Radiation effect on conjugate turbulent natural convection in a cavity with a discrete heater

Igor V. Miroshnichenko, Mikhail A. Sheremet

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A numerical study of a conjugate turbulent natural convection with thermal surface radiation inside a square cavity with heat-conducting solid walls and a local heat source has been performed. Two-dimensional equations for conservation of mass, momentum and energy using k–ε turbulence model with a heat conduction equation inside the solid walls and corresponding boundary conditions have been solved using the finite difference method. The developed numerical method can be widely used in some engineering problems, such as the simulation of heat and mass transfer in heat-generating elements in power engineering. Discrete heater has been simulated by a heat source of constant temperature centrally located on the bottom wall. Numerical solutions have been obtained for Ra = 109 and different values of surface emissivity (0≤ɛ˜<1) and thermal conductivity ratio (10 ≤ λ1,2 ≤ 1000). It has been found that an increase in surface emissivity and thermal conductivity ratio leads to a growth of the average total Nusselt number, while a rise of surface emissivity only illustrates a reduction of the average convective Nusselt number. The obtained numerical results are useful for predicting the convective and radiative heat transfer in domain similar to the one under consideration.

Original languageEnglish
Pages (from-to)1339-1351
Number of pages13
JournalApplied Mathematics and Computation
Volume321
DOIs
Publication statusPublished - 15 Mar 2018

Fingerprint

Radiation Effects
Radiation effects
Natural Convection
Natural convection
Emissivity
Cavity
Nusselt number
Heat Source
Thermal Conductivity
Heat
Engineering
Thermal conductivity
Radiative Heat Transfer
Convective Heat Transfer
Heat Conduction Equation
Heat and Mass Transfer
Heat transfer
Turbulence Model
Difference Method
Conservation

Keywords

  • Finite difference method
  • Heat conduction
  • Local heater
  • Solid walls
  • Surface radiation
  • Turbulent natural convection

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

Cite this

Radiation effect on conjugate turbulent natural convection in a cavity with a discrete heater. / Miroshnichenko, Igor V.; Sheremet, Mikhail A.

In: Applied Mathematics and Computation, Vol. 321, 15.03.2018, p. 1339-1351.

Research output: Contribution to journalArticle

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N2 - A numerical study of a conjugate turbulent natural convection with thermal surface radiation inside a square cavity with heat-conducting solid walls and a local heat source has been performed. Two-dimensional equations for conservation of mass, momentum and energy using k–ε turbulence model with a heat conduction equation inside the solid walls and corresponding boundary conditions have been solved using the finite difference method. The developed numerical method can be widely used in some engineering problems, such as the simulation of heat and mass transfer in heat-generating elements in power engineering. Discrete heater has been simulated by a heat source of constant temperature centrally located on the bottom wall. Numerical solutions have been obtained for Ra = 109 and different values of surface emissivity (0≤ɛ˜<1) and thermal conductivity ratio (10 ≤ λ1,2 ≤ 1000). It has been found that an increase in surface emissivity and thermal conductivity ratio leads to a growth of the average total Nusselt number, while a rise of surface emissivity only illustrates a reduction of the average convective Nusselt number. The obtained numerical results are useful for predicting the convective and radiative heat transfer in domain similar to the one under consideration.

AB - A numerical study of a conjugate turbulent natural convection with thermal surface radiation inside a square cavity with heat-conducting solid walls and a local heat source has been performed. Two-dimensional equations for conservation of mass, momentum and energy using k–ε turbulence model with a heat conduction equation inside the solid walls and corresponding boundary conditions have been solved using the finite difference method. The developed numerical method can be widely used in some engineering problems, such as the simulation of heat and mass transfer in heat-generating elements in power engineering. Discrete heater has been simulated by a heat source of constant temperature centrally located on the bottom wall. Numerical solutions have been obtained for Ra = 109 and different values of surface emissivity (0≤ɛ˜<1) and thermal conductivity ratio (10 ≤ λ1,2 ≤ 1000). It has been found that an increase in surface emissivity and thermal conductivity ratio leads to a growth of the average total Nusselt number, while a rise of surface emissivity only illustrates a reduction of the average convective Nusselt number. The obtained numerical results are useful for predicting the convective and radiative heat transfer in domain similar to the one under consideration.

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