Numerical assessment of Bödewadt flow and heat transfer over a permeable disk with variable fluid properties

Abstract

Impact of variable fluid properties on heat transfer in Bödewadt flow with wall suction is the main focus of present article. Recent studies have predicted that energy equation in Bödewadt flow can have physically compatible solution only when disk is porous. We utilize the usual von-Kármán variables to transform the governing equations of fluid motion and heat transfer (with variable properties) into self-similar differential equations. The final problem comprises of a parameter θe that measures the degree of dependence of fluid viscosity on temperature. A numerical approach is pursued to determine velocity components, wall stresses, temperature and heat transfer rate from the disk. Wall suction velocity is found to have a pivotal role on the solutions. The main outcome of the study is that fluid velocity and temperature around the disk are considerably altered by varying the parameter θe. The deviations of present results from those obtained with constant fluid properties are deliberated. Present results are in perfect agreement with the available literature in a limiting sense.