Effects of Richardson and Biot number on double‐diffusive Casson fluid flow with viscous dissipation

Heat Transfer ◽  
2021 ◽  
Author(s):  
Kemparaju Chandrashekar ◽  
Mahantesh M. Nandeppanavar ◽  
Raveendra Nagaraj ◽  
Sreelatha Madikiri
Keyword(s):  
Fluid Flow ◽  
Viscous Dissipation ◽  
Biot Number ◽  
Casson Fluid ◽  
Double Diffusive

scholarly journals Viscous Dissipation Effects on the Motion of Casson Fluid over an Upper Horizontal Thermally Stratified Melting Surface of a Paraboloid of Revolution: Boundary Layer Analysis

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
T. M. Ajayi ◽  
A. J. Omowaye ◽  
I. L. Animasaun
Keyword(s):  
Boundary Layer ◽  
Fluid Flow ◽  
Differential Equations ◽  
Viscous Dissipation ◽  
Newtonian Fluid ◽  
Dynamic Viscosity ◽  
Casson Fluid ◽  
Stratified Medium ◽  
Internal Space ◽  
Melting Surface

The problem of a non-Newtonian fluid flow past an upper surface of an object that is neither a perfect horizontal/vertical nor inclined/cone in which dissipation of energy is associated with temperature-dependent plastic dynamic viscosity is considered. An attempt has been made to focus on the case of two-dimensional Casson fluid flow over a horizontal melting surface embedded in a thermally stratified medium. Since the viscosity of the non-Newtonian fluid tends to take energy from the motion (kinetic energy) and transform it into internal energy, the viscous dissipation term is accommodated in the energy equation. Due to the existence of internal space-dependent heat source; plastic dynamic viscosity and thermal conductivity of the non-Newtonian fluid are assumed to vary linearly with temperature. Based on the boundary layer assumptions, suitable similarity variables are applied to nondimensionalized, parameterized and reduce the governing partial differential equations into a coupled ordinary differential equations. These equations along with the boundary conditions are solved numerically using the shooting method together with the Runge-Kutta technique. The effects of pertinent parameters are established. A significant increases inRex1/2Cfxis guaranteed withStwhen magnitude ofβis large.Rex1/2Cfxdecreases withEcandm.

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

2017 ◽  
Vol 27 (10) ◽  
pp. 2318-2332 ◽  
Author(s):  
Ioan Pop ◽  
Mikhail Sheremet
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Free Convection ◽  
Thermal Radiation ◽  
Viscous Dissipation ◽  
Vertical Wall ◽  
Casson Fluid ◽  
Eckert Number ◽  
Square Cavity ◽  
Content Type

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.

scholarly journals Double diffusive MHD Casson fluid flow in a non-Darcy porous medium with Newtonian heating and thermo-diffusion effects

2018 ◽  
Vol 36 (4) ◽  
pp. 1517-1527 ◽  
Author(s):  
Gauri Shanker Seth ◽  
Rajan Kumar ◽  
Rajat Tripathi ◽  
Arnab Bhattacharyya
Keyword(s):  
Porous Medium ◽  
Fluid Flow ◽  
Casson Fluid ◽  
Newtonian Heating ◽  
Diffusion Effects ◽  
Double Diffusive
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