Forced convection heat transfer to a power‐law fluid in arbitrary cross‐section ducts

Abstract

A numerical method is developed to predict the three‐dimensional forced convection laminar incompressible flow of a power law fluid in arbitrary cross‐section straight ducts. The continuity equation and boundary layer forms of the energy and momentum equations in rectangular coordinates are transformed into new orthogonal coordinates with boundaries coinciding with the coordinate surfaces. The resulting equations are solved using the finite difference technique. The numerical scheme is capable of handling different hydrodynamic and thermal entry boundary conditions but results are only presented for uniform inlet velocity and temperature profiles and isothermal wall. To demonstrate the wider applicability of the method local heat transfer coefficients and pressure drop in square, trapezoidal and regular pentagonal ducts are computed as functions of pertinent thermal and hydrodynamic parameters.

Experimental study on the heat transfer at the heat exchanger of the thermoacoustic refrigerating system

“…Fig. 7 shows comparison of the results from this study with the results from the numerical study by Lawal and Mujumdar [23] for laminar straight flow through a trapezoidal duct as reported by Kakac et al [24]. This is the closest geometry in the literature to the heat exchanger used in this study.…”

Isothermal Pseudo-2D Analysis of Reactive Extrusion in Single-Screw Extruders

“…The foregoing results for concentration distribution are new, and constitute the major contribution of the present study although a similar analysis has been carried out for temperature distribution in single-screw extruder without any reaction term [34][35][36].…”