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Heat Transfer Enhancement of Pulsating Flow in an Open Cavity Subjected to Uniform Magnetic Field

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Abstract

The present numerical work is devoted to the effect of an external magnetic field on a pulsating flow through an open cavity in a horizontal channel. The cavity is heated uniformly from the bottom wall. The finite volume method is used to solve the energy and Navier—Stokes equations. At the inlet of the channel flow pulsations are produced by adding a sinusoidal component to the velocity. The investigation is conducted for different Strouhal (0 ≤ St ≤1), Richardson (0.25 ≤ Ri ≤1), and Hartmann numbers (0 ≤ Ha ≤50) and for various aspect ratios of the cavity (L/H = 1, 1.5, and 2) at a pulsation amplitude A = 0.1. Various characteristics of the flow, such as isotherms, streamlines, and average and normalized Nusselt numbers are presented. The results indicate that the influence of the external magnetic field on the temperature distribution, flow field, heat transfer mode, and heat transfer enhancement rate vary with the Hartmann number. The effect of pulsations on the heat transfer enhancement is well correlated with the magnetic field intensity, Richardson number, and aspect ratio of the cavity.

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Abbreviations

A :

Amplitude of pulsation

B 0 :

Magnetic field magnitude

c p :

Specific heat (J/kg K)

f :

Pulsation frequency (Hz)

g :

Gravitational acceleration (m/s2)

Gr :

Grashof number, gβ(TH − TC)H3/v3

h :

Coefficient of heat transfer (W/m2 K)

H :

Height of the cavity (m)

Ha :

Hartmann number, \({B_0}H\sqrt {{{\rm{\sigma }} \over {\rm{\mu }}}} \)

k :

Thermal conductivity (W/mK)

l :

Length of the channel (m)

L :

Length of the cavity (m)

u 0 :

Velocity at the entrance (m/s)

U, V :

Non-dimensional velocity, u/u0, v/u0

x, y :

Coordinates (m)

X, Y :

Non-dimensional coordinates, x/H, y/H Greek symbols

α:

Thermal diffusivity (m2/s)

β:

Coefficient of thermal expansion (1/K)

ε:

Dynamic viscosity (kg/ms)

ν:

Kinematic viscosity (m2/s)

ρ:

Density (kg/m3)

θ:

Non-dimensional temperature, (T − TC)/(TH − TC)

ψ:

Non-dimensional stream function

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Authors and Affiliations

  1. Faculty of Sciences of Tunis, Laboratory of Energy, Heat and Mass Transfer (LETTM), Department of Physics, El Manar University, El Manar, 2092, Tunisia

    F. Zamzari, Z. Mehrez & A. El Cafsi

Authors
  1. F. Zamzari
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  2. Z. Mehrez
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  3. A. El Cafsi
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Correspondence to F. Zamzari or Z. Mehrez.

Additional information

Russian Text © The Author(s), 2019, published in Izvestiya RAN. Mekhanika Zhidkosti i Gaza, 2019, No. 3, pp. 138–149.

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Zamzari, F., Mehrez, Z. & El Cafsi, A. Heat Transfer Enhancement of Pulsating Flow in an Open Cavity Subjected to Uniform Magnetic Field. Fluid Dyn 54, 428–438 (2019). https://doi.org/10.1134/S0015462819020149

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  • DOI: https://doi.org/10.1134/S0015462819020149

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