FORCED CONVECTION THERMAL BOUNDARY LAYER DEVELOPMENT IN A POROUS MEDIA NEAR A WALL WITH VARIABLE TEMPERATURE BOUNDARY CONDITION

The behavior of forced convection heat transfer characteristics through and over porous layer near a heated flat plate at variable temperature has been investigated numerically. Two cases of variable wall temperature boundary condition are studied. The first case is of linear temperature variation with position along the flat plate and the second case is of sinusoidal temperature variation with time of heating. The flow field in the porous region is governed by the Darcy-Brinkman-Forchheimer equation, the thermal field in the porous region by the energy equation and the part over the porous matrix includes flow and heat transfer equations. Solutions of the problem have been carried out using a finite difference method through the use of a stream function-vorticity transformation. The effects of various governing dimensionless parameters, Darcy number, Reynolds number, Prandtle number as well as the inertia parameter are thoroughly explored. The variation of the non-dimensional period and amplitude values of the sinusoidal temperature distinction with time was also studied. Good results were obtained and reported graphically. It was found that the local Nusselt number on the flat plate increases with the increasing of the increasing non-dimensional values of period and amplitude individually

CONJUGATE NATURAL CONVECTION IN A POROUS ENCLOSURE SANDWICHED BY FINITE WALLS AND SUBJECTED TO CONVECTION COOLING CONDITION

Steady conjugate natural convection heat transfers in a two-dimensional enclosure filled with fluid saturated porous medium is studied numerically. The two vertical boundaries of the enclosure are kept isothermally at same temperature, the horizontal upper wall is adiabatic, and the horizontal lower wall is partially heated. The Darcy extended Brinkman Forcheimer model is used as the momentum equation and Ansys Fluent software is utilized to solve the governing equations. Rayleigh number (1.38 ≤ Ra ≤ 2.32), Darcy number (3.9 * 10-8), the ratio of conjugate wall thickness to its height (0.025 ≤ W ≤ 0.1), heater length to the bottom wall ratio (1/4 ≤ ≤ 3/4) and inclination angle (0°, 30° and 60°) are the main considered parameters. The presented results show the effect of these parameters on the heat transfer and fluid flow characteristics. These results include streamlines, isotherm patterns, and local and average Nusselt number for different values of the governing parameters. It is found that either increasing the Rayleigh number and the ratio of conjugate wall thickness to its height (d/H) or decreasing the ratio of heat source width to bottom wall (l/L), the average Nusselt number is increased. Also, it was observed that the average Nusselt number does not change substantially with inclination angle

NUMERICAL AND EXPERIMENTAL INVESTIGATIONOF STEAM FILM CONDENSATION ON A VERTICAL TUBE

 Film condensation of steam on a vertical tube is investigated numerically and experimentally,   in the present work. A mathematical model was set based on the basic conservation laws of mass   and energy, Nusselts analysis of film condensation, and empirical equations available in the   literature. Then, a simulation program in FORTRAN language was developed which simulates the   film condensation of steam on a vertical tube. A complete steam tables subprogram was also   developed and incorporated with the main program. The experimental work was carried out using a   steam condensation test bench. The inlet and outlet cooling water temperatures, steam temperature   and pressure, tube surface temperature at center, and cooling water flow rate are recorded during   each experimental test run. The inlet cooling water temperature, steam temperature, and cooling   water flow rate are used as an input for the numerical program, then the program calculates tube   surface temperature distribution, cooling water temperature distribution, local heat transfer rate,   local condensation heat transfer coefficient, condensate boundary layer thickness distribution, total   heat transfer rate, and average condensation heat transfer coefficient. The effect of various   parameters on the condensation heat transfer coefficient, such as steam temperature, steam-surface   temperature difference, and the presence of non-condensable gas were investigated and reported   graphically. It was found that increasing (steam-surface) temperature difference while keeping the   steam temperature constant results in an increase in condensate boundary layer thickness, which in   turn causes a decrease in condensation heat transfer coefficient. On the other hand, increasing steam   temperature and keeping the (steam-surface) temperature difference constant leads to an increase in   condensation heat transfer coefficient. In addition, the presence of non-condensable gas with   different concentrations was also investigated and it was shown that it causes a noticeable reduction   in the average condensation heat transfer coefficient. An equation for calculating average   condensation heat transfer coefficient on a vertical tube was also developed. The experimental data   obtained from the test runs were compared with numerical results and showed good agreement.   Thus, it can be concluded that the present computational program is suitable for simulating steam   condensation on a vertical tube.

Mixed Convection in a Square Cavity Filled with Porous Medium with Bottom Wall Periodic Boundary Condition

Transient mixed convection heat transfer in a confined porous medium heated at periodic sinusoidal heat flux is investigated numerically in the present paper. The Poisson-type pressure equation, resulted from the substituting of the momentum Darcy equation in the continuity equation, was discretized by using finite volume technique. The energy equation was solved by a fully implicit control volume-based finite difference formulation for the diffusion terms with the use of the quadratic upstream interpolation for convective kinetics scheme to discretize the convective terms and the temperature values at the control volume faces. The numerical study covers a range of the hydrostatic  pressure sinusoidal  amplitude  range and  time  period  values  of . Numerical results show that the pressure contours lines are influenced by hydrostatic head variation and not affected with the sinusoidal amplitude and time period variation. It is found that the average Nusselt number decreases with time and pressure head increasing and decreases periodically with time and amplitude increasing. The time averaged Nusselt number decreases with imposed sinusoidal amplitude and cycle time period increasing