This article concerns the behavior of initial layer appearing at large Prandtl number in Boussinesq equations with ill data. By using asymptotic expansion methods singular perturbation theory, we establish an approximate solution and rate convergence as tends to infinity.Our results improve existing ones concerning thermosolutal convection.

We consider the following system of equations 8 < : A(x; t) has period L where > > 0. For any nite L, we completely classify the existence of solutions with minimal period L and determine the stability and instability of all such solutions. 1. Introduction In this paper, we continue our study on the following amplitude equations proposed by P.C. Matthews and S.M. Cox 4], 8] which arise in therm...

Abstract In this short paper, some analytical results found in “Double-diffusive Soret convection phenomenon porous media: effect of Vadasz inertia term” by F. Capone, R. De Luca, M. Vitiello, Ricerche Mat. 68, 581–595 (2019), are recalled order to better explore the dynamic thermosolutal a horizontal layer with influence and terms.

Macrosegregation in direct chill (DC) continuous casting of an Al-4.5 wt pct Cu round ingot is numerically simulated. The model incorporates descriptions of heat transfer, solute redistribution, and melt convection on the system scale with microscopic relations for grain growth, solutal undercooling, and microsegregation. Simulations are conducted to study the effects of mushy zone permeability...