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Magnetic field effects on natural convection flow of a non-Newtonian fluid in an L-shaped enclosure

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Abstract

The effect of magnetic field on natural convection heat transfer in an L-shaped enclosure filled with a non-Newtonian fluid is investigated numerically. The governing equations are solved by finite-volume method using the SIMPLE algorithm. The power-law rheological model is used to characterize the non-Newtonian fluid behavior. It is revealed that heat transfer rate decreases for shear-thinning fluids (of power-law index, n < 1) and increases for shear-thickening fluids (n > 1) in comparison with the Newtonian ones. Thermal behavior of shear-thinning and shear-thickening fluids is similar to that of Newtonian fluids for the angle of enclosure α < 60° and α > 60°, respectively.

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Abbreviations

AR:

Aspect ratio

B o :

Magnetic induction (T)

g :

Gravitational acceleration (m s−2)

Ha:

Hartmann number

K :

Thermal conductivity (W m−1 K−1)

L :

Specific length (m)

n :

Power-law index

Nu:

Local Nusselt number

P :

Pressure (Pa)

Pr:

Prandtl number

Ra:

Rayleigh number

Re:

Reynolds number

T :

Wall temperature (K)

u :

Velocity in x-direction (m s−1)

v :

Velocity in y-direction (m s−1)

U :

Dimensionless velocity in x-direction

V :

Dimensionless velocity in y-direction

x :

Distance along x-coordinate

y :

Distance along y-coordinate

β :

Thermal expansion coefficient (k−1)

μ :

Dynamic viscosity (kg m−1 s−1)

ρ :

Density (kg m−3)

θ :

Dimensionless temperature

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Authors and Affiliations

  1. Department of Mechanical Engineering, Shahrekord University, Shahrekord, Iran

    Akram Jahanbakhshi, Afshin Ahmadi Nadooshan & Morteza Bayareh

Authors
  1. Akram Jahanbakhshi
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  2. Afshin Ahmadi Nadooshan
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  3. Morteza Bayareh
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Correspondence to Morteza Bayareh.

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Jahanbakhshi, A., Nadooshan, A.A. & Bayareh, M. Magnetic field effects on natural convection flow of a non-Newtonian fluid in an L-shaped enclosure. J Therm Anal Calorim 133, 1407–1416 (2018). https://doi.org/10.1007/s10973-018-7219-6

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  • DOI: https://doi.org/10.1007/s10973-018-7219-6

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