Experimentally-Benchmarked kinetic simulations of heat transfer through rarefied gas with constant heat flux at the boundary. (September 2021)

• Record Type: Journal Article
• Authors: Khan, M. Adnan; Jobic, Yann; Graur, Irina; Hadj-Nacer, Mustafa; Zampella, Cody; Greiner, Miles
• Is Part Of: International journal of heat and mass transfer. Volume 176(2021)
• Publication Date: 2021-09
• Subjects: Constant heat flux boundary condition -- Kinetic equation -- Gas-solid surface interaction -- Analytical solution of the Fourier equation -- Two infinite concentric cylinders geometry -- General behaviors of the temperature and heat flux -- Experimental data; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2021.121378
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: New boundary conditions were developed which allow for a given heat flux at the surface calculate a surface temperature. The boundary conditions were numerically implemented and validated in correlation with experimental data. Analytical expressions for the temperature distribution were derived in slip and free molecular flow regimes. The proposed conditions can be applied to evaluate a surface temperature when a heat flux at the surface is known. Abstract: In many applications, the heat flux at the surface is known instead of the surface temperature. In addition, in some applications, like vacuum drying or high altitude flights, the pressure is below atmospheric pressure, so the rarefaction effects become important, and therefore, the Navier-Stokes-Fourier equations fail to predict gas thermal behavior. In this paper, a constant heat flux boundary condition is developed and implemented in the frame of the Shakhov model kinetic equation, with the possibility to simulate the diffuse-specular reflexion of the molecules from the surface. The developed technique is implemented for the simulation of gas heat transfer in a two concentric cylinders configuration, similar to vacuum drying of used nuclear fuel canisters. The numerical results obtained using developed approach are compared with experimental data of heat transfer through rarefied gas between two concentric cylinders.