MHD mixed convection flow of power law non-Newtonian fluids over an isothermal vertical wavy plate

• Magnetic field effects undermine the heat transfer for n<1 more markedly.
• Magnetic field decreases the values of Nu number and Cf downstream of the plat.
• The magnetic field opposes the second harmonic in the curve of Nu number and Cf.
• The wavy geometry influences the pseudo-plastic fluids (n<1) more profoundly.

Mixed convection flow of electrically conducting power law fluids along a vertical wavy surface in the presence of a transverse magnetic field is studied numerically. Prandtl coordinate transformation together with the spline alternating direction implicit method is employed to solve the boundary layer equations. The influences of both flow structure and dominant convection mode on the overall parameters of flow and heat transfer are well discussed. Also, the role of magnetic field in controlling the boundary layers is investigated. The variation of Nusselt number and skin friction coefficient are studied as functions of wavy geometry, magnetic field, buoyancy force and material parameters. Results reveal the interrelation of the contributing factors.