Natural convection in an inclined cavity with time-periodic temperature boundary conditions using nanofluids

Application in solar collectors

M. A. Sheremet, I. Pop, O. Mahian

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

Natural convection of alumina-water nanofluid inside a square cavity with time-sinusoidal temperature is studied numerically. The domain of interest is an inclined square cavity having isothermal wall at x¯=L, while temperature of the wall x¯=0 is changed as a sinusoidal function of time, other walls are adiabatic. Dimensionless governing equations formulated using stream function, vorticity and temperature have been solved by finite difference method of the second order accuracy. The effects of Rayleigh number, oscillating frequency, cavity inclination angle and nanoparticles volume fraction on fluid flow and heat transfer have been analyzed. It has been found that a growth of boundary temperature oscillating frequency leads to an increase in the average Nusselt number oscillation amplitude and reduction of oscillation period. At the same time, the boundary temperature oscillating frequency is a very good control parameter that allows to intensify convective flow and heat transfer.

Original languageEnglish
Pages (from-to)751-761
Number of pages11
JournalInternational Journal of Heat and Mass Transfer
Volume116
DOIs
Publication statusPublished - 1 Jan 2018

Fingerprint

solar collectors
Solar collectors
Natural convection
free convection
Boundary conditions
boundary conditions
cavities
Temperature
heat transfer
temperature
Heat transfer
oscillations
Aluminum Oxide
convective flow
Rayleigh number
Nusselt number
Vorticity
Finite difference method
vorticity
fluid flow

Keywords

  • Inclined cavity
  • Nanofluid
  • Natural convection
  • Numerical simulation
  • Time-varying side wall temperature

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

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abstract = "Natural convection of alumina-water nanofluid inside a square cavity with time-sinusoidal temperature is studied numerically. The domain of interest is an inclined square cavity having isothermal wall at x¯=L, while temperature of the wall x¯=0 is changed as a sinusoidal function of time, other walls are adiabatic. Dimensionless governing equations formulated using stream function, vorticity and temperature have been solved by finite difference method of the second order accuracy. The effects of Rayleigh number, oscillating frequency, cavity inclination angle and nanoparticles volume fraction on fluid flow and heat transfer have been analyzed. It has been found that a growth of boundary temperature oscillating frequency leads to an increase in the average Nusselt number oscillation amplitude and reduction of oscillation period. At the same time, the boundary temperature oscillating frequency is a very good control parameter that allows to intensify convective flow and heat transfer.",
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T1 - Natural convection in an inclined cavity with time-periodic temperature boundary conditions using nanofluids

T2 - Application in solar collectors

AU - Sheremet, M. A.

AU - Pop, I.

AU - Mahian, O.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - Natural convection of alumina-water nanofluid inside a square cavity with time-sinusoidal temperature is studied numerically. The domain of interest is an inclined square cavity having isothermal wall at x¯=L, while temperature of the wall x¯=0 is changed as a sinusoidal function of time, other walls are adiabatic. Dimensionless governing equations formulated using stream function, vorticity and temperature have been solved by finite difference method of the second order accuracy. The effects of Rayleigh number, oscillating frequency, cavity inclination angle and nanoparticles volume fraction on fluid flow and heat transfer have been analyzed. It has been found that a growth of boundary temperature oscillating frequency leads to an increase in the average Nusselt number oscillation amplitude and reduction of oscillation period. At the same time, the boundary temperature oscillating frequency is a very good control parameter that allows to intensify convective flow and heat transfer.

AB - Natural convection of alumina-water nanofluid inside a square cavity with time-sinusoidal temperature is studied numerically. The domain of interest is an inclined square cavity having isothermal wall at x¯=L, while temperature of the wall x¯=0 is changed as a sinusoidal function of time, other walls are adiabatic. Dimensionless governing equations formulated using stream function, vorticity and temperature have been solved by finite difference method of the second order accuracy. The effects of Rayleigh number, oscillating frequency, cavity inclination angle and nanoparticles volume fraction on fluid flow and heat transfer have been analyzed. It has been found that a growth of boundary temperature oscillating frequency leads to an increase in the average Nusselt number oscillation amplitude and reduction of oscillation period. At the same time, the boundary temperature oscillating frequency is a very good control parameter that allows to intensify convective flow and heat transfer.

KW - Inclined cavity

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KW - Natural convection

KW - Numerical simulation

KW - Time-varying side wall temperature

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