Dual Solutions of Non-Newtonian Casson Fluid Flow and Heat Transfer over an Exponentially Permeable Shrinking Sheet with Viscous Dissipation

Abstract

The two-dimensional boundary layer flow of a non-Newtonian Casson fluid and heat transfer due to an exponentially permeable shrinking sheet with viscous dissipation is investigated. Using similarity transformations, the governing momentum and energy equations are transformed to self-similar nonlinear ODEs and then those are solved numerically by very efficient shooting method. The analysis explores many important aspects of flow and heat transfer of the aforesaid non-Newtonian fluid flow dynamics. For the steady flow of non-Newtonian Casson fluid, more amount of wall mass suction through the porous sheet is required in comparison to that of Newtonian fluid flow. Dual similarity solutions are obtained for velocity and temperature. The viscous dissipation effect has major impact on the heat transfer characteristic. In fact, heat absorption at the surface occurs and it increases due to viscous dissipation. For higher Prandtl number, the temperature inside the boundary layer reduces, but with larger Eckert number (viscous dissipation) it is enhanced.

A Computational Analysis of Two‐Phase Casson Nanofluid Passing a Stretching Sheet Using Chemical Reactions and Gyrotactic Microorganisms

“…Chen et al [40] experimentally used the values of Lewis number between 0 and 2. Various researchers [27,[40][41][42] have studied stretching sheet phenomena theoretically and experimentally and used similar ranges in their studies. Decrease in the velocity profile is recorded close to the boundary wall and an enhancement is seen by moving away from the boundary.…”

Simulation of unsteady natural convection flow of a Casson viscoplastic fluid in a square enclosure utilizing a MAC algorithm

“…Casson's model has received significant interest in engineering science simulation and a variety of analytical and computational methods have been utilized in simulating Casson rheological behavior in energy and industrial systems. Zaib et al 2 used a shooting numerical method to study the impact of viscous dissipation on the convective flow of Casson fluid toward a shrinking sheet. Prasad et al 3 employed Keller's finite difference box scheme to simulate enrobing slip thermal boundary layer flows of a cylindrical body in Casson fluid.…”

Computation of entropy generation in dissipative transient natural convective viscoelastic flow

“…They concluded that Brinkman number effects are vital predominantly in a transition region. Further, studies of dissipative thermal convection include Shamshuddin et al for micropolar fluids on inclined surfaces, Ali et al for Giesekus viscoelastic fluids in wire coating, and Zaib et al and Barletta for power‐law fluids. These studies have generally shown that omission of viscous heating effects tends to under‐predict temperatures and over‐predict velocity distributions and, therefore, furnishes unrealistic information on thermal/fluid characteristics, which may be detrimental to the polymer processing design.…”