Abstract

A numerical study of conjugate thermogravitational convection in a closed cavity with a local heater of square or triangular shape placed on a heat-conducting substrate using the double distribution function of the lattice Boltzmann method has been carried out. The side walls of the research area are maintained at a constant minimum temperature. The influence of the geometric shape of the heating element, the Rayleigh number, and the material of the heat-removing substrate on the thermohydrodynamic parameters has been studied. As a result of the research, the joint effect of these mentioned parameters on the efficiency of heat removal from the heater surface has been established. It has been found that a rise of the bottom wall thermal conductivity causes an increase in the average Nusselt number at the heater surface.

Highlights

  • Numerical Investigation of Conjugate Natural Convection in a Conjugate thermogravitational convection attracts the attention of many scientists from all over the world due to the extensive range of tasks where it can be applied

  • To study the efficiency of passive cooling systems, it is proposed to consider the influence of the geometric shape of the heating element and the thermal conductivity of the substrate material where this local energy source is placed

  • The double Distribution Function Lattice Boltzmann Method has been chosen as the numerical method

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Summary

Introduction

Conjugate Natural Convection in a Conjugate thermogravitational convection attracts the attention of many scientists from all over the world due to the extensive range of tasks where it can be applied One of such tasks is the convective–conductive cooling of radio-electronic units with the presence of heating elements. These tasks are relevant due to the intensive development of the micro and radio electronics industry, while the power of such devices is growing, and the energy consumption and heat load of the active elements are increasing In this connection, the development of the active and passive cooling systems is required. The lattice Boltzmann method (LBM) has been used as the main method of numerical research

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