Effects of viscous dissipation on the stability of a liquid film flowing down a heated inclined plane
type: Item
instance of: scholarly article
title: Effects of viscous dissipation on the stability of a liquid film flowing down a heated inclined plane
zbMATH Open document ID: 0626.76052
DOI: 10.1016/0017-9310(87)90205-5
published in: International Journal of Heat and Mass Transfer
publication date: 1987-01-01T00:00:00Z
review text: The author has studied the linear stability of the flow of a fluid down a heated inclined plate, by considering the viscous dissipation effects. Assuming the dissipation parameter to be small \((<1)\), the author has derived the correction \(Ra_ 1\) to the neutral \(Ra_ 0\), where Ra is the Rayleigh number. However, it is well-known that the viscous dissipation effects mainly depend upon the Prandtl number of the fluid and hence the stability of such a fluid flow is still governed by the Prandtl number of the fluid. In this paper, one more aspect of the stability has not been considered by the author. If the dissipation parameter \(Di>1\), what is the effect of this parameter on the stability of the flow on an inclined plane? This question has remained unanswered. It is worth studying. Mechanical engineers with find this paper most useful.
Mathematics Subject Classification ID: 76E15
zbMATH DE Number: 4018633
zbMATH Keywords: linear stability
zbMATH Keywords: heated inclined plate
zbMATH Keywords: viscous dissipation effects
author: Dimitrios A. Goussis
reviewed by: V. M. Soundalgekar
MaRDI profile type: Publication
full work available at URL: 0017-9310(87)90205-5
OpenAlex ID: W2029118349
description: scientific article; zbMATH DE number 4018633