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In the present study the flow of power-law fluid, due to a stretching sheet embedded in a saturated porous medium, is considered. This study also accounts for the variable thermal conductivity in the process of heat transfer along with dissipation due to Joule heating. The thermal conductivity is assumed to vary as a linear function of temperature. The similarity transformation is used to convert nonlinear partial differential equations to non linear ordinary equations. The numerical method, Runge-Kutta method with shooting technique has been applied to solve the resulting equations. The power-law fluid exhibits a dual property in the presence of magnetic field. The limiting cases  n  → 0 and  n  → ∞ have been discussed. For large  n  the solution becomes unstable which leads to flow instability(Shown in the graph).

Numerical approach to MHD flow of power-law fluid on a stretching sheet with non-uniform heat source