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2016 | OriginalPaper | Chapter

13. Effect of Local Prandtl Numbers on Wall Temperature Gradient

Authors : De-Yi Shang, Liang-Cai Zhong

Published in: Heat Transfer of Laminar Mixed Convection of Liquid

Publisher: Springer International Publishing

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Abstract

For investigation of effect of local Prandtl numbers on wall similarity gradient, in this chapter the work on step 2 is performed for obtaining the system of data on coefficients and exponents \({a}_{1}\), \({b}_{1}\), \({a}_{2}\) and \({b}_{2}\) respectively at different value of local mixed convection parameter \(Mc_{x,\infty }\). The coefficients and exponents \({a}_{1}\), \({b}_{1}\), \({a}_{2}\) and \({b}_{2}\) are rigorously obtained with the optimal curve-fitting approach based on the system of the data on coefficient a and exponent b. On this basis, the coefficients and exponents \({a}_{1}\), \({b}_{1}\), \({a}_{2}\) and \({b}_{2}\) are attributed to the function of the local mixed convection parameter \(Mc_{x,\infty }\) respectively. In the next Chapter, our work will focus on investigation of correlation equations of the coefficients and exponents \({a}_{1}\), \({b}_{1}\), \({a}_{2}\) and \({b}_{2}\) with variation of the local mixed convection parameter \(Mc_{x,\infty }\) respectively.

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Metadata
Title
Effect of Local Prandtl Numbers on Wall Temperature Gradient
Authors
De-Yi Shang
Liang-Cai Zhong
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-27959-6_13

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