Abo Bibliothek: Guest
Digitales Portal Digitale Bibliothek eBooks Zeitschriften Referenzen und Berichte Forschungssammlungen
Heat Transfer Research
Impact-faktor: 0.404 5-jähriger Impact-Faktor: 0.8 SJR: 0.264 SNIP: 0.504 CiteScore™: 0.88

ISSN Druckformat: 1064-2285
ISSN Online: 2162-6561

Volumes:
Volumen 50, 2019 Volumen 49, 2018 Volumen 48, 2017 Volumen 47, 2016 Volumen 46, 2015 Volumen 45, 2014 Volumen 44, 2013 Volumen 43, 2012 Volumen 42, 2011 Volumen 41, 2010 Volumen 40, 2009 Volumen 39, 2008 Volumen 38, 2007 Volumen 37, 2006 Volumen 36, 2005 Volumen 35, 2004 Volumen 34, 2003 Volumen 33, 2002 Volumen 32, 2001 Volumen 31, 2000 Volumen 30, 1999 Volumen 29, 1998 Volumen 28, 1997

Heat Transfer Research

DOI: 10.1615/HeatTransRes.v38.i6.80
pages 565-572

On the Paradox about the Propagation of Thermal Energy Speed in a Semi-Infinite Body Heated by a Forced Convective Flow

Antonio Campo
Department of Mechanical Engineering, The University of Vermont, Burlington, VT 05405, USA
Salah Chikh
USTHB, Faculty of Mechanical and Process Engineering, LTPMP, Alger 16111, Algeria

ABSTRAKT

An algebraic evaluation proclaims that the surface heat flux in a semi-infinite body with uniform initial temperature T0 and prescribed uniform temperature TS at the exposed surface ascends to infinity when time approaches zero. This unreasonable behavior responds to a well-known pathology of the phenomenological Fourier's law that translates into an infinite speed of thermal energy propagation in semi-infinite bodies, which is extensive to finite bodies. From thermal physics, it is expected that when the uniform temperature TS at the exposed surface in a semi-infinite body (a Dirichlet boundary condition) is replaced by a generalized convective boundary condition (a Robin boundary condition), the surface heat flux should climb up to infinity also when time approaches zero. Two answers exist. The prevalent abnormal situation happens when the phenomenological Fourier's law is applied at the exposed surface, i.e., from the solid side. On the contrary, the abnormal situation does not occur when the empirical Newton's "equation of cooling" is applied at the exposed surface, i.e., from the fluid side.


Articles with similar content:

A NEW SOLUTION OF THE EXTENDED GRAETZ PROBLEM WITH AXIAL CONDUCTION AND VARIABLE WALL TEMPERATURE
Hybrid Methods in Engineering, Vol.1, 1999, issue 4
Affonso Silva Telles, G. Elmor Filho, E. M. Queiroz
THERMOACOUSTIC STREAMING EFFECTS FROM A SPHERE SUBJECT TO TIME-PERIODIC TEMPERATURE DISTURBANCES
International Heat Transfer Conference 10, Vol.13, 1994, issue
Ashok Gopinath, Satwindar Singh Sadhal
Unsteady Natural Convection Flow over a Heated Cylinder Buried in a Fluid Saturated Porous Medium
Journal of Porous Media, Vol.12, 2009, issue 12
Mahesh Kumari, Girishwar Nath
Effect of Viscous Dissipation on the Darcy Forced-Convection Flow Past a Plane Surface
Journal of Porous Media, Vol.6, 2003, issue 2
Ioan Pop, B. Keller, E. Magyari
AN INVERSE FINITE DIFFERENCE METHOD FOR THE DETERMINATION OF THERMAL CONDUCTIVITY
International Heat Transfer Conference 5, Vol.2, 1974, issue
Richard H. Thaler