A Simulation of Casson Fluid Flow with Variable Viscosity and Thermal Conductivity Effects

Abstract

This article is related with the simulation of mass and heat relocation behavior of viscous dissipative chemically reacted Casson fluid which is flowing with impact of suction, thermal conductivity and fickle viscosity. Current conductivity along with temperature dependent viscosity changes as a linear function of temperature. First of all, leading equations are converted into dimensionless form via suitable transformations. Therefore explicit finite differential technique has solved the obtained non-dimensional, non-similar mixed nonlinear and partial differential equations with the support of Compaq Visual Fortran 6.6.a, a very well-known programing language. The behavior of various relevant parameters in the boundary profile velocity, temperature and concentration was considered realistically. Therefore, these variables have a diagrammatic influence on skin friction and the heat transference coefficient profiles. Stability and convergence tests are also carried out for the accuracy of implemented numerical scheme. One of the significant attainment is the Casson fluid parameter displayed quite interesting behavior on the velocity fields as it represented provoking behavior close to the boundary but it behaved oppositely away from the boundary surface. However, a comparison is also presented with good agreement for the validation of the current investigation.

Characterization of fluid flow and heat transfer of a periodic magnetohydrodynamics nano non‐Newtonian liquid with Arrhenius activation energy and nonlinear radiation

“…• As this is simulation-based research, the validation is carried out using another simulationbased study that is already accessible in the literature. 17,19,32,45 (Figure 1).…”

“…Reddy et al 26 Present result Parameters Mondal et al 19 Reza-E-Rabbi et al 17 Al-Mamun et al 32 Present Result ε K r φ M U Cf…”

“…To start the stability and convergence test for this model first of all, for the dimensionless U, θ, and C, where i = −1 , we have to assume e e iαX iβY is the common term of Fourier expansion at time τ = 0. On the other hand, for any later time τ the expressions of Fourier expansion for U, θ, and C can be written in the form of Equation (19). Moreover, after Δτ (time step), the terms of Fourier extension for U, θ, and C can be declared in the form of Equation (20).…”

“…For these consequences, distinct scholars analyzed this Casson fluid through unalike geometric shapes, including diverse effects. [16][17][18][19][20][21] Again, the study that deals with the magnetic effects in electrically conducting fluids are known as Magnetohydrodynamics (MHD) which has a colossal impact in the field of earth's magnetic field, nuclear fusion, cooling of fission reactors, X-ray radiation, solar wind, electrolytes, tumor therapy, star formation, etc. Through a wavy (sinusoidal and periodic) curved channel, Okechi et al 22 explored the effects of the magnetic field by applying the perturbation method.…”

Numerical Study on Unsteady Flow and Mass Transfer Past a Vertical Porous Plate with Variable Viscosity

“…Runge Kutta Fehlberg integration and successive linearization methods have been used for investigating the effect of different parameters. Mondal et al [13] investigated the flow of casson fluid for thermal conductivity and variable viscosity. The effects of heat source along with viscous dissipation on unsteady MHD flow through a sheet, which is stretching, have been reflected in the work of Reddy et al [14] where Keller Box method has been used to examine the heat source and viscous dissipation.…”