteady MHD

Free Convection Flow and Mass Transfer Near a Moving Vertical Plate in the

Presence of Thermal Radiation. Advances in Applied Science Research. [Online], Vol.

(6) (2011), pp. 261-269.

Sivaraj, R., Kumar, B.R. and Prakash, J. (2012), MHD Mixed Convective Flow of

Viscoelastic and Viscous Fluids in a Vertical Porous Channel. Applications and

Applied Mathematics: An International Journal. [Online], Vol. 7 (1) (June, 2012), pp.

-116.

Umavathi, J.C., Chamkha, A.J., Mateen, A. and Al-Mudhaf, A. (2005), Unsteady Two

Fluid Flow and Heat Transfer in a Horizontal Channel. Heat Mass Transfer. [Online],

Vol. 42 (2005), pp. 81-90. 19. Umavathi, J.C., Chamkha, A.J., Mateen, A. and Kumar, J.P. (2008), Unsteady

Magnetohydrodynamic Two Fluid Flow and Heat Transfer in a Horizontal Channel.

Heat and Technology. [Online], Vol. 26 (2) (2008), pp. 121-133.

Umavathi, J.C., Liu, I.C., Kumar, J.P. and Meera, S. (2010), Unsteady Flow and Heat

Transfer of Porous Media Sandwiched Between Viscous Fluids. Applied Mathematics

and Mechanics. [Online], Vol. 32 (12) (2010), pp. 1497-1516.

Downloads

Citation Tools

How to Cite
K.M, J., A., P., P.E, A., & S, U. (2015). The Unsteady MHD Free Convective Two Immiscible Fluid Flows in a Horizontal Channel with Heat and Mass Transfer. International Journal Of Mathematics And Computer Research, 3(05), 954-972. Retrieved from http://ijmcr.in/index.php/ijmcr/article/view/99