The Process of Heat Transfer by Natural Convection in a Square Enclosure the Temperature of One of Whose Walls Varies by Sine Law

Зубков, П. Т.; Kanashina, M. V.; Kalabin, E. V.

doi:10.1023/b:hite.0000020099.21583.0e

High Temperature

2004

DOI: 10.1023/b:hite.0000020099.21583.0e

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The Process of Heat Transfer by Natural Convection in a Square Enclosure the Temperature of One of Whose Walls Varies by Sine Law

П. Т. Зубков

M. V. Kanashina

E. V. Kalabin

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2024

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Numerical study of the mechanical stability of the flow under the conditions of natural convection

Tomchik,

Zubkov,

Kislitsin

2024

TSU Herald. Phys Math Model. Oil, Gas, Energy

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Studying the stability of natural convection remains relevant in many areas of modern science: astrophysics, meteorology, thermal physics, nuclear power engineering, and machine learning, among others. One of such research areas is numerical modeling of convection during the changes in the flow regime of a liquid or gas. The article presents a detailed modeling of single- and double-vortex flow regimes of an incompressible fluid in a square region divided by a computational grid with an even and odd number of nodes. Transitions between these flow regimes are modeled when a disturbance is introduced into certain grid nodes. At start, the fluid is at rest; over time, during the heat transfer from the hot side of the square region, natural convection of the fluid begins, which forms under of one or more vortices of a laminar flow under certain conditions. The study has shown that as for the mechanical stability, the effect of the transition from a double-vortex to a single-vortex flow was observed when a disturbance source in the form of a multiple increase in temperature was introduced at the start. The authors have used a mathematical model of natural convection in the Boussinesq approximation; the calculations were performed until a steady-state flow regime was reached. The modeling results obtained for computational grids 20 × 20 and 21 × 21 control volumes are presented on graphs as pressure and temperature fields, velocity projections on coordinate axes, and streamline images.

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Numerical study of the mechanical stability of the flow under the conditions of natural convection

Tomchik,

Zubkov,

Kislitsin

2024

TSU Herald. Phys Math Model. Oil, Gas, Energy

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

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The Process of Heat Transfer by Natural Convection in a Square Enclosure the Temperature of One of Whose Walls Varies by Sine Law

Cited by 1 publication

References 5 publications

Numerical study of the mechanical stability of the flow under the conditions of natural convection

Numerical study of the mechanical stability of the flow under the conditions of natural convection

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