Combined Thermal Radiation and Laminar Mixed Convection in a Square Open Enclosure with Inlet and Outlet Ports

Abstract

Abstract: Mixed convection inside a square cavity with inlet and outlet ports isnumerically simulated considering thermal radiation effect. The non dimensionaltransfer equations, based on Boussinesq assumption and the radiative heat trans-fer equation are solved by the finite-volume-method and the TDMA algorithm.Results, presented for a gray fluid and a wide range of dimensionless numbers;Reynolds (Re=10-1000), Richardson (Ri=0-0.01), Boltzmann (Bo=0.1-100), radia-tion to conduction parameter (Rc=0.1-100), and optical thickness (t =0.1-10) showthat the radiation significantly affects temperature distribution. Streamlines are alsosensitive to radiative parameters (as optical thickness) but less than temperature.Keywords: combined, radiation, mixed convection, open cavity, optical thick-nessNomenclatureBo Boltzmann number, Bo =rC p U e =n 2 s˜T 3h G incident radiation, G = R W=4p IdWGr Grashof number, Gr =gbDTd 3e =n 2 I radiation intensity, W m 2 Sr 1 k thermal conductivity, W m 1 K 1 L enclosure height, mn refractive indexNu Nusselt numberN normalized direction cosine