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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v27.i2-4.190
pages 468-480

Transient Forced Convection due to a Positive Step Change on Thermal Wall Conditions

Mourad Rebay
University of Reims Champagne-Ardenne GRESPI / Faculte des Sciences PB 1039, 51687 Reims, France
Jacques Padet
Laboratoire de Thermomécanique - UTAP Moulin de la housse, Faculté des Sciences, Université de Reims Champagne Ardenne, B.P. 1039, 51687 Reims cedex 2, France

ABSTRACT

The thermal response of an incompressible laminar boundary layer over a semi-infinite plate due to a positive step change in either the plate temperature or the plate heat flux density is investigated. Some coordinate transformations are obtained with the differential method in the two cases of boundary conditions. Numerical solution of differential equations is obtained by a combination of two types of finite difference schemes. Temperature profiles, thermal boundary-layer thickness and convective heat coefficient are displayed graphically for air flow. Empirical relations for the transient duration as function of Prandtl number are given for the two cases of wall conditions, for Pr ranging from 0.71 to 100.


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