MHD heat transfer flow of Casson fluid past a stretching wedge subject to suction and injection


  • Imran Ullah Universiti Teknologi Malaysia
  • Sharidan Shafie Universiti Teknologi Malaysia
  • Ilyas Khan Universiti Teknologi Malaysia



Casson Fluid, Stretching Wedge, MHD, Keller-Box


The steady two dimensional incompressible hydromagnetic boundary layer flow caused by stretching wedge immersed in Casson fluid with heat transfer and suction/injection is investigated numerically. The governing nonlinear partial differential equations are transformed into nonlinear ordinary differential equations using suitable transformations and then solved numerically via Keller-box method. Numerical results for local skin friction coefficient are compared with the existing literature and observed in closed agreement with those results. The effects of pertinent parameters on flow fields are displayed graphically and discussed. It is found that velocity decreases with increase of Casson parameter and wedge angle parameter when the wedge is stretching faster than free stream. It is also observed that rate of heat transfer at surface increases with the increase of Prandtl number and Casson fluid parameter. Moreover, with increase of suction parameter the fluid velocity decreases and rate of shear stress increases.

Author Biographies

Imran Ullah, Universiti Teknologi Malaysia

Department of Mathematical Sciences, Faculty of Science

Sharidan Shafie, Universiti Teknologi Malaysia

Department of Mathematical Sciences, Faculty of Science

Ilyas Khan, Universiti Teknologi Malaysia

Department of Mathematical Sciences, Faculty of Science


Ahmad, R. and Khan, W. A., 2013. Effect of viscous dissipation and internal heat generation/absorption on heat transfer flow over a moving wedge with convective boundary condition. Heat Transfer-Asian Research, 42(7), pp.589–602.

Alam, M., Islam, T. and Rahman, M., 2015. Unsteady hydromagnetic forced convective heat transfer flow of a micropolar fluid along a porous wedge with convective surface boundary condition. International Journal of Heat and Technology, 33(2), pp.115–122.

Casson, N. 1959. A flow equation for pigment-oil suspensions of the printing ink type. In: Mill, C.C., Ed., Rheology of Disperse Systems, Pergamon Press, Oxford, pp.84–104.

Cebeci, T. and Bradshaw, P., 1988. Physical and computational aspects of convective heat transfer 1st ed. New York: Springer.

Chamkha, A. J., Mujtaba, M., Quadri, A. and Issa, C. 2003. Thermal radiation effects on MHD forced convection flow adjacent to a non-isothermal wedge in the presence of a heat source or sink. Heat and Mass Transfer, 39, pp. 305–312.

Chamkha, A.J. and Rashad, A.M., 2014. MHD forced convection flow of a nanofluid adjacent to a non-isothermal wedge. Computational Thermal Sciences, 6(1), pp. 27–39.

Dash, K., Mehta, R. and Jayaraman, G., 1996. Casson fluid flow in a pipe filled with a homogeneous porous medium. International Journal of Engineering. Science, 34(10), pp.1145–1156.

Eldabe, N.T.M. and Salwa, M.G.E, 1995. Heat transfer of MHD non-newtonian Casson fluid flow between two rotating cylinder. Journal of physical society Japan, 64, pp.41–64.

El-Dabe, N. T., Ghaly, A. Y. Rizkallah, R. R., Ewis, K. M. and Al-Bareda, A. S. 2015. Numerical solution of MHD boundary layer flow of non-Newtonian Casson fluid on a moving wedge with heat and mass transfer and induced magnetic field, Journal of Applied Mathematics and Physics, 3, pp.649-663.

Falkner, V.M. and Skan, S.W., 1931. Some approximate solutions of the boundary-layer equations. Philosophical Magzine, 12, pp.865–896.

Ishak, A., Nazar, R. and Pop, I., 2007. Falkner-Skan equation for flow past a moving wedge with suction or injection. Journal of Applied Mathematics and Computing, 25(1–2), pp.67–83.

Mukhopadhyay, S. and Mandal, I.C., 2014. Boundary layer flow and heat transfer of a Casson fluid past a symmetric porous wedge with surface heat flux. Chinese Physics B, 23(4), p.44702.

Mukhopadhyay, S., Mondal, I.C. and Chamkha, A.J., 2013. Casson fluid flow and heat transfer past a symmetric wedge. Heat Transfer-Asian Research, 42(8), pp.665–675.

Postelnicu, a. and Pop, I., 2011. Falkner-Skan boundary layer flow of a power-law fluid past a stretching wedge. Applied Mathematics and Computation, 217(9), pp.4359–4368.

Raju, C.S.K. and Sandeep, N., 2016. Nonlinear radiative magnetohydrodynamic Falkner-Skan flow of Casson fluid over a wedge. Alexandria Engineering Journal, 55(3), pp.2045–2054.

Su, X., Zheng, L., Zhang, X. and Zhang, J., 2012. MHD mixed convective heat transfer over a permeable stretching wedge with thermal radiation and ohmic heating. Chemical Engineering Science, 78, pp.1–8.

Yacob, N.A., Ishak, A., Nazar, R. and Pop, I., 2011. Falkner-Skan problem for a static and moving wedge with prescribed surface heat flux in a nanofluid. International Communications in Heat and Mass Transfer, 38(2), pp.149–153.

Yih, K.A., 1999. MHD forced convection flow adjacent to a non-isothermal wedge. International Communications in Heat and Mass Transfer, 26(6), pp.819–827.