Numerical simulation of coupled radiation‐convection heat transfer of high‐temperature developing flow in tube

Abstract

By combining the discrete ordinate method with the control volume method, the coupled radiation-convection heat transfer of high-temperature developing laminar flow in a tube is investigated numerically. The radiative transfer is solved by the discrete ordinate method and its contribution to thermal balance is dealt with as a source term in the energy equation, which is solved, as well as the momentum equation, by the control volume method. The effects of medium optical thickness and tube wall temperature on the temperature distribution in medium as well as the heat flux and local Nusselt number on wall are analyzed. The results show that the radiation heat transfer of high-temperature medium influences the temperature distribution and convection heat transfer greatly, and plays an important role in the heat transfer of developing laminar flow in a tube.

Application of high‐resolution NVD differencing schemes to the FTn finite volume method for radiative heat transfer

“…1a). The azimuthal angle, , is then uniformly subdivided into the numbers of the sequence of 4, 8, 12, 16, …, 2n, 2n, …, 16,12,8,4 in each level of the polar angle ( Fig. 1a).…”

“…The finite volume method (FVM) and the discrete ordinates method (DOM) have widely been used to solve the radiative transfer equation (RTE) in transparent and participating media, [1][2][3][4][5][6][7][8][9][10][11] due to their good compromise between accuracy and moderate consuming times. Moreover, both methods have good flexibility when they are implemented in computational fluid dynamics codes.…”