# Heat and Mass Transfer Flow Past an Infinite Vertical Plate with Variable Thermal Conductivity

**Year of Publication:**2013

I J Uwanta and Murtala Sani. Article: Heat and Mass Transfer Flow Past an Infinite Vertical Plate with Variable Thermal Conductivity.

*International Journal of Applied Information Systems*6(1):16-24, September 2013. BibTeX@article{key:article, author = "I. J. Uwanta and Murtala Sani", title = "Article: Heat and Mass Transfer Flow Past an Infinite Vertical Plate with Variable Thermal Conductivity", journal = "International Journal of Applied Information Systems", year = 2013, volume = 6, number = 1, pages = "16-24", month = "September", note = "Published by Foundation of Computer Science, New York, USA" }

### Abstract

This investigation is undertaken to study the heat and mass transfer flow past an infinite vertical plate with variable thermal conductivity. The governing equations for the model are formulated with appropriate boundary conditions. The equations are simplified, non-dimensionalized and then solved numerically with the aid of MAPLE package. The flow phenomenon are characterized by the flow parameters such as Prandtl number (Pr), Schmidt number (Sc) , Eckert number (Ec), magnetic field (M), porosity (K), thermal Grashof number (Gr), mass Grashof number (Gc), radiation (N), suction ( ), thermal conductivity ( ), chemical reaction (Kr) and reaction order (n) which are studied for velocity field, temperature field and concentration distribution presented graphically.

### Reference

- Muthucumarswamy, R. and Senthil K. 2004. Heat and mass transfer effects on moving vertical plate in the presence of thermal radiation. Theoretical Applied Mechanics, 31, 35-46.
- Gupta, P. S. and Gupta, A. S. 1977. Heat and mass transfer on a stretching sheet with suction. Canadian Journal of Chemical Engineering, 55, 744–746.
- Sattar, M. A. 1994. Free convection and mass transfer flow through a porous medium past an infinite vertical plate with time dependant temperature and concentration. International Journal of Pure and Applied Mathematics, 23, 759-766.
- Israel-Cookey, C. Ogulu, A. and Omubo-Pepple, V. B. 2003. Influence of viscous dissipation and radiation on unsteady MHD free-convection flow past an infinite heated vertical plate in a porous medium with time-dependent suction. International Journal of Heat and Mass Transfer. 46, 2305-2311.
- Illingworth, C. R. 1950. Unsteady laminar flow of gas near an infinite plate. Proceeding of Cambridge Philosopical Society, 44, 603–613.
- Gebhart, B. 1962. Effects of viscous dissipation in natural convection. Journal of Fluid Mechanics, 14, 225–232.
- Soundalgekar,V. M. , Pohanerkar, S. G. and Lahurikar, R. M. 1997. Transient free convection flow of an incompressible viscous dissipative fluid. Warme und Stoff, 32, 301–305.
- Das, U. N. , Deka, R. K. and Soundalgekar, V. M. 1996. Radiation effects on flow past an impulsively started infinite isothermal plate. Journal of Theoretical Mechanics, 1, 111-115.
- Riley, K. F. , Hobson, M. P. and Bence, S. J. 2006. Mathematical Methods for Physics and Engineers. Third Edition, Cambridge University Press, New York.
- Nield, D. A. and Bejan, A. 2006. Convection in Porous Media, 3rd Edition. Springer, New York.
- Kishan, N. and Srinivasmaripala, A. 2012. MHD mixed convection, heat and mass transfer on an isothermal vertical plate. Advances in Applied Science Research, 3(1), 60-74.
- Ramachandra, P. V. and Bhaskar, R. N. 2008. MHD free convection flow past a semi-infinite vertical permeable plate Indian Journal of Pure and Applied Physics, 46, 81-92.
- Chamkha, A. J. (1997). Solar radiation assisted natural convection in a uniform porous medium supported by a vertical flat plate. ASME, Journal of Heat Transfer, 119, 89-96.
- Sangapatnam, S. , Nandanoor, R. , and Vallampati, R. P. 2009. Radiation and mass transfer effects on MHD free convection flow past impulsively-started isothermal vertical plate with dissipation. Thermal Science, 13(2), 171-181.
- Yasar, O. and Moses, G. A. 1992. R-MHD: An Adaptive-grid radiation magnetohydrodynamic Computer code. Computer Physics Communications, 69(2-3), 439-458.
- Aboeldahab, E. M. and El-Din, A. G. 2005. Thermal radiation effects on MHD flow past a semi-infinite inclined plate in the presence of mass diffusion. Heat and Mass Transfer. 41(12), 1056-1065.
- Alagoa, K. D. Tay, G. and Abbey, T. M. 1998. Radiative and free convective effects of MHD flow through a porous medium between infinite parallel plates with time-dependent suction. Astrophysics and Space Science. 260(4), 455-468.
- Nield, D. A. and Bejan, A. 1999. Convection in Porous Media, 2nd Edition. Springer, New York.
- Bejan, A. and Kraus, A. D. 2003. Heat Transfer Handbook, Wiley, New York.
- Ingham, D. B. , Bejan, A. , Mamut, E. and Pop, I. 2004. Emerging Technologies and Techniques in Porous Media. Kluwer, Dordrecht.
- Suneetha, S. , Bhaskar, R. N. and Ramachandra, P. V. 2009. Radiation and mass transfer effects on MHD free convection flow past an impulsively started isothermal vertical plate with dissipation. Thermal Science, 13(2), 71–181.
- Muthucumaraswamy, R. and Meenakshisundaram, S. 2006. Theoretical study of chemical reaction effects on vertical oscillating plate with variable temperature. Theoretical Applied Mechanics, 33(3), 245-257.

### Keywords

Heat Transfer, Mass Transfer, Thermal Conductivity, Vertical Plate