# Tag Archives: Variable viscosity

## MHD and Heat Generation Along a Vertical Flat Plate with Variable Viscosity and Viscous Dissipation: A Numerical Solution (Published)

Numerous researchers have looked into the importance of natural convection in the context of engineering, and this topic has been extensively studied. This study investigates the nature of heat generation and viscous dissipation in MHD natural convection flow with changing viscosity. Laminar flow and boundary layer equations with unstable boundaries in two dimensions are the subject of this article. The fundamental governing equation is turned into a dimensionless governing equation by using the necessary variables. The Crank Nicolson scheme is an efficient implicit finite difference approach for numerical computations of these equations. Heat generation and viscosity dissipation owing to MHD and changing viscosity were explored in this work. Several effects of various parameters are demonstrated in this study, and they are compared to the velocity and temperature profiles, skin friction, and local heat transfer coefficients of other researchers. Compare the present numerical results to the work outcomes that were previously released. It also compares the number of works available to the number of works published previously. The results are given in both figures and tables for various values of related physical parameters.

Sirazum Munira, Sree Pradip Kumer Sarker, Md. M. Alam (2022) MHD and Heat Generation Along a Vertical Flat Plate with Variable Viscosity and Viscous Dissipation: A Numerical Solution, International Journal of Mathematics and Statistics Studies, Vol.10, No.4, pp.78-94,

## Analysis of Unsteady Blood Flow Through a Stenosed Artery with Constant and Variable Viscosities (Published)

This paper presents a theoretical study of the analysis of unsteady blood flow with constant and variable viscosities through a stenosed artery using a third grade fluid model. Incorporated into the models are the slip velocity and externally applied magnetic field. The methods employed in solving the equations governing the unsteady blood flow models with constant and variable viscosities are the Galerkin’s weighted residual and Forth order Runge-Kutta. Important flow parameters such as flow velocity, flow rate, shear stress and flow resistance have been computed. Graphical representation shows that, for both cases of unsteady blood flow models with constant viscosity and variable viscosity, magnetic field and shear thinning increases with flow resistance but decreases the flow velocity, flow rate and shear stress. Increases in slip velocity and shear thinning lead to increases in flow velocity, flow rate and shear stress but decrease the flow resistance. Other parameters that can positively influence the flow velocity are the pressure gradient and Reynold number. Finally, the velocity profile of unsteady blood flow model with constant viscosity is higher than that with variable viscosity.

## Numerical Study of Variable Viscosity and Thermal Conductivity on MHD Natural Convection Flow along a Vertical Flat Plate with Stress Work (Published)

From a technical standpoint, free convection flow around an isothermal vertical flat plate in the presence of a magnetic field is very critical, and many researchers have studied such problems. The effects of variable viscosity and thermal conductivity on magneto hydrodynamics (MHD) natural convection flow over a heated vertical plate immersed in a fluid with stress work will be investigated in this research. The basic governing equations are converted into non-dimensional governing equations by using the necessary variables. These equations’ numerical calculations are carried out using an effective implicit finite-difference system. The Crank-Nicolson scheme is what it’s called. This research uses a viscous incompressible fluid with temperature-dependent viscosity and thermal conductivity. The two-dimensional laminar and unsteady boundary layer equations are discussed here. The effect of various parameters on velocity, temperature, local skin friction, local Nusselt number, average skin friction, and average Nusselt number profiles will be seen in this analysis, and the results will be compared to those of other researchers. We’ll also make a comparison between the current work’s figures and those from previous publications.

## Analysis of Unsteady Blood Flow through A Stenosed Artery with Constant and Variable Viscosities (Published)

This paper presents a theoretical study of the analysis of unsteady blood flow with constant and variable viscosities through a stenosed artery using a third grade fluid model. Incorporated into the models are the slip velocity and externally applied magnetic field. The methods employed in solving the equations governing the unsteady blood flow models with constant and variable viscosities are the Galerkin’s weighted residual and Forth order Runge-Kutta. Important flow parameters such as flow velocity, flow rate, shear stress and flow resistance have been computed. Graphical representation shows that, for both cases of unsteady blood flow models with constant viscosity and variable viscosity, magnetic field and shear thinning increases with flow resistance but decreases the flow velocity, flow rate and shear stress. Increases in slip velocity and shear thinning lead to increases in flow velocity, flow rate and shear stress but decrease the flow resistance. Other parameters that can positively influence the flow velocity are the pressure gradient and Reynold number. Finally, the velocity profile of unsteady blood flow model with constant viscosity is higher than that with variable viscosity.