Numerical evaluation of the Graetz series

The Graetz problem describes the temperature field in fully-developed laminar flow in a circular tube where the wall temperature profile is a step-function. Several analysis of this problem, particularly the infinite series solution of the problem, referred to as the Graetz series, has been performe...

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Veröffentlicht in:	International journal of heat and mass transfer 1999-08, Vol.42 (15), p.3013-3017
Hauptverfasser:	HOUSIADAS, C, LARRODE, F. E, DROSSINOS, Y
Format:	Artikel
Sprache:	eng
Schlagworte:	Analytical and numerical techniques Eigenvalues and eigenfunctions Exact sciences and technology Fundamental areas of phenomenology (including applications) Heat transfer Laminar flow Numerical analysis Physics Problem solving
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Beschreibung
Zusammenfassung:	The Graetz problem describes the temperature field in fully-developed laminar flow in a circular tube where the wall temperature profile is a step-function. Several analysis of this problem, particularly the infinite series solution of the problem, referred to as the Graetz series, has been performed but a well defined method that enables the numerical evaluation of Graetz series with known accuracy is not yet developed. In this regard, an accurate method for calculating the thermal entrance region in the Graetz series is presented.
ISSN:	0017-9310 1879-2189
DOI:	10.1016/S0017-9310(98)00257-9