On the Incompressible Limit of a Strongly Stratified Heat Conducting Fluid

Inviscid incompressible limits of strongly stratified fluids

We consider the motion of a compressible viscous fluid in the asymptotic regime of low Mach and high Reynolds numbers under strong stratification imposed by a conservative external force. Assuming a bi-dimensional character of the flow, we identify the limit system represented by the so-called lake equation the Euler system supplemented by an anelastic type constraint imposed by the limit densi...

On the motion of several rigid bodies in an incompressible non-Newtonian and heat-conducting fluid

Over the past years, there has been a great impulse in studying the motion of a rigid body. We would like to quote the work of Brenner [2] concerning the steady motion of one or more bodies in a linear viscous liquid in the Stokes approximation as well as Weinberger [18], [19], Serre [16] regarding the fall of a body in an incompressible Navier-Stokes fluid under the action of gravity and Borch...

Perfectly conducting incompressible fluid model of a wire array implosion

An incompressible perfectly conducting magnetohydrodynamic model is applied to describe a multiwire array implosion on the (r ,u) plane using the theory of analytic functions. The plasma columns emerging from the electrical explosion of individual wires move and change the shape of their cross section in the magnetic field produced by the currents flowing on the surfaces of the columns and clos...

Heat transport in a stratified twophase fluid

On the Numerical Solution of a Viscous Incompressible Electrically Conducting Fluid Flow over a Stretching Sheet

A numerical solution is carried out in this paper in order to study the steady laminar flow of a Newtonian electrically conducting fluid over a stretching sheet. The approach to this numerical solution is based on the idea of stretching the variables of the flow problem. Thereafter, we use the least squares method to minimize the residual of the “defect function”. Subsequently, this approximate...