Axisymmetric stagnation-point flow and heat transfer of a viscous fluid on a moving cylinder with time-dependent axial velocity and uniform transpiration

TitleAxisymmetric stagnation-point flow and heat transfer of a viscous fluid on a moving cylinder with time-dependent axial velocity and uniform transpiration
Publication TypeJournal Article
Year of Publication2004
AuthorsSaleh, R., and A. B. Rahimi
JournalJournal of Fluids Engineering-Transactions of the ASME
Volume126
Pagination997-1005
Date PublishedNOV
Type of ArticleArticle
ISSN0098-2202
Keywordsexact solution, stagnation flow, time-dependent axial movement, time-dependent heat transfer, transpiration
Abstract

{The unsteady viscous flow and heat transfer in the vicinity of an axisymmetric stagnation point of an infinite moving cylinder with time-dependent axial velocity and with uniform normal transpiration U-0 are investigated. The impinging free stream is steady and with a constant strain rate L An exact solution of the Navier-Stokes equations and energy equation is derived in this problem. A reduction of these equations is obtained by use of appropriate transformations for the most general case when the transpiration rate is also time-dependent but results are resented only for uniform values of this quantity. The general self-similar solution is obtained when the axial velocity of the cylinder and its wall. temperature or its wall heat flux vary as specified time-dependent functions. In particular the cylinder may move with constant speed, with exponentially increasing-decreasing axial velocity, with harmonically varying axial speed, or with accelerating-decelerating oscillatory axial speed. For self-similar flow, the surface temperature or its surface heat flux must have the same types of behavior as the cylinder motion. For completeness, sample semisimilar solutions of the unsteady Navier-Stokes and energy equations have been obtained numerically using a finite-difference scheme. Some of these solutions are presented for special cases when the time-dependent axial velocity of the cylinder is a step-function, and a ramp function. All the solutions above are presented for Reynolds numbers

URLhttp://dx.doi.org/10.1115/1.1845556%7D
DOI10.1115/1.1845556

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