Magnetohydrodynamic stagnation-point flow of a power-law fluid towards a stretching sheet is studied by using a similarity transformation to reduce the governing partial differential equations (PDE) of the problem to an ordinary differential equation (ODE) boundary value problem (BVP). The results show that for the ratio of the strain rate of stagnation-point flow to that of the stretching sheet greater than 1 and the magnetic parameter greater than equal to 0, there exists a solution to the BVP. There cannot be two solutions to the BVP and so any solutions must have non-monotonic factored terms. It is also found that for the stated parameter values, any non-monotonic solution must have very specific behavior.
All Science Journal Classification (ASJC) codes
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics