Natural convection near a vertical wall of constant mass flux and temperature situated in a mass stratified fluid

8th International Conference on Advanced Concepts in Mechanical Engineering

Neagu, M.^1

Manufacturing Engineering Department, Dunârea de Jos University, Galai, Romania^1

关键词: Conservation equations;    Constant temperature;    Convection regime;    Equilibrium state;    Finite differences methods;    Governing equations;    Stratification parameters;    Stratified fluid;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/444/8/082020/pdf
DOI  :  10.1088/1757-899X/444/8/082020

来源: IOP

【 摘 要 】

This paper presents the analysis of the natural convection process that occurs near a vertical impermeable wall embedded in a fluid containing a certain constituent. The temperature of the wall is constant and the mass flux of the constituent is constant at the wall. At infinity, the fluid has a constant temperature and a linearly varying concentration of the constituent. The scale analysis of the governing equations reveals the succession of the heat (HDC) and/or mass (MDC) driven convection regime that attains the equilibrium state along the wall. Two possibilities are encountered: a heat driven convection (HDC) regime if Ra ⋅ γ2 ⋅ Le4 / 3 ⋅ N-3 ≥ 1 and a HDC-VMDC regime succession if Ra ⋅ γ2 ⋅ Le4 / 3 ⋅ N-3 ≈ 1, where Ra is the Rayleigh number, Sc is the mass dimensionless stratification parameter, N is the buoyancy ratio, Le is the Lewis number, γ = 1 - (1 + Pr1 / 2 ) -1 and Pr is the Prandtl number. These results are illustrated for two parameter sets by solving the conservation equations using the finite differences method.