Nonlinear study of convective heat transfer and fluid flows induced by travelling thermal waves
type: Item
instance of: scholarly article
title: Nonlinear study of convective heat transfer and fluid flows induced by travelling thermal waves
zbMATH Open document ID: 0595.76088
DOI: 10.1007/BF01181666
published in: Acta Mechanica
publication date: 1986-01-01T00:00:00Z
review text: A nonlinear study is made of the convective heat transfer and the fluid flow in an incompressible viscous fluid confined to a vertical wavy channel in four different geometrical configurations. The flow is generated by the periodic thermal waves prescribed at the wavy walls of the channel. The problem is solved by a perturbation technique with the assumption that the solution consists of a mean part and a perturbed part. The mean, perturbed and the total solutions are numerically evaluated for various values of the physical parameters involved in the problem. The perturbed part of the solution is made of the contributions from the wavyness of the channel walls and the travelling thermal waves. Of all the parameters, the heat source parameter plays an important role in augmenting (diminishing) the skin friction (the heat transfer) at the wall \(y=1\). Several interesting properties of the flow field and the heat trasfer are discussed. The results of this analysis are also graphically presented.
Mathematics Subject Classification ID: 76R05
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 3959025
zbMATH Keywords: convective heat transfer
zbMATH Keywords: incompressible viscous fluid
zbMATH Keywords: vertical wavy channel
zbMATH Keywords: periodic thermal waves
zbMATH Keywords: perturbation technique
zbMATH Keywords: total solutions
zbMATH Keywords: travelling thermal waves
zbMATH Keywords: heat source parameter
zbMATH Keywords: skin friction
author: K. Vajravelu
author: Lokenath Debnath
MaRDI profile type: Publication
cites work: Compressible boundary layers over wavy walls
cites work: The Rayleigh problem for a wavy wall
cites work: Effect of small amplitude wall waviness upon the stability of the laminar boundary layer
cites work: Free convective heat transfer in a viscous incompressible fluid confined between a long vertical wavy wall and a parallel flat wall
full work available at URL: https://doi.org/10.1007/bf01181666
OpenAlex ID: W1983836868
description: scientific article; zbMATH DE number 3959025