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

A. A. Avramenko,Yu. Yu. Kovetskaya,N. P. Dmitrenko,I. V. Shevchuk

doi:10.3390/en14154537

A. A. Avramenko, Yu. Yu. Kovetskaya + Show 2 more

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https://doi.org/10.3390/en14154537

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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.

Highlights

Nowadays, the need for knowledge of the physical and chemical properties of gases, the features of their behavior in real production conditions, and during their transportation and storage has significantly increased
We investigate the influence of the thermophysical properties of a gas within the framework of the van der Waals equation of state on the characteristics of natural convection in comparison with the case of an ideal gas
The study has dealt with the problem of the steady-state natural convection of a van der Waals gas near a vertical heated plate

Summary

Introduction

The need for knowledge of the physical and chemical properties of gases, the features of their behavior in real production conditions, and during their transportation and storage has significantly increased. It is customary to refer to real gases as the gaseous state of any substance in the entire range of its existence, that is, at any pressures and temperatures. Real gas can be liquefied or converted into a solid state. It is expected that the development of small-scale energy in the coming years will be associated with the widespread use of liquefied natural gas, which is recognized as one of the most promising types of energy carriers. In its liquefied form, natural gas occupies only about 1/600 of its gaseous volume; it is easier and more economical to transport it [1,2,3]

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