We consider long-wave Marangoni convection in a liquid layer atop a substrate of low thermal conductivity, heated from below. We demonstrate that the critical perturbations are materialized at the wave number K ∼ √Bi, where Bi is the Biot number which characterizes the weak heat flux from the free surface. In addition to the conventional monotonic mode, a novel oscillatory mode is found. Applyi...

   The present article describes the effects of thermal radiation and heat source/sink parameters on the mixed convective magnetohydrodynamic flow of a Casson nanofluid with zero normal flux of nanoparticles over an exponentially stretching sheet along with convective boundary condition. The governing nonlinear system of partial differential equations along with boundary conditions...

Nonlinear dynamics of patterns near the threshold long-wave monotonic Marangoni instability conductive state in a heated thin layer liquid covered by insoluble surfactant is considered. Pattern selection between roll and square planforms analyzed. The dependence pattern stability on heat transfer from free surface characterized Biot number gravity described Galileo at different concentrations s...

Drying of a non-hygroscopic porous slab initially saturated with liquid, up to the time of the first appearance of dried patches (critical time), is studied experimentally using glass beads and convective heating, and analytically using the volume averaged conservation equations for capillary driven liquid flow and empirical constitutive relations. Good agreement has been found between the pred...

The mechanism of displacement washing of packed bed of porous, compressible and cylindrical particles, e.g., fibers, is presented with the help of an axial dispersion model involving Peclet number (Pe) and Biot number (Bi). Bulk fluid concentration, intra-pore solute concentration and concentration of solute adsorbed on the fiber surface are taken to be the function of washing time and position...

This paper looks at the flow of Jeffrey fluid due to a curved stretching sheet. Effect of homogeneous-heterogeneous reactions is considered. An electrically conducting fluid in the presence of applied magnetic field is considered. Convective boundary conditions model the heat transfer analysis. Transformation method reduces the governing nonlinear partial differential equations into the ordinar...

A backmixing-diffusion model was developed and proposed to describe the mass transport in a reversing continuous countercurrent extractor (RCCE) at steady-state condition. Three variables namely draft, retention time, and extraction temperature were studied according to various experimental trials. Equilibrium distribution coefficient and solute diffusivity were important parameters introduced ...

Linear poroelasticity models have important applications in biology and geophysics. In particular, the well-known Biot consolidation model describes coupled interaction between linear response of a porous elastic medium saturated with fluid diffusive flow within it, assuming small deformations. Although deterministic finite element methods for solving them numerically been well studied, there i...

In this article, we investigate the bioconvection flow of Casson nanofluid by a rotating disk under impacts Joule heating, convective conditions, heat source/sink and gyrotactic microorganisms. When Brownian diffusion thermophoretic effects exist, fluid is examined. The existing physical problem with energy transports demonstrated above considerations in form partial differential equations (PDE...