Asymptotic stability of porous-elastic system with thermoelasticity of type III

In this work, we investigate a one-dimensional porous-elastic system with thermoelasticity of type III. We establish the well-posedness and the stability of the system for the cases of equal and nonequal speeds of wave propagation. At the end, we use some numerical approximations based on finite difference techniques to validate the theoretical results.

Numerical Research of Hall Current Influence on MHD Convective “Flow in Presence” of Jeffrey Fluid, Heat and Mass Transfer

The reason of this study is to find a numerical solutions of Jeffrey's compact, non-stressed, smooth, conductive, magnetic hall currents in the vertical optical direction in the occurrence of heat_flux, “heat”(h) & group transmit. The limited dissimilarity is solved to explain the “equations”(Eq). The effect of different constraints on “velocity”(V), “temperature”(temp) & concentration distributions was investigated at the boundary layer. Also, there is a computational discussion about the effect of relevant or important factors on the coefficients of skin_friction and the rate of h and “mass”(m) relocate according to the values of Nusselt and Sherwood information correspondingly. Great interconnection is achieved by using Perturbation and Finite difference techniques. Applications of magnetic materials, MHD generators and crude oil refinements have been found in this model.

Numerical Modelling of Nanocomposites Using GA and FD Techniques

Use of nanocomposites is increasing rapidly due to their enhanced thermal and structural properties. In the present work, the numerical modelling of nanocomposites is conducted with the help of the (GA) genetic algorithm and (FD) finite difference techniques to find out a set of nanocomposites with best thermal and structural properties. The genetic algorithm is utilized to find out the best set of nanocomposites on the basis of thermal and structural properties while the finite difference technique is utilized to solve the heat conduction equation. Different nanocomposites considered in the present work are Al-B4C, Al-SiC and Al-Al2O3. The weight percentage of these nanocomposites is varied to see its effect on the nanocomposites properties. In the end, the solidification curve for all the nanocomposites is plotted and analysed. Result reveals that GA helps in identifying the best set of nanocomposites while FD technique helps in predicting the solidification curve accurately. Increment in the wt. % of nanocomposites makes the solidification curve steeper.