Figure 9 Effects of different values of \(\Pr\) on temperature profiles

conclusion

The magnetohydrodynamic stagnation-point flows of a Casson fluid towards a convectively heated stretching/shrinking sheet are investigated taking the buoyancy force into consideration. Using the similarity variables, the governing differential equations are transformed to ordinary differential equations and solved numerically by shooting method with Runge-Kutta Fehlberg integration scheme. The effects of the various governing parameters were analyzed and the following remarks can be summarized below.
  1. The velocity boundary layer thickness reduces with magnetic field parameter.
  2. The flow field velocity decreases with increase in Casson parameter\(\beta\) as well as the thermal boundary layer thickness.
  3. The Biot number decreases the thermal boundary layer thickness whereas the Eckert number increases it.