Nonlinear stretching/shrinking cooling of a sheet involving an MHD Walters' liquid B with suction

Abstract

The main objective of this article is to explore analytical solution for fourth order highly nonlinear differential equation. The stretching/shrinking is a non-linear (at least quadratic) function along the direction of stretching/shrinking. The stretching/ shrinking of a sheet with a velocity profiles are comparatively dependent on the distance from the velocity axes. The system of partial differential equations is transformed into the system of highly nonlinear ordinary differential equation via similarity transformation. Velocity profiles as a function of stretching/shrinking related parameters, Chandrasekhar number and viscoelastic parameter are discussed graphically. The analytical solutions of system of boundary layer equations emerging from the stretching/shrinking sheet problems were investigated and also the outcomes are in good agreement with the classical results on this topic. The outcomes have conceivable mechanical applications in fluid based frameworks including stretchable materials, in polymer extrusion process, metal spinning and other industrial processes. © 2019 IIETA.