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Simulation of ferrofluid flow boiling in helical tubes using two-fluid model

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Abstract

In this paper, the effects of the variations of the coil pitch and coil diameter on ferrofluid flow boiling characteristics inside helical tubes have been investigated using two-fluid model and control volume technique. The effects of the non-uniform magnetic field on the ferrofluid flow boiling inside helical tubes have also been studied. The results indicated showed that decreasing the coil diameter enhances the heat transfer coefficient. This is due to the effect of centrifugal force which is increased by decreasing the coil diameter. Also, the results confirmed the dual role of the centrifugal force on heat transfer (increase) and vapor volume fraction (decrease) and at the same time remarkable increasing of locally void fraction on heated wall and raising possibility of occurrence of CHF. In addition, the improvement of surface wettability which is induced by nanoparticles sedimentation during the boiling process has been considered. Results showed the reduction of the void fraction. The application of a magnetic field at critical regions resulted in the bubble departure diameter and vapor volume fraction generation reduction. Consequently, the critical heat flux is increased.

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Abbreviations

A lv :

Interphase contact area(m−1.)

PCD:

Pitch circle diameter(m)

A Q :

Wall fraction influenced by nucleating bubbles

c p :

Specific heat capacity(J kg−1K−1)

d b :

Bubble mean diameter(m)

d bW :

Bubble departure diameter (m)

f :

Frequency (S−1)

\( \overrightarrow{f_D} \) :

Drag force (N)

\( \overrightarrow{f_L} \) :

Lift force (N)

\( \overrightarrow{f_W} \) :

Wall lubrication force (N)

\( \overrightarrow{f_{TD}} \) :

Turbulent dispersion force(N)

\( \overrightarrow{f_{VM}} \) :

Virtual mass force (N)

H lv :

Difference between specific enthalpies (J kg−1)

h C :

Liquid single-phase heat transfer coefficient (W m−2 K−1)

\( \overrightarrow{H} \) :

Magnetic field vector (A m−1)

H x :

Magnetic field intensity component in x direction (A m−1)

H y :

Magnetic field intensity component in y direction (A m−1)

I:

Electric intensity(=200 A)

k l :

Liquid thermal conductivity (W m−1 K−1)

k B :

Boltzmann constant(=1.3806503 × 10−23 J K−1)

L:

Langevin function

M:

Magnetization (A m−1)

m p :

Particle magnetic moment (A m2)

N a :

Active nucleation site density(m−2)

P:

Coil Pitch(m)

q T :

Total heat flux (W m−2)

q Q :

Quenching heat flux (W m−2)

q C :

Single-phase convection heat flux (W m−2)

q E :

Evaporation heat flux (W m−2)

D :

Inner Diameter(m)

T :

Temperature(K)

u :

Velocity (m s−1)

α :

Void fraction

ρ :

Density (kg m−3)

μ l :

Liquid dynamic viscosity (kg m−1s−1)

μ 0 :

Magnetic permeability in vacuum (=4π × 10−7 T m A−1)

μ B :

Bohr magneton(=9.27 × 10−24 A m−2)

ξ :

Langevin parameter

b :

Bubble

l :

Liquid

m :

Mean

v :

Vapor

p:

Particle

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Author information

Authors and Affiliations

  1. Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran

    M. Saedi & H. Aminfar

  2. Faculty of Chemical and Petroleum Engineering, University of Tabriz, Tabriz, 5166616471, Iran

    M. Mohammadpourfard

  3. Departement of Mechanical Engineering, Faculty of Mechanical Engineering, University of Maragheh, Maragheh, Iran

    R. Maroofiazar

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  1. M. Saedi
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  2. H. Aminfar
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  3. M. Mohammadpourfard
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  4. R. Maroofiazar
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Correspondence to M. Mohammadpourfard.

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The original version of this article was revised: The family name of the fourth author should be Maroofiazar instead of Maroofi.

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Saedi, M., Aminfar, H., Mohammadpourfard, M. et al. Simulation of ferrofluid flow boiling in helical tubes using two-fluid model. Heat Mass Transfer 55, 133–148 (2019). https://doi.org/10.1007/s00231-018-2400-9

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  • DOI: https://doi.org/10.1007/s00231-018-2400-9

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