NATURAL CONVECTION OF REAL GAS NEAR THE VERTICAL HEATED WALL
Abstract
The development of industry constantly requires reliable and long-lasting operation of various equipment with gas working bodies. In this regard, the accumulation of information related to the physicochemical, thermophysical, hydrodynamic properties of gases is constantly relevant.
If the technological problems are occur at high pressures and phase transitions, the laws of ideal gases do not apply in such cases, because the parameters of the gas undergo significant changes.
Therefore, the aim of this paper is to analyze the influence of thermophysical properties of Van der Waals gas on heat transfer of natural convection near a vertical heated wall, and to compare the influence of the equation of state of ideal and real gases on the characteristics of natural convection.
Symmetry analysis is used to solve this problem. The influence of the van der Waals equation of state on the characteristics of convective heat transfer is studied, and the obtained results are compared with the case of an ideal gas.
It is shown that increasing the parameter a in the equation of state of the flow increases the velocity in the near-wall layer compared to the ideal gas, and increasing the parameter b leads to a slowdown in flow.
The intensification and deterioration of heat transfer in the natural convection of real gas are also due to the effects of nonlinearity in the van der Waals equation and are related with the influence of Van der Waals parameters on the velocity profile.
References
2. Teymourtash A.R., Rhonakdar D.R., Raveshi M.R. Natural convection on a vertical plate with variable heat flux in supercritical fluids. Journal of Supercritical Fluid. 2013. 74. P.115–127
3. Liu J. Thermal convection in the van der Waals fluid. Frontiers in Computational Fluid-Structure Interaction and Flow Simulation. 2018. P.377–398
4. AvramenkoА.А., Shevchuk I.V., Abdallah S., Blinov D.G., Harmand S., Tyrinov A.I. Symmetry analysis for film boiling of nanofluids on a vertical plate using a nonlinear approach. Journal of Molecular Liquids. 2016. V. 223. P. 156–164
5. Avramenko A.A., Shevchuk I.V., Harmand S., Tyrinov A.I. Thermocapillary instability in an evaporating two-dimensional thin layer film. International Journal of Heat and Mass Transfer. 2015. V.91. P.77–88
6. Avramenko A.A., Kuznetsov A.V. The onset of bio‐thermal convection in a suspension of gyrostatic microorganisms in a fluid layer with an inclined temperature gradient. International Journal of Numerical Methods for Heat & Fluid Flow.2010. V. 20(1). P. 111–129
7. Avramenko A.A., Tyrinov A.I., Shevchuk I.V. Start-up slip flow in a microchannel with a rectangular cross section. Theoretical and Computational Fluid Dynamics. 2015. V.29(5). P.351–371
8. Avramenko A.A., Tyrinov A.I., Shevchuk I.V. An analytical and numerical study on the start-up flow of slightly rarefied gases in a parallel-plate channel and a pipe. Physics of Fluids. 2015. V.27(4). 042001
9. Avramenko A.A., Kuznetsov A.V. Flow in a curved porous channel with a rectangular cross section. Journal of Porous Media. 2008. V.11(3). P. 241–246
10. Battista F., Picano F., Casciola C.M. Turbulent mixing of a slightly supercritical Van der Waals fluid at Low-Mach number. Phys.Dyn. 2018
11. Kormann M., Krüger I.L. Application of a Real Gas Model by van der Waals for a HydrogenTank Filling Process. Proc. 13th Int. Modelica Conference, March 4–6, 2019, Regensburg, Germany, p. 665-670 DOI: 10.3384/ecp19157665 https://ep.liu.se/ecp/157/068/ecp19157068.pdf
12. Avramenko A.A., Shevchuk I.V., Kovetskaya M.M. An Analytical Investigation of Natural Convection of a Van Der Waals Gas over a Vertical Plate. Fluids. 2021. 6. 121
13. Petrik G.G. [On a new approach to obtaining physically substantiated equations of state. 1. Model of interacting point centers. Monitoring]. Science and technology. 2009. 1. P. 43–59 (in Rus.)
14. Olver P.J. Applications of Lie Groups to Differential Equations. Springer, New York .1986
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