Verification of Conjugate Heat Transfer Models in a Closed Volume with Radiative Heat Source

Maksimov, Vyacheslav I.; Nagornova, Tatiana A.; Kurilenko, N.I.

doi:10.1051/matecconf/20167201061

Cited by 7 publications

(2 citation statements)

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“…Turbulent free convective air-flow was considered. Algebraic (11) and (12) [12][13][14] and standard к-ɛ (4) and (5) [15,17,18] models were used. The method of variables non-dimensionalization in the considered system of differential equations is similar [17].…”

Section: Problem Statement and Solution Methodsmentioning

confidence: 99%

“…In this respect it appears relevant to analyze the possibility to use algebraic turbulence models to solve the conjugate problems of heat transfer under the conditions of turbulent natural convection in the areas with characteristic dimensions of one to ten meters. Besides, it is necessary to take into account the results of the experimental research into such processes [15,16] which show that under real-life conditions of heat transfer there appear time-variable large temperature gradients both in the air and in the building envelope. That is why the simulation seems appropriate at least in a flat unsteady design.…”

Section: Introductionmentioning

confidence: 99%

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Prognostic potential of free convection models for analysis of thermal conditions of heat supply objects

2018

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The article shows the results of mathematical simulation of convective turbulent heat transfer in the closed domain with heat-conducting walls and the source of heat emission. The system of equations in the model of thermal conductivity for the solid walls and Navier-Stokes equations for gas are solved. The article examines the possible versions of the calculation of the turbulent regime in the geometrically simple air region by means of conducting the simulation within the framework of algebraic models (Van Driest and Prandtl-Reichardt), and k-ε model. On the basis of the obtained results the authors made a conclusion about the possibility of applying the algebraic model of Prandtl to describe the integral characteristics of turbulent flows in the conditions of natural convection in a geometrically simple area when the air heated by the heat source is moved by the lifting force. Besides, the temperature fields for a typical real object of heat supply are simulated in the article. The values of the dimensionless heat exchange coefficient at the air-wall interface are determined. The comparative analysis of two quite significantly different approaches to determine the average temperature in the heated room, i. e. the traditional balance approach and the approach based on the considered system of partial differential equations is executed. It is concluded that the balance models of the calculation of the temperature regime can adequately describe real temperatures of heat supply objects only for very large values of the characteristic times of the processes in question.

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