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Numerical simulation of surface vibration effects on improvement of pool boiling heat transfer characteristics of nanofluid

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Abstract

A numerical scheme for the effects of vibration on nanofluid pool boiling heat transfer was developed. For this purpose, a horizontal flat vibrating heated surface was considered. To model this phase-change phenomenon, the Eulerian-Eulerian approach was employed accompanied by the Rensselaer Polytechnic Institute (RPI) model to estimate the boiling heat flux on a solid surface, based on transient simulation. The k-ε turbulence model was used for simulating the Reynolds stresses appearing in the averaged Navier Stokes equation. The effects of the amplitude and frequency of vibration, nanofluid concentration along with magnitude of the heat flux on pool boiling heat transfer characteristics including heat transfer coefficient (HTC), vapor volume fraction and nanofluid velocity were studied. New analytical correlations for analyzing the heat transfer coefficient and nanofluid velocity based on the wall superheat temperature, amplitude and frequency of vibration were also developed. Results showed that applying mechanical vibration increased the boiling curve slope and the heat transfer coefficient. As a consequence, an increase of up to 30.11% and 17.5% in the heat transfer rate was achieved at lower heat fluxes for higher amplitude and frequency of oscillations, respectively.

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Abbreviations

Atc :

fraction of heater area occupied by bubbles

aif :

interfacial area concentration [m−]

C p :

specific heat [J/kg·K]

y:

height of the pool boiling chamber [m]

dbubble :

bubble diameter [m]

dw :

bubble departure diameter on the wall [m]

F lg :

action of interfacial forces from vapor on liquid [N]

Fgl :

action of interfacial forces from liquid on vapor [N]

f:

bubble departure frequency [Hz]

f vib :

heated wall vibration frequency [Hz]

Y wall :

vibration amplitude

α :

volume fraction

Si :

additional source terms due to coalescence and break age [kg/m3·s]

fi :

scalar fraction related to the number density of the discrete bubble classes

G:

mass flux [kg/m2·s]

Re:

Reynolds number

Pr:

Prandtl number

g:

gravitational constant [m/s2]

H:

specific enthalpy [J/kg]

h:

interfacial heat transfer coefficient [J/kg]

hfg :

specific latent heat of vaporization [J/kg]

k:

conductivity [W7m2·K]

m:

mass [kg]

Na :

active nucleation site density [m2]

P:

pressure [N/m2]

Qc :

heat transfer due to forced convective [W/m2]

Qc :

heat transfer due to forced evaporation [W/m2]

Qtc :

heat transfer due to transient conduction [W/m2]

T:

temperature [K]

Tsup :

wall superheat temperature [K]=Tw−Tsat

Tw :

wall temperature [K]

ΔT:

difference in temperature [K]

t:

time [s]

u:

velocity [m/s]

y+:

non-dimensional distance to the wall

μ :

viscosity [Pa·s]

ρ :

density [kg/m3]

σ :

surface tension [N/m]

Γ lg :

interfacial mass transfer from vapor to liquid [kg/m3·s]

Γ gl :

interfacial mass transfer from liquid to vapor [kg/m3·s]

ϕ:

volume fraction [%]

g:

vapor

l :

liquid

W:

wall

θ:

contact angle [°]

eff:

effective

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Authors and Affiliations

  1. Multiphase Flow Lab, Faculty of Mechanical Engineering, K.N. Toosi University of Technology, No. 17, Pardis St., Mollasadra Ave., Vanak Sq., Tehran, 19395-1999, Iran

    Hasan Alimoradi, Sohrab Zaboli & Mehrzad Shams

Authors
  1. Hasan Alimoradi
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  2. Sohrab Zaboli
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  3. Mehrzad Shams
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Correspondence to Mehrzad Shams.

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Alimoradi, H., Zaboli, S. & Shams, M. Numerical simulation of surface vibration effects on improvement of pool boiling heat transfer characteristics of nanofluid. Korean J. Chem. Eng. 39, 69–85 (2022). https://doi.org/10.1007/s11814-021-0895-0

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  • DOI: https://doi.org/10.1007/s11814-021-0895-0

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