Heat transfer analysis for squeezing flow of a Casson fluid between parallel plates

Heat transfer analysis for the squeezing flow of a Casson fluid between parallel circular plates has been presented. Viable mathematical model has been constructed by using conservation laws coupled with suitable similarity transforms. This model ends up on a set of two highly nonlinear ordinary differential equations. Resulting equations have been solved by using a well-known analytical technique homotopy perturbation method (HPM). A numerical solution using forth order Runge–Kutta method has also been sought to support our analytical solution and the comparison shows an excellent agreement. Flow behavior under altering involved physical parameters is also discussed and explained in detail with graphical aid. For the presented problem, values of parameters are restricted. Analysis is carried out using the following ranges of parameters; squeeze number (-4⩽S⩽4)(-4⩽S⩽4), Casson fluid parameter (0.1⩽β⩽∞)(0.1⩽β⩽∞), Prandtl number (0.1⩽Pr⩽0.7)(0.1⩽Pr⩽0.7), Eckert number (0.1⩽Ec⩽0.7)(0.1⩽Ec⩽0.7) and 0.1⩽δ⩽0.40.1⩽δ⩽0.4. Increase in velocity for squeeze number and Casson fluid parameter is observed. Temperature profile is found to be decreasing function of squeeze number and Casson fluid parameter and increasing function of Pr, Ec and δ.