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Numerical simulation of flow boiling in an orthogonally rotating duct

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Abstract

Numerical predictions of flow boiling in a square tube rotating in vertical direction at a uniform rotating speed are presented. There-dimensional physical model and numerical model were established for simplified problem. Realizable k−ε (RKE) turbulent model was employed to study vapor–liquid two-phase turbulent flow. Heat and mass transfer between vapor and liquid were solved based on volume of fluid multiphase flow model combined with user-defined function. The transient results show that wall superheat at onset of nucleate boiling (ONB) condition in rotating tube is obviously higher than that in stable tube. Based on Jens–Lottes formula of Bowring model, empirical formulas for wall superheat at ONB condition were modified with consideration of Rossby number. As the rotation speed increased, location of ONB shifts to the tube exit. Flow pattern in tube is determined by coupling effect of heating and rotation. Stability of flow pattern is gradually weakened during the increase in rotation speed. The numerical results are in fair agreement with two sets of experimental data for same physical model and working conditions.

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Abbreviations

A :

Tube section area, m2

C pl :

Constant pressure specific heat capacity, J kg−1 K−1

D :

Equivalent diameter of the tube, m

E :

Total energy, J

Fc :

Coriolis force, N. \(Fc = 2\rho \omega \times \overrightarrow {v}\)

Fn :

Centrifugal force, N. \(Fn = \rho \omega \times \left( {\omega \times \overrightarrow {r} } \right)\)

h :

Convective heat transfer coefficient, W m−2 k−1

h fg :

Latent heat of vaporization, J kg−1

k :

Thermal conductivity, W m−1 K−1

L :

Geometric length of the heat transfer surface, m

Nu :

Local Nusselt number, Nu = h·D/k

Nu 0 :

Empirical Nusselt number modified by Dittus–Boelter and McAdams, \(Nu_{0} = 0.023Re^{0.8} Pr^{0.4}\)

p :

Pressure inside the tube, Pa

Pr :

Prandt number

q :

Heat flux on the heated surface, kw m−2

\(q_{\text{onb}}\) :

Wall heat flux density in the ONB condition, kw m−2

r :

Empirical constant reflecting the mass transfer factor

Re :

Reynolds number

Ro :

Rotation number, Ro = Ωd/V

T s :

Saturation temperature of liquid, K

T b :

Average temperature of liquid, K

T w :

Wall temperature, K

ΔTw,ONB :

Wall superheat at ONB condition, K

v g :

Saturated steam specific volume, m3 kg−1

v in :

Inlet speed of water, m s−2

α :

Volume fraction

θ :

Rotation angle, °

ρ :

Density, kg m−3

σ :

Surface tension, N m−1

ω :

Rotating speed of the tube, rad s−1

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Authors and Affiliations

  1. School of Energy and Power Engineering, Northeast Electric Power University, Jilin, 132012, China

    Mingting Wu, Nanjing Gao, Guolong Chen, Xuehang Cui, Hongwei Li, Na Huang, Yanhong Wang, Runhan Miao & Yiliang Dong

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  1. Mingting Wu
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  2. Nanjing Gao
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  3. Guolong Chen
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  4. Xuehang Cui
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  5. Hongwei Li
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Correspondence to Na Huang.

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Wu, M., Gao, N., Chen, G. et al. Numerical simulation of flow boiling in an orthogonally rotating duct. J Therm Anal Calorim 141, 5–14 (2020). https://doi.org/10.1007/s10973-019-08815-3

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