Papers by Keyword: Cross Diffusion

Abstract: Through this study, we investigated the influence of nonlinear thermal radiation, Soret and Dufour effects on unsteady mixed convection boundary flow of micropolar fluid past a stretching sheet. The governing equations of the flow, heat and mass transfer are transformed into a system of nonlinear ordinary differential equations by using self-similarity transformation and solved numerically using bvp4c Matlab package. The influence of various non-dimensional governing parameters on velocity, microrotation, temperature and concentration profiles are discussed and presented with the help of the graphs. Also computed the friction factor, heat and mass transfer rates and presented through tables. Result indicates by increasing the radiation parameter, an improvement is observed in both friction factor and mass transfer rates. .

Abstract: The current paper covers the examination of 3D nanofluid motion over a slendering expanding sheet under the influence of slip effect and thermal radiation. In this study, we considered the Cu-water and Al₅₀Cu₅₀-water nanofluids over a non-uniform thickness expanding sheet. With the help of similitude transformations, we changed the derived governed equations as ordinary differential equations. The mathematical outcomes determined by using Runge-Kutta and Newton’s methods. We reveal and interpret the graphs for different parameters of interest. We discussed the skin friction coefficient and reduced Nusselt number at different pertinent parameters. Results shown that the rate of heat transfer is higher in Al₅₀Cu₅₀-water nanofluid when compared with Cu-water nanofluid.

Abstract: Using the energy estimates and Gagliardo-Nirenberg type inequalities, the uniform boundedness and global existence of solutions for a predator-prey model with Holling IV functional response with self- and cross-diffusion are proved.