Influence of magnetohydrodynamic (MHD) flow between two parallel disks is considered. Heat transfer analysis is disclosed due to thermal radiation and convective boundary condition. Appropriate transformations are invoked to obtain the ordinary differential system. This system is solved using homotopic approach. Convergence of the obtained solution is discussed. Variations of embedded parameter...

S The diffusivity of water in meat was experimentally determined using a drying technique. Three different mathematical methods were used to determine the diffusivity from the drying data. The first assumes constant diffusivity, volume, temperature and surface moisture concentration. The second assumes a convective boundary condition. The last also takes into account shrinkage. Important differ...

Introduction: It has long been realized that the daytime convective boundary layer on Mars is generally much deeper than that on Earth [1]. This is fundamentally the consequence of the low density of the Martian atmosphere, coupled with the fact that the solar thermal forcing of the surface is not that much weaker than on the Earth. Simple consideration of these factors leads to a basic recogni...

The gravity-driven film flow has been analyzed along a vertical wall subjected to a convective boundary condition. The Boussinesq approximation is applied to simplify the buoyancy term, and similarity transformations are used on the mathematical model of the problem under consideration, to obtain a set of coupled ordinary differential equations. Then the reduced equations are solved explicitly ...

The extracellular matrix of cartilage is a charged porous fibrous material. Transport phenomena in such a medium are very complex. In this study, solute diffusive flux and convective flux in porous fibrous media were investigated using a continuum mixture theory approach. The intrinsic diffusion coefficient of solute in the mixture was defined and its relation to drag coefficients was presented...

The combined effect of non-Newtonian rheology and irreversible boundary reaction on dispersion in a Herschel-Bulkley fluid through a conduit (pipe/channel) is studied by using generalized dispersion model. The study explains the development of dispersive transport following the injection of a tracer in terms of three effective transport coefficients namely exchange, convective and dispersion co...

Different one-phase Stefan problems for a semi-infinite slab are considered, involving moving phase change material as well temperature dependent thermal coefficients. Existence of at least one similarity solution is proved imposing Dirichlet, Neumann, Robin or radiative-convective boundary condition the fixed face. The velocity that arises in convective term diffusion-convection equation assum...

The evolutions of radially symmetric vortices and idealized easterly waves are compared using three simple convective parameterization schemes. The parameterizations are formulated for a model atmosphere consisting of three coupled, shallow, constant-density layers. The first was developed by Ooyama and later refined by DeMaria and Pickle (the ODP scheme). Their scheme uses horizontal convergen...

The probabilistic bulk convection model (PBCM) developed in a companion paper is here extended to shallow nonprecipitating convection. The PBCMunifies the clear-sky and shallow convection boundary layer regimes by obtaining mixed-layer growth, cloud fraction, and convective inhibition from a single parameterization based on physical principles. The evolution of the shallow convection PBCM is ba...

Summertime convection over Arizona typically begins in the early afternoon and continues into the night. This suggests that the evolution of the daytime planetary boundary layer is important to the development of Arizona convection. If numerical models are to provide useful guidance for forecasting convection during the monsoon, then the planetary boundary layer must be simulated as accurately ...