Radiative heat transfer by flowing multiphase medium—part III. An analysis on heat transfer of turbulent flow in a circular tube

Abstract

The heat transfer by gaseous suspension laminar flow of solid and/or liquid fine particles has been elucidated in the preceding papers by the authors when the thermal radiation predominates over other modes of heat transfer. In the present study an analysis is performed on the turbulent flow of the multiphase medium in a circular tube with constant wall temperature which is one of the most important problems in practice. The turbulent flow of gaseous suspension is, however, complicated in connection with the turbulent behaviors of the dispersed particles and the carrier fluid. Accordingly the tractable model has been employed by taking account of not only the radiative heat transfer to the particulate phase but the heat transfer between particles and surrounding fluid associated with turbulence. The reduced basic equations constitute simultaneous integro-differential equations which are solved numerically by the implicit finite difference method with iterative procedure of the radiative terms. Thereafter the calculated results on the temperature profiles and the heat transfer are examined in details.