Multi-fluid stratified shear flows in pipes. Part 3. Linear stability analysis

 dc.contributor.author Mutti, M. dc.contributor.author Paoletti, A. dc.date.accessioned 2015-06-24T07:39:49Z dc.date.available 2015-06-24T07:39:49Z dc.date.issued 2007 dc.description.abstract Paper presented at the 5th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, South Africa, 1-4 July, 2007. en_ZA dc.description.abstract The focus of this paper is on linear stability analysis of en_ZA steady state solutions developing in horizontal or nearly horizontal pipes. Continuity and momentum equations for incompressible and isothermal flows are derived considering an arbitrary number of fluids. It is shown that the linearization of the governing equations around the steady state solutions and the assumption of a particular form of the perturbations yield an eigen-value problem, the roots of which represent complex wave speeds of the perturbations. The coefficients of the eigenvalue problem are derived for the most general case and given in analytical form. The effects of inertia of the fluids, gravity, interfacial tensions, shear stresses and wave length are included explicitly in the stability coefficients. Some general properties of the eigen-value problem are outlined. dc.description.librarian cs2014 en_ZA dc.format.extent 6 pages en_ZA dc.format.medium PDF en_ZA dc.identifier.citation Mutti, M & Paoletti, A 2007, 'Multi-fluid stratified shear flows in pipes, Part 3 : Linear stability analysis', Paper presented to the 5th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, South Africa, 1-4 July 2007. en_ZA dc.identifier.isbn 9781868546435 dc.identifier.uri http://hdl.handle.net/2263/45716 dc.language.iso en en_ZA dc.publisher International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics en_ZA dc.relation.ispartof HEFAT 2007 dc.rights University of Pretoria en_ZA dc.rights.uri University of Pretoria en_US dc.subject Shear stress in pipes en_ZA dc.subject Linear stability analysis en_ZA dc.subject Steady state solutions in pipes en_ZA dc.subject Flow stability en_ZA dc.title Multi-fluid stratified shear flows in pipes. Part 3. Linear stability analysis en_ZA dc.type Presentation en_ZA
﻿