MHD free convection in a wavy open porous tall cavity filled with nanofluids under an effect of corner heater

M. A. Sheremet, H. F. Oztop, I. Pop, K. Al-Salem

Research output: Contribution to journalArticle

64 Citations (Scopus)

Abstract

A numerical analysis of MHD natural convection in a wavy open porous tall cavity filled with a Cu–water nanofluid in the presence of an isothermal corner heater has been carried out. The cavity is cooled from the left wavy wall and heated from the right bottom corner while the bottom wall is adiabatic. Uniform magnetic field affects the heat transfer and fluid flow with an inclination angle to the axis x¯. Mathematical model formulated using the single-phase nanofluid approach in dimensionless variables stream function, vorticity and temperature has been solved by finite difference method of the second order accuracy in a wide range of governing parameters: Rayleigh number (Ra = 100–1000), Hartmann number (Ha = 0–100), inclination angle of the magnetic field (γ = 0–π) and solid volume fraction parameter of nanoparticles (φ = 0.0–0.05). Main efforts have been focused on the effects of these parameters on the fluid flow and heat transfer inside the cavity. Numerical results have been presented in the form of streamlines, isotherms and average Nusselt numbers. It has been found heat transfer enhancement with Rayleigh number and heat transfer reduction with Hartmann number, while magnetic field inclination angle leads to non-monotonic changes of the heat transfer rate.

Original languageEnglish
Pages (from-to)955-964
Number of pages10
JournalInternational Journal of Heat and Mass Transfer
Volume103
DOIs
Publication statusPublished - 1 Dec 2016

Fingerprint

Magnetohydrodynamics
Natural convection
heaters
free convection
heat transfer
Heat transfer
cavities
Hartmann number
inclination
Rayleigh number
Magnetic fields
fluid flow
Flow of fluids
magnetic fields
Nusselt number
Vorticity
Finite difference method
vorticity
numerical analysis
Isotherms

Keywords

  • Corner heater
  • Magnetic field
  • Nanofluid
  • Natural convection
  • Numerical results
  • Open wavy cavity
  • Porous medium

ASJC Scopus subject areas

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

Cite this

MHD free convection in a wavy open porous tall cavity filled with nanofluids under an effect of corner heater. / Sheremet, M. A.; Oztop, H. F.; Pop, I.; Al-Salem, K.

In: International Journal of Heat and Mass Transfer, Vol. 103, 01.12.2016, p. 955-964.

Research output: Contribution to journalArticle

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AB - A numerical analysis of MHD natural convection in a wavy open porous tall cavity filled with a Cu–water nanofluid in the presence of an isothermal corner heater has been carried out. The cavity is cooled from the left wavy wall and heated from the right bottom corner while the bottom wall is adiabatic. Uniform magnetic field affects the heat transfer and fluid flow with an inclination angle to the axis x¯. Mathematical model formulated using the single-phase nanofluid approach in dimensionless variables stream function, vorticity and temperature has been solved by finite difference method of the second order accuracy in a wide range of governing parameters: Rayleigh number (Ra = 100–1000), Hartmann number (Ha = 0–100), inclination angle of the magnetic field (γ = 0–π) and solid volume fraction parameter of nanoparticles (φ = 0.0–0.05). Main efforts have been focused on the effects of these parameters on the fluid flow and heat transfer inside the cavity. Numerical results have been presented in the form of streamlines, isotherms and average Nusselt numbers. It has been found heat transfer enhancement with Rayleigh number and heat transfer reduction with Hartmann number, while magnetic field inclination angle leads to non-monotonic changes of the heat transfer rate.

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KW - Porous medium

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