Tag Archives: Steady-state

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.

Keywords: Dependent Thermal Conductivity, Magneto-Hydrodynamics, Steady-state, Variable viscosity

Parameter Sensitivity and Elasticity Analysis of a Mathematical Model for Non–Homogenous Population Density of a Weed Species (Published)

In this work, a stage-structured model for non- homogenous population density of an annual weed is analysed for parameter sensitivity and elasticity. The steady state solution of the model is obtained. In order to determine the contribution of identified parameters to the model steady state, the sensitivity and elasticity analyses are performed using matrix calculus approach. The result of the sensitivity analysis shows that the steady state is very responsive to change in established seedling survival rate (e). While, elasticity analysis indicates that, both established and matured weeds steady-state densities are equally affected by small additive changes in maturity rate (m) and establishment rate (e). Besides, seed bank seed density is most sensitive to small additive change in seed production (b) as compared to weed maturity rate (m). Hence, we conclude that increase in the survival and maturity rates possibly may lead to an increase in weed population density.

Keywords: Elasticity, Matrix calculus, Parameter, Partial derivative., Steady-state, sensitivity