# Unsteady MHD Casson fluid flow past a semi-infinite vertical plate with thermal diffusion

## Keywords:

Unsteady flow, Casson fluid, MHD, Radiation, Soret effect.## Abstract

The process design engineers are concerned with efficient heat and mass transfer, in many engineering processes such as paper manufacturing, metal and polymer extrusion etc. Also, many industrial fluids are non-Newtonian. So, an attempt is made to discuss the unsteady MHD flow of a Casson fluid past a semi infinite vertical plate with thermal diffusion, radiation and heat absorption effects. Slip boundary constraints are also considered for this investigation. The governing partial differential equations are reduced into non-dimensional ordinary differential equations and solved analytically using perturbation technique. The effects of various non dimensional governing parameters on velocity, temperature and concentration fields along with the friction factor, local Nusselt and Sherwood numbers are discussed in detail and presented through graphs and tables. Moreover, it is seen that higher values of the Soret number enhance the velocity and concentration profiles. It is also observed that the Schmidt number have tendency to enhance the mass transfer rate and radiation parameter have tendency to increase the thermal boundary layer thickness. It is also observed that our results are in well agreement with earlier results.## References

K. N. Mehta, and K. N. Rao, “Buoyancy-induced flow of non-Newtonian fluids in a porous medium past a vertical plate with nonuniform surface heat flux”, Intl. J. Engineering Sciences, Vol. 32, No. 2, pp.297-302, (1994).

S. J. Liao, “On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet”, J. Applied Mathematics and Mechanics, Vol. 488, pp.189-212, (2003).

A. Hussanan, M. Z. Salleh, R. M. Tahar, and I. Khan, “Unsteady boundarylayer flow and heat transfer of a Casson fluid past an oscillating vertical plate with newtonian heating”, Plos One, Vol. 9, No. 10, e108763, (2014).

A. Khalid, I. Khan, A. Khan, and S. Shafie, “Unsteady MHD free convection flow of Casson fluid past over an oscillating vertical plate embedded in a porous medium”, Engineering Science and Technology, an Intl. J., Vol. 18, pp.309-317, (2015).

C. S. K. Raju, N. Sandeep, V. Sugunamma, M. J. Babu, and J. V. Ramana Reddy, “Heat and mass transfer in magnetohydrodynamic Casson fluid flow over an exponentially permeable stretching surface”, Engineering Science and Technology, an Intl. J., Vol. 19, pp.45-62, (2016).

S. Kamiyama, and K. Koike, “Hydrodynamics of magnetic fluids”, Brazilian J. Phys., Vol. 25, No. 2, pp.83-100, (1995).

H. A. Attia, “Unsteady MHD flow and heat transfer of dusty fluid between parallel plates with variable physical properties”, Applied Mathematical Modelling, Vol. 26, No. 9, pp.863-875, (2002).

K. A. Helmy, “MHD unsteady free convection flow past a vertical porous plate”, J. Applied Mathematics and Mechanics, Vol. 78, No. 4, pp.255-270, (1998).

J. V. R. Reddy, V. Sugunamma, P. M. Krishna, and N. Sandeep, “Aligned magnetic field, radiation and chemical reaction effects on unsteady dusty viscous flow with heat generation/ absorption”, Chemical and Process Engineering Research, Vol. 27, pp.37-53, (2014).

J. V. R. Reddy, V. Sugunamma, and N. Sandeep, “Effect of aligned magnetic field on Casson fluid flow past a vertical oscillating plate in porous medium”, J. Advanced Physics, Vol. 5, No. 4, pp.295-301, (2016).

B. Shanker, B. P. Reddy, and J. Anand Rao, “Radiation and mass transfer effects on unsteady MHD free convective fluid flow embedded in a porous medium with heat generation/absorption”, Indian J. Pure and Applied Physics, Vol. 26, No. 9, pp.863-875, (2002).

O. A. Beg, J. Zueco, S. K. Ghosh, and A. Heidari, “Unsteady magnetohydrodynamic heat transfer in a semi infinite porous medium with thermal radiation flux: Analytical and numerical study”, Advances in Numerical Analysis, Vol. 2011, Article ID: 304124, (2011).

N. Sandeep, A. V. B. Reddy, and V. Sugunamma, “Effect of radiation and chemical reaction on Transient MHD free convective flow over a vertical plate through porous media”, Chemical and Process Engineering Research, Vol. 2, pp.1-9, (2012).

T. Hayat, S. A. Shehzad, and A. Alsaedi, “Soret and dofour effects on magnetohydrodynamic (MHD) flow of Casson fluid”, Applied Mathematics and Mechanics (English Edition), Vol. 33, No. 10, pp.1301-1312, (2012).

R. A. Mohamed, “Double diffusive convection radiation interaction on unsteady MHD flow over a vertical moving porous plate with heat generation and Soret effects”, Applied Mathematical Sciences, Vol. 3, No. 13, pp.629-651, (2009).

A. Jimoh, A. S. Idowu, and E. O. Titiloye, “Influence of Soret on unsteady MHD of kuvshinshiki fluid flow with heat and mass transfer past a vertical porous platewith variable suction”, Intl. J. on Recent and Innovation Trends in Computing and Communication , Vol. 2, No. 9, pp.2599-2611, (2014).

S. S. Saxena, and G.K. Dubey, “UnsteadyMHD heat and mass transfer free convection flow mof polar fluids past a vertical moving porous plate in a porous medium with heat generation and thermal diffusion”, Advances in Applied Science Research, Vol. 2, No. 4, pp.259-278, (2011).

J. V. Ramana Reddy, V. Sugunamma, N. Sandeep, and P. M. Krishna,“Thermal diffusion and chemical reaction effects on unsteady dusty viscous flow”, Advances in Physics Theories and Applications, Vol. 38, pp.7-21, (2014).

J. V. Ramana Reddy, V. Sugunamma, and N. Sandeep, “Thermal diffusionand hall current effects on an unsteady flow of a nanofluid under the influence of inclined magnetic field ”, Intl. J. Engineering Research in Africa, Vol. 20, No. 1, pp.61-79, (2016).

J. Niu, C. Fu, and W. Tan, “Slip-flow and and heat transfer of a non-Newtonian nanofluid in a microtube”, Plos One, Vol. 7, No. 5, Article Id: e37274, (2012).

A. Aziz, Y. Ali, T. Aziz, and J. I. Siddique, “Heat transfer analysis for stationary boundary layer slip flow of a power-law fluid in a darcyporous medium with plate suction/injection”, Plos One, Vol. 10, No. 9, Article Id: 0138855, (2015).

D. Pal, and B. Talukdar, “Perturbation analysis of unsteady magnetohydrodynamic convective heat and mass transfer in a boundary layer slip flow past a vertical permeable plate with thermal radiation and chemical reaction”, Communications in Nonlinear Science and Numerical Simulation, Vol. 15, pp. 1813-1830, (2010).

S. Karthikeyan, M. Bhuvaneswari, S. Rajan and S. Siva Sankaran, “Thermal radiation effects on MHD convective flow over a plate in a porous medium by perturbation technique”, Applied Mathematics and Computational Inteelligence, Vol. 2, No. 1, pp.75-83, (2013).

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