Viscous dissipation and Joule heating Effects on Unsteady flow of Walters-B and tangent hyperbolic liquid past a semi-infinite vertical porous plate

Abstract

Abstract The major aim of this communications is to examine the mass and heat transport process of two non-Newtonian liquids (Walters-B and hyperbolic tangent liquid) flowing into the boundary layer through a semi-infinite upward penetrable plate. The flow analysis is governed by partial differential equations (PDEs). The PDEs are reduced by utilizing a suitable quantity to obtain set of dimensionless PDEs. The simplified equations are solved by utilizing the spectral relaxation method (SRM). SRM is a technique that solved differential equations iteratively by first decoupling the system. This communication is unique because it elucidated the simultaneous flow of two non-Newtonian liquids with flow radiation, and Joule heating, viscous dissipation, magnetic field and so on. Increasing magnetic term enhances Lorentz force and the velocity degenerates owning to the simultaneous flow of Walters-B and hyperbolic tangent liquid, increase in the Weissenberg number elevates the velocity profile. The outcomes of this agrees with previous outcomes.