The magneto hydrodynamics (MHD) boundary layer flow and heat transfer of a nanofluid with boundary slip condition for velocity second order, thermal slip, solutal slip, and suction, thermal radiation have been investigated numerically over a nonlinear stretching sheet with viscous dissipation. The profiles for the velocity, temperature and nanoparticle concentration depends on parameters viz. thermal radiation parameter R, suction parameter s, velocity first and second order slip parameters A and B, respectively, thermal slip parameter C, concentration slip parameter D, power-law parameter N, Prandtl number Pr, Lewis number Le, Brownian motion parameter Nb, thermophoresis parameter Nt, Eckert number Ec, and magnetic parameter M. Similarity transformation is used to convert the governing non-linear boundary-layer equations into coupled higher order non-linear ordinary differential equations. These equations are numerically solved by using an implicit finite difference method known as Keller-Box method. An analysis has been carried out to reveal the effects of governing parameters corresponding to various physical conditions. Numerical results and Graphical representation are obtained for distributions of velocity, temperature and concentration, as well as, for the skin friction, local Nusselt number and local Sherwood number for several values of governing parameters. The result reveals that velocity decreases with increase of first and second order velocity slip, suction and increases with increase of power-law parameter. Temperature decreases with the increase of thermal slip, suction, concentration slip but increases with thermal radiation, second order velocity slip. Nanoprticle concentration decreases with increase of concentration slip, suction, thermal radiation, thermal slip but increase with increase of second order velocity slip. A comparison with previous results available in the literature has been done and we found a good conformity with it. The numerical values of skin friction, Nusselt number and Sherwood number are presented in tables.
Vijaya Laxmi, T., & Shankar, B. (2016). Radiative boundary layer flow and heat transfer of nanofluid over a nonlinear stretching sheet with slip conditions and suction. Jordan Journal of Mechanical and Industrial Engineering, 10(4), 285–297.