Free convection in a square cavity filled with a Casson fluid under the effects of thermal radiation and viscous dissipation

Abstract

Purpose The main purpose of this numerical work is to study free convection of Casson fluid in a square differentially heated cavity taking into account the effects of thermal radiation and viscous dissipation. Design/methodology/approach The cavity is heated from the left vertical wall and cooled from the right vertical wall while horizontal walls are insulated. The governing partial differential equations invoking Rosseland approximation for thermal radiation with corresponding boundary conditions have been solved by finite difference method of the second-order accuracy using dimensionless variables stream function, vorticity and temperature. The governing parameters are Rayleigh number (Ra = 105), Prandtl number (Pr = 0.1, 0.7, 7.0), Casson parameter (γ = 0.1-5.0), radiation parameter (Rd = 0-10), Eckert number (Ec = 0-1.0). Findings It is found that an increase in Casson parameter leads to the heat transfer enhancement and fluid flow intensification. While a growth of Eckert number illustrates the heat transfer suppression. Originality/value The originality of this work is to analyze for the first-time natural convective fluid flow and heat transfer of a Casson fluid within a differentially heated square cavity under the effects of thermal radiation and viscous dissipation. The results would benefit scientists and engineers to become familiar with the flow behavior of such non-Newtonian fluids, and the way to predict the properties of this flow for possibility of using this specific fluid in various engineering and industrial processes, such as chyme movement in intestine, blood flows, lubrication processes with grease and heavy oils, glass blowing, electronic chips, food stuff, slurries, etc.

Performance of flow and heat transfer analysis of mixed convection in Casson fluid filled lid driven cavity including solid obstacle with magnetic impact

“…The governing conservation equations based on the physical model along with Boussinesq approximation can be written as follows [8,10,16,19,21]:…”

“…Some of the numerical analysis of Casson fluid flow have been reported here. Pop and Sheremet [19] analyzed free convection in a differentially heated square cavity filled with Casson fluid. Their results indicated the flow and heat transfer rate increases with Casson fluid parameter.…”

Numerical Simulation on Convection and Thermal Radiation of Casson Fluid in an Enclosure with Entropy Generation

“…The rheological model of Casson fluid is derived as below [ 9 , 10 ]: where and are ( i , j )th component of the deformation rate, is a critical rate of the product of deformation rate, and is dynamic viscosity, yield stress of liquid. The Casson liquid satisfies the Boussinesq approximation.…”

“…The Casson liquid is one kind of non-Newtonian liquid and it is a shear thinning (pseudo-plastic) liquid which behaves like an elastic solid [ 5 ]. Pop and Sheremet [ 9 ] explored the convective stream of Casson fluid in an enclosed space in the occurrence of radiation and viscous dissipation. They established that the Casson parameter favors energy transferal augmentation and stream intensification.…”

MHD natural convection flow of Casson fluid in an annular microchannel containing porous medium with heat generation/absorption

“…They employed Laplace method to describe velocity and temperature pro les. Pop et al [18] numerically studied Casson uid in a square cavity considering the combined e ect of thermal radiation and viscous dissipation. The result shows that heat transfer rate enhances for increasing values of Casson parameter.…”