Finite difference analysis of transient free convective MHD heat transfer flow through porous medium with heat generation

Authors

  • Raju D Professor of Mathematics Vidya Jyothi Institute of Technology (Autonomous), C.B. Post, Hyderabad

Keywords:

magnetic Reynolds, transient velocity, skin friction, Porous Medium

Abstract

The present paper is concerned with analytical solution of one-dimensional unsteady laminar boundary layer MHD flow of a viscous incompressible fluid past an exponentially accelerated infinite vertical plate in presence of transverse magnetic field with heat source through porous medium. The vertical plate and the medium of flow are considered to be porous. The fluid is assumed to be optically thin and the magnetic Reynolds number is considered small enough to neglect the induced hydro magnetic effects. The governing boundary layer equations are first converted to dimensionless form and then solved by finite difference technique. The solution for transient velocity, temperature, skin friction and Nusselt number are illustrated and are presented in graphs for various sets of physical parametric values.

References

. R C Chaudhary and A Jain (2009): MHD heat and mass diffusion flow by natural convection past a surface embedded in a porous medium, Theoretical and Applied Mechanics, Vol. 36 (1), pp. 1-27

. V Rajesh, M Mallesh and O A B’eg (2015): Transient MHD free convection flow and heat transfer of nanofluid past an impulsively started vertical porous plate in the presence of viscous dissipation, Procedia Materials Science, Vol. 10, pp. 80-89

. S M Ibrahim (2014): Effects of chemical reaction on dissipative radiative MHD flow through a porous medium over a non-isothermal stretching sheet, Journal of Industrial Mathematics, Vol. 2014, Article ID 243148, 10 pages

. D Ch Kesavaiah, P V Satyanarayana and S Venkataramana (2011): Effects of the chemical reaction and radiation absorption on an unsteady MHD convective heat and mass transfer flow past a semi-infinite vertical permeable moving plate embedded in a porous medium with heat source and suction, Int. J. of Appl. Math and Mech. Vol. 7 (1), pp. 52-69

. Damala Ch Kesavaiah, P V Satyanarayana and A Sudhakaraiah: Effects of radiation and free convection currents on unsteady Couette flow between two vertical parallel plates with constant heat flux and heat source through porous medium, International Journal of Engineering Research, 2013, Vol. 2 (2), pp. 113-118

. M Bhavana, D Chenna Kesavaiah and A Sudhakaraiah (2013): The Soret effect on free convective unsteady MHD flow over a vertical

plate with heat source, International Journal of Innovative Research in Science, Engineering and Technology, Vol. 2 (5), pp. 1617-1628

. D Chenna Kesavaiah and R S Jahagirdar (2018): Radiation absorption and chemical reaction effects on MHD flow through porous medium past an exponentially accelerated inclined plate, International Journal for Research in Applied Science & Engineering Technology, Vol. 6 (VI), pp.1370- 1381

. Srinathuni Lavanya, D Chenna Kesavaiah: Magnetic field and Radiation effects on MHD Free convection heat and mass transfer flow through a porous medium with chemical reaction, Int. Journal of Applied Sciences and Engineering Research, Vol. 3, (4), 2014, pp. 850-868

. Srinathuni Lavanya and D Chenna Kesavaiah (2017): Heat transfer to MHD free convection flow of a viscoelastic dusty gas through a porous medium with chemical reaction, International Journal of Pure and Applied Researches, Vol. 3 (1), pp. 43 - 56

. Ashish Paul (2017): Transient free convective MHD flow past an exponentially accelerated vertical porous plate with variable temperature through a porous medium, Hindawi, International Journal of Engineering Mathematics, Article ID 2981071, pp. 1-9

. J A Whitehead (1972): Observations of rapid means flow produced mercury by a moving heater, Geo., Phy., Fluid Dynamics, Vol.3, pp.

-180.

. C Sulochana, R Arulmozhi rani and D R V Prasad Roam (2003): Heat and mass transfer flow of a viscous fluid through a porous medium in a wavy channel with traveling thermal waves, Int. J. Acta Ciencia Inida, Vol. XXIX M, No:4, (2003), p. 837

Downloads

Published

2024-02-26

How to Cite

RAJU, D. (2024). Finite difference analysis of transient free convective MHD heat transfer flow through porous medium with heat generation. COMPUSOFT: An International Journal of Advanced Computer Technology, 7(09), 2814–2819. Retrieved from https://ijact.in/index.php/j/article/view/443

Issue

Section

Original Research Article

Similar Articles

<< < 1 2 3 > >> 

You may also start an advanced similarity search for this article.