Classical and Generalized Convective Flows of Walters'-B Fluid

Walters' has proposed a classic model for the rheological equation of viscoelastic fluids known as Walters'-B fluid model. This model is widely used for accurate simulation of the complex flow behavior of many industrial liquids such as polymer solutions, hydrocarbons, and paints. Its constitutive equations generate highly non-linear differential equations and most of the time it is not easy to solve them. However, under certain constraints, one can try for analytical solutions. The purpose of this book is to investigate magnetohydrodynamic free convection flows of classical as well as generalized/fractional Walters'-B fluid over an infinite vertical flat plate. Hence, two problems with combined effect of heat and mass transfer is considered. Using the constitutive equations of Walters'-B fluid, the problems are formulated in terms of partial differential equations with corresponding physical conditions. Exact solutions for these problems are obtained via the Laplace transform methods. The physical quantities of interest are examined through graphs in order to explore various physical aspects.