Nonstationary flows of nonsymmetric fluids with thermal convection

Magnetohydrodynamic Free Convection Flows with Thermal Memory over a Moving Vertical Plate in Porous Medium

The unsteady hydro-magnetic free convection flow with heat transfer of a linearly viscous, incompressible, electrically conducting fluid near a moving vertical plate with the constant heat is investigated. The flow domain is the porous half-space and a magnetic field of a variable direction is applied. The Caputo time-fractional derivative is employed in order to introduce a thermal flux consti...

Pattern Formation and Thermal Convection of Newtonian and Viscoelastic Fluids

The influence of inertia and elasticity on the onset and stability of 3-D thermal convection is examined for highly elastic polymeric solutions with constant viscosity. These solutions are known as Boger fluids, and their rheology is approximated by the Oldroyd-B constitutive equation. The onset and the stability of steady convective patterns, namely rolls, hexagons and squares, are studied in ...

Thermal plumes and convection in highly compressible fluids.

We present simple hydrodynamic equations of supercritical fluids close to the gas-liquid critical point. We numerically solve them to examine plume generation and convection under gravity. These results are in good agreement with the experiment [A. B. Kogan and H. Meyer, Phys. Rev. E 63, 056310 (2001)]. This Letter is a first study of transient behavior of convection, which is unique in compres...

Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients

Nonstationary Flows with Viscous Heating Effects

The system of equations describing a nonstationary ow of a quasi-newtonian uid, with temperature dependent viscosity and with the viscous heating, is considered. Existence of at least one weak solution is proved, i.e. we get existence of at least one velocity eld having nite energy and existence of a nonnegative temperature eld. Its regularity is a consequence of the L 1-forcing term generated ...