Explicit equations for transient heat conduction in finite solids for Bi 2推荐.pdf

Explicit equations for transient heat conduction in finite solids for Bi 2推荐.pdf

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Explicit equations for transient heat conduction in finite solids for Bi 2推荐

Heat Mass Transfer (2009) 45:375–380 DOI 10.1007/s00231-008-0438-9 ORIGINAL Explicit equations for transient heat conduction in finite solids for Bi 2 A. G. Ostrogorsky Æ B. B. Mikic Received: 21 January 2008 / Accepted: 28 August 2008 / Published online: 17 September 2008 Springer-Verlag 2008 Abstract A set of correlations is developed for transient oh hL heat conduction in finite solids (plates, cylinders and ¼ ðTS T1 Þ BihS ð2Þ on k S spheres) exposed to high Biot number convection boundary conditions. For Bi C 3, the error of the approximate solu- where h(W/m2 K) is heat transfer coefficient and Bi is the tions is well below 1% of the initial temperature difference Biot number, driving the transient. hL Bi ¼ : ð3Þ k The Fourier’s infinite series solution for transient heat conduction in finite plates, cylinders and spheres are known 1 Introduction since 1822 [3]. The exponential terms in the Fourier series decay rapidly with time [4–9], so

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