0017-9310/$ see front matter 2010 Elsevier Ltd. A doi:10.1016/j.ijheatmasstransfer.2010.04.034 * Corresponding author. Tel.: +82 2 2123 5812; fax E-mail address: [email protected] (Y.H. Jang). Greenwood’s approximation for the thermal resistance of a cluster of microcontacts is used recursively to estimate the thermal resistance due to a fractal array of circular contact areas motivated by Archa...

In this work, a theoretical model with numerical solution is brought forward for bio-nanofluid varying fluid features over slippery sheet. The partial differential equations (PDEs) involving temperature-dependent quantities have been translated into ordinary (ODEs) by using similarity variables. Numerical verifications done in three different methods: finite difference method, shooting and bvp4...

This work extends the results of [L07] by presenting a defect correction method with increased time accuracy. The desired time accuracy is attained with no extra computational cost. The method is applied to the evolutionary transport problem, and is proven to be unconditionally stable. In the defect step, the artificial viscosity parameter is added to the Peclet number as a stability factor, an...

We present a robust scheme for solving the electrokinetic equations. This goal is achieved by combining the lattice-Boltzmann method with a discrete solution of the convection-diffusion equation for the different charged and neutral species that compose the fluid. The method is based on identifying the elementary fluxes between nodes, which ensures the absence of spurious fluxes in equilibrium....

A multi-mode nonlinear constitutive model for mucus is constructed directly from micro- and macro-rheology experimental data on cell culture mucus, and a numerical algorithm is developed for the culture geometry and idealized cilia driving conditions. This study investigates the roles that mucus rheology, wall effects, and HBE culture geometry play in the development of flow profiles and the sh...

An algorithm based on operator splitting has been successfully implemented for solving unsteady, advectiondominated transport problems in 3-D. Specifically, the general operator-integration-factor splitting method of Maday et al. is applied to the unsteady advection–diffusion equation with source/sink terms. The algorithm incorporates a 3-D characteristic Galerkin scheme to treat advection, and...

Solute transport in fractured rocks is of major interest in many applications: geothermal energy production, petroleum industry, ground water management. This work focuses on a dispersion experiment performed with a transparent replica of a real fracture. The local aperture map was extracted using the well-known Beer-Lambert law, which shows a very heterogeneous medium. The hydrodynamic apertur...

The first experimental and theoretical evidence was provided for the non-negligible role of a diffusio-osmosis in the ion concentration polarization (ICP) layer, which had been reported to be in a high Peclet number regime. Under the assumption that the hydrated shells of cations were stripped out with the amplified electric field inside the ICP layer, its concentration profile possessed a stee...

Different formulations of interfacial force have been adopted in the existing phase-field-based lattice Boltzmann method for two-phase flows. Although they are identical mathematically, their numerical performances may be different due to truncation errors at discrete level. In this article, four-type available literature, namely, stress tensor form (STF), chemical potential (CPF), pressure for...

We use a mesoscopic computer simulation method to study the interplay between hydrodynamic and Brownian fluctuations during steady-state sedimentation of hard sphere particles for Peclet numbers (Pe) ranging from 0.1-15. Even when the hydrodynamic interactions are an order of magnitude weaker than Brownian forces, they still induce backflow effects that dominate the reduction of the average sed...