MHD Slip Flow Past an Extending Surface with Third Type Boundary Condition and Thermal Radiation Effects

Open access


MHD slip flow past an extending surface with third type (convective) boundary condition and thermal radiation is analysed. The governing momentum and energy equations are converted into set of nonlinear ordinary differential equations using appropriate similarity transformations. The Fourth-Order Runge-Kutta shooting method is applied for obtaining the numerical solution of the resulting nonlinear ordinary differential equations. The numerical results for velocity and temperature distribution are found for different values of the vital parameters, namely: the magnetic interaction factor, slip factor, convective factor, Prandtl number and radiation factor and are presented graphically, and discussed.

If the inline PDF is not rendering correctly, you can download the PDF file here.

  • [1] Soundalagekar V.M. Takhar H.S. and Vighnesam N.V. (1960): The combined free and forced convection flow past a semi-infinite plate with variable surface temperature. – Nuclear Engineering and Design vol.110 pp.95-98.

  • [2] Viskanta R. and Grosh R.J. (1962): Boundary layer in thermal radiation absorbing and emitting media. – International Journal of Non-linear Mechanics vol.43 pp.377-382.

  • [3] Mosa M.F. (1979): Radiative heat transfer in horizontal MHD channel flow with buoyancy effects and an axial temperature gradient. – Ph.D. thesis Mathematics Department Bradford University England U.K.

  • [4] Hossain M.A. and Takhar H.S. (1996): Radiation effect on mixed convection along a vertical plate with uniform surface temperature. – Heat Mass Transfer vol.31 pp.243-248.

  • [5] Hossain M.A. Alim M.A. and Rees D.A. (1999): The effect of radiation on free convection from a porous vertical plate. – International Journal of Heat and Mass Transfer vol.42 pp.181-191.

  • [6] Elbashbeshy E.M.A. (2000): Radiation effect on heat transfer over a stretching surface. – Canadian Journal of Physics vol.78 pp.1107-1112.

  • [7] Duwari H.M. and Damesh R.A. (2004): Magnetohydrodynamic natural convection heat transfer from radiate vertical porous surfaces. – Heat Mass Transfer vol.40 pp.787-792.

  • [8] Pop S.R. Grosan T. and Pop I. (2004): Radiation effects on the flow near the stagnation point of a stretching sheet. – Technische Mechanik vol.29 pp.100-106.

  • [9] Cortell R. (2008): Radiation effects in the Blasius flow.– Journal of Applied Mathematics and Computation vol.198 pp.333-338.

  • [10] Aydin O. and Kaya A. (2009): MHD mixed convection heat transfer flow about an inclined plate. – Heat Mass Transfer vol.46 pp.129-136.

  • [11] Mukhopadhyay S. Bhattacharyya K. and Layek G.C. (2011): Steady boundary layer flow and heat transfer over a porous moving plate in presence of thermal radiation. – International Journal of Heat and Mass Transfer vol.54 pp.2751-2757.

  • [12] Anjali Devi S.P. and Gururaj A.D.M. (2012): Effects of variable viscosity and nonlinear radiation on MHD flow with heat transfer over a surface stretching with a power law velocity. – Advances in Applied Science Research vol.3 pp.319-334.

  • [13] Shit G.C. Haldar R.A. and Sinha A. (2013): Unsteady flow and heat transfer of MHD micropolar fluid over a porous stretching sheet in the presence of thermal radiation. – Journal of Mechanics vol.29 pp.559-568.

  • [14] Sandeep N. Fazlul Kader Murshed Indranil Roy Chowdhury and Arnab Chattopadhyay (2015): Radiation effect on boundary layer flow of a nanofluid over a nonlinearly permeable stretching sheet. – Advances in Physics Theories and Application vol.40 pp.43-54.

  • [15] Renuka Devi A.L.V. Neeraja A. and Bhaskar Reddy N. (2015): Radiation effect on MHD slip flow past a stretching sheet with variable viscosity and heat source/sink. – International Journal of Scientific and Innovative Mathematical Research vol.3 No.5 pp.8-17.

  • [16] Aziz A. (2009): A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition. – Communications in Nonlinear Science and Numerical Simulation vol.14 pp.1064-1068.

  • [17] Ishak A. (2010): Similarity solutions for flow and heat transfer over a permeable surface with convective boundary condition. – Applied Mathematics and Computation vol.271 pp.837-842.

  • [18] Makinde O.D. and Aziz A. (2011): Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition. – International Journal of Thermal Science vol.50 pp.1326-1332.

  • [19] Nor Ashikin Abu Bakar Wan Mohd Khairy Adly Wan Zaimi Rohana Abdul Hamid Biliana Bidin and Anuar Ishak. (2012): Boundary layer flow over a stretching sheet with a convective boundary condition and slip effect. – World Applied Sciences Journal vol.17 pp.49-53.

  • [20] Noreen Sher Akbar Nadeem S. Rizwan Ul Haq and Khan Z.H. (2013): Radiation effect on MHD stagnation point flow of nanofluid towards a stretching surface with convective boundary condition. – Chinese Journal of Aeronautics vol.26 No.6 pp.1389-1397.

  • [21] Ramesh G.K. and Gireesha B.J. (2014): Influence of heat source/sink on a Maxwell fluid over a stretching surface with convective boundary condition in the presence of nano particles. – Ain Shams Engineering Journal vol.5 No.3 pp.991-998.

  • [22] Rahman M.M. Alin V. Rosca and Pop. I. (2015): Boundary layer flow of a nanofluid past a permeable exponentially shrinking surface with convective boundary condition using Buongiorno’s model. – International Journal of Numerical Methods for Heat and Fluid Flow vol.25 No.2 pp.299-319.

Journal information
Impact Factor

CiteScore 2018: 0.4

SCImago Journal Rank (SJR) 2018: 0.163
Source Normalized Impact per Paper (SNIP) 2018: 0.439

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 64 63 18
PDF Downloads 50 50 12