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Magnetic field effects on melting and solidification of PCMs in an isosceles triangular cavity

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Abstract

In the present study, the effects of a magnetic field on melting and solidification processes in an isosceles triangular cavity are numerically investigated, using a finite volume method along with an enthalpy-porosity technique. The magnetic field effects (magnitude and direction) on streamlines, isotherms, liquid fraction, and heat transfer are analyzed for Ra = 106 and a wide range of Hartmann number (0 ≤ Ha ≤ 100). As main outcomes, it is observed that contrary to the general trend, the strongest fluid flow stabilization is obtained when the magnetic field is directed parallel to the heated wall. When the magnetic field is horizontally and vertically oriented, the complete melting time is increased by 32.5% and 5.5%, respectively. It is found that the influence of the magnetic field is prominent and reaches a maximum value only during an intermediate stage of melting. Moreover, it is observed that the solidification process is not dependent on the magnetic field direction and magnitude. The complete time of melting at Ha = 100 is almost equal to the time of complete solidification.

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Abbreviations

A mush :

Mushy zone constant (kg m−3 s−1)

B :

Magnetic field strength (G)

c p :

Specific heat capacity(J kg−1 K−1)

f :

Liquid fraction (−)

g :

Gravitational acceleration (m s−2)

h :

Sensible enthalpy (J kg−1)

H:

Enthalpy (J kg−1)

Ha:

Hartmann number (−), \(Ha = \beta_{l} L\sqrt {\sigma_{l} /\mu_{l} }\)

k :

Thermal conductivity (W m−1 K−1)

L f :

Latent heat of fusion (J kg−1)

Nu:

Nusselt number (−)

P :

Pressure (Pa)

Pr:

Prandtl number (−), \(\Pr = \mu_{l} C_{{\text{p}}} /k_{l}\)

Ra:

Rayleigh number (−), \(Ra = g\rho_{l} \beta_{l} (T_{{\text{H}}} - T_{{\text{m}}} )L^{3} /\mu_{l} \alpha_{l}\)

t :

Time (s)

T :

Temperature (K)

T m :

Melting temperature (K)

x,y:

Cartesian coordinates (m)

U,V:

Velocity components (m.s−1

μ :

Viscosity (kg m−1 s−1)

σ:

Electrical conductivity (A V m−1)

α :

Thermal diffusivity (m2 s−1)

β :

Thermal expansion coefficient (K−1)

φ :

Magnetic field inclination (°)

ρ :

Fluid density (kg m−3)

μ :

Viscosity (kg.m−1 s−1

C:

Cold

H:

Hot

l:

Liquid

s:

Solid

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Authors and Affiliations

  1. Institut de Génie Électrique et Électronique, Université M’Hamed BOUGARA de Boumerdes, Boumerdes, Algeria

    Zoubida Haddad

  2. Laboratoire Génie Physique des Hydrocarbures, Faculté des Hydrocarbures et de la Chimie, Université M’Hamed Bougara de Boumerdes, Boumerdes, Algeria

    Farida Iachachene

  3. Department of Fluid Mechanics, Faculty of Physics, University of Sciences and Technology- Houari Boumediene, Algiers, Algeria

    Faiza Zidouni

  4. Department of Mechanical Engineering, Technology Faculty, Firat University, 23119, Elazig, Turkey

    Hakan F. Oztop

Authors
  1. Zoubida Haddad
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  4. Hakan F. Oztop
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Haddad, Z., Iachachene, F., Zidouni, F. et al. Magnetic field effects on melting and solidification of PCMs in an isosceles triangular cavity. J Therm Anal Calorim 147, 4697–4709 (2022). https://doi.org/10.1007/s10973-021-10857-5

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