scholarly journals Spatial decay bounds for double diffusive convection in Brinkman flow

2008 ◽  
Vol 244 (2) ◽  
pp. 413-430 ◽  
Author(s):  
L.E. Payne ◽  
J.C. Song
Keyword(s):  
Double Diffusive Convection ◽  
Spatial Decay ◽  
Diffusive Convection ◽  
Decay Bounds ◽  
Double Diffusive

scholarly journals Spatial Decay Bounds for the Brinkman Fluid Equations in Double-Diffusive Convection

Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 98
Author(s):  
Xuejiao Chen ◽  
Yuanfei Li ◽  
Dandan Li
Keyword(s):  
Pipe Flow ◽  
Nonlinear Boundary ◽  
Energy Analysis ◽  
Nonlinear Boundary Conditions ◽  
Decay Estimates ◽  
Spatial Decay ◽  
Brinkman Equations ◽  
Diffusive Convection ◽  
Decay Bounds ◽  
Double Diffusive

In this paper, we consider the Brinkman equations pipe flow, which includes the salinity and the temperature. Assuming that the fluid satisfies nonlinear boundary conditions at the finite end of the cylinder, using the symmetry of differential inequalities and the energy analysis methods, we establish the exponential decay estimates for homogeneous Brinkman equations. That is to prove that the solutions of the equation decay exponentially with the distance from the finite end of the cylinder. To make the estimate of decay explicit, the bound for the total energy is also derived.

DOUBLE-DIFFUSIVE CONVECTION IN LIQUID FREON

1998 ◽  
Author(s):  
Pierre Dupont ◽  
O. Gorieu ◽  
Hassan Peerhossaini ◽  
M. Kestoras
Keyword(s):  
Double Diffusive Convection ◽  
Diffusive Convection ◽  
Double Diffusive
Sign in / Sign up

Export Citation Format

Share Document