HEAT TRANSFER FOR HERSCHEL-BULKLEY FLUIDS IN THE ENTRANCE REGION OF A RECTANGULAR DUCT

Document Type : Original Article

Authors

1 Professor, Dpt. of Engineering Mathematics and Physics, Fayoum University, Egypt.

2 Assistant lecturer, Dpt. of Engineering Mathematics and Physics, Fayoum University, Egypt.

Abstract

ABSTRACT
In this study, we present a numerical solution for combined laminar fluid flow and
heat transfer of Herschel-Bulkley non-Newtonian fluids in the entrance region of a
rectangular duct. The governing equations are solved iteratively by using finite
difference method to obtain temperature, bulk temperature, and Nusselt number. Two
cases of the thermal boundary conditions are considered; (i) T thermal boundary
condition “constant temperature at the wall” and (ii) H2 thermal boundary condition
“constant heat flux at the wall”. The results are presented in Tables and Figures for
different parameters for the fluid and the duct geometry.

Keywords