An Integral Method for Natural Convection of Van Der Waals Gases over a Vertical Plate

A. A. Avramenko, I. V. Shevchuk, Yu. Yu. Kovetskaya and N. P. Dmitrenko
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A. A. Avramenko: Institute of Engineering Thermophysics, National Academy of Sciences, 03057 Kiev, Ukraine
I. V. Shevchuk: Faculty of Computer Science and Engineering Science, TH Köln–University of Applied Sciences, 51643 Gummersbach, Germany
Yu. Yu. Kovetskaya: Institute of Engineering Thermophysics, National Academy of Sciences, 03057 Kiev, Ukraine
N. P. Dmitrenko: Institute of Engineering Thermophysics, National Academy of Sciences, 03057 Kiev, Ukraine

Energies, 2021, vol. 14, issue 15, 1-12

Abstract: This paper focuses on a study of natural convection in a van der Waals gas over a vertical heated plate. In this paper, for the first time, an approximate analytical solution of the problem was obtained using an integral method for momentum and energy equations. A novel simplified form of the van der Waals equation for real gases enabled estimating the effects of the dimensionless van der Waals parameters on the normalized heat transfer coefficients and Nusselt numbers in an analytical form. Trends in the variation of the Nusselt number depending on the nature of the interaction between gas molecules and the wall were analyzed. The results of computations for a van der Waals gas were compared with the results for an ideal gas.

Keywords: natural convection; van der Waals gas; analytical solution (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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