Heat transfer in an infinite layer with fractal distribution of heating elements

Winter School on Continuous Media Mechanics

Titov, V.^1 ; Stepanov, R.^1,2

Institute of Continuous Media Mechanics UB RAS, Acad. Korolev St. 1, Perm

614013, Russia^1

Perm National Research Polytechnic University, Komsomolsky ave. 29, Perm

614990, Russia^2

关键词: Enhancement of heat transfer;    Fractal distribution;    Fractal geometry;    Heterogeneous distributions;    Horizontal walls;    Multi-scale structures;    Nonisothermal flows;    Weakly non-linear;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/208/1/012039/pdf
DOI  :  10.1088/1757-899X/208/1/012039

来源: IOP

【 摘 要 】

The effect of inhomogeneous temperature distribution at boundary on convection in an infinite horizontal plane layer is investigated. Direct numerical simulation of the compressible non-isothermal flow in a cubic cell with rigid horizontal walls is performed under periodic vertical boundary conditions. Laminar and weakly non-linear flow regimes are determined. The heated area on the cell bottom obeys regular or fractal distributions. The intensities of heat flux through the layer are compared for different heterogeneous distributions of heating elements at a specific temperature gradient in the case when the area of heated surface remains constant. Fractal geometry shows the appearance of the multiscale structure of the flow and the enhancement of heat transfer.