This article presents numerical simulations of conjugated heat transfer in a fouled channel with a moving depositing front. The depositing front separating the fluid and the deposit layer is captured using the level-set method. Fluid flow is modeled by the incompressible Navier-Stokes equations. Numerical solution is performed on a fixed mesh using the finite volume method. The effects of Reyno...

An analysis is performed to study radiation effects on magnetohydrodynamic (MHD) unsteady free-convection flow past a semi-infinite vertical plate with variable surface temperature in the presence of transversal uniform magnetic field. The boundary layer equations are transformed into a linear algebraic system by an implicit finite-difference method. A parametric study is performed to illustrat...

Graetz and Nusselt studied heat transfer between a developed laminar fluid flow and a tube at constant wall temperature. Here, we extend the Graetz–Nusselt problem to dense fluid flows with partial wall slip. Its limits correspond to the classical problems for no-slip and no-shear flow. The amount of heat transfer is expressed by the local Nusselt number Nux, which is defined as the ratio of co...

The effect of inclination angle on the steady laminar free convection in a rectangular enclosure (aspect ratio = 5), which is discretely heated by an isoflux flush mounted small heater (L / H = 0.125) is studied numerically. The local and average Nusselt numbers are compared at inclination angles from 0 (bottom heating) to 180o (top heating), for modified Rayleigh numbers 102 ≤ Ra* ≤ 106. The t...

Entropy generation of double diffusive natural convection in a three dimensional differentially heated enclosure has been performed numerically. Vertical walls of enclosure are heated differentially and remaining walls are adiabatic. The obtained results were presented via iso-concentration, iso-temperatures, velocity vector projection, particle trajectories, velocity profiles, iso-entropy, loc...