Profiles of both the mean value and the standard deviation of the local fluctuating velocity were directly measured near the sidewall of a cubic convection cell using water as the working fluid. Scaling laws with the Rayleigh number Ra for various boundary layer quantities have been established over the range of Ra from 10 –10 and were found to be substantially different from those near the hor...

An approach is performed following finite element technique for MHD flow of viscous incompressible and electrically conducting fluid around a heat conducting solid block placed in a ventilated enclosure. A uniform transverse magnetic field is imposed in the opposite direction of flow perpendicular to the right vertical wall. Reynolds number and Prandtl number effects are investigated on flow an...

Geothermal energy can be effectively utilized for grain drying to reduce carbon emissions and also cut operational costs associated with conventional methods. The main challenges encountered in the use of geothermal dryer, such as Menengai, Kenya, include uneven long throughput times. Grains near hot air inlet dry at a faster rate compared those exhaust end. Therefore, grains must recirculated ...

In this paper we prove stability of Robin solid wall boundary conditions for the compressible Navier-Stokes equations. Applications include the no-slip boundary conditions with prescribed temperature or temperature gradient and the first order slip-flow boundary conditions. The formulation is uniform and the transitions between different boundary conditions are done by a change of parameters. W...

Recently, a critical test of the Navier-Stokes-Fourier equations for compressible fluid continua was proposed [H. Brenner, Phys. Rev. E 87, 013014 (2013)]. It was shown that the equations of bivelocity hydrodynamics imply that a compressible fluid in an isolated rotating circular cylinder attains a nonequilibrium steady state with a nonuniform temperature increasing radially with distance from ...