NUMERICAL SIMULATION LAMINAR NATURAL CONVECTION HEAT TRANSFER IN A RECTANGULAR ENCLOSURE WHEN ONE OF ITS VERTICAL WALLS IS HEATED PARTIALLY | ||
| Iraqi journal of mechanical and material engineering | ||
| Article 1, Volume 12, Issue 2, June 2012, Pages 202-221 | ||
| Author | ||
| Israa Saad Ahmed | ||
| Abstract | ||
| Two-dimensional natural convection heat transfer with a rectangular enclosure is examined numerically. The left vertical wall is partially heated, the reminder of the wall and the right wall is cooled to uniform temperature distribution, the top and bottom walls are adiabatic. The theoretical study involved the numerical solution of the Navier-Stokes and energy equations by using finite difference method. The stream function– formulation is used in the mathematical model. The numerical solution is capable of calculating the stream function, vortices and temperature fields of the computational domain. A computer program in (FORTRAN 90) is used to carry out the numerical solution. Problem has been analyzed and the non-dimensional governing equations are solved using finite difference method. Enclosure is assumed to be filled with an air with a Prandtl number of 0.71. The problem is analyzed for different values of the Rayleigh number in the range (10 3 ≤ Ra ≤ 5×10 5 ) and aspect ratio (0.5≤ AR ≤ 2). It is found that for small Rayleigh, the heat transfer is dominated by conduction and begins to be dominated by convection with increasing Rayleigh. In order to validate the numerical model, the results of variation local Nusselt number and a relation between average Nusselt number and Ra number, are compared with previous works, for square enclosure filled by air (Pr=0.71). There are excellent agreements which validate the present computational model. | ||
| Keywords | ||
| natural convection; laminar; rectangular enclosure; partial heating | ||
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