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A Comprehensive Parametric Modelling for Mixed Convection Film Boiling Analysis on a Vertical Flat Plate

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Two-Phase Flow for Automotive and Power Generation Sectors

Part of the book series: Energy, Environment, and Sustainability ((ENENSU))

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Abstract

A comparative assessment of existing instability models is carried out to find the appropriate length scale in a computationally inexpensive integral model predicting the heat transfer in film boiling over a vertical flat plate. The use of Kelvin–Helmholtz criterion shows good matching to the limited number of experimental data, whereas for high liquid flow velocity the critical film Reynolds number criterion is found as the best. A generalized model covering the range of both the models is then developed by employing a regression analysis. The generalized model is shown to remain accurate within 10% band over a wide range of parameters.

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Abbreviations

\( g \) :

Acceleration due to gravity

\( h_{av} \) :

Average heat transfer coefficient

\( h_{\text{conv}} \); \( \bar{h}_{\text{conv}} \):

Convective heat transfer coefficient; averaged

\( h_{fg} \) :

Latent heat of evaporation

\( j \) :

Mass flux

Ja sub :

Liquid-phase subcooling Jakob number \( = c_{pl} (T_{\text{sat}} - T_{\infty } )/h_{fg} \)

Ja sup :

Vapour-phase superheat Jakob number \( = c_{pv} (T_{w} - T_{\text{sat}} )/h_{fg} \)

\( k \) :

Thermal conductivity

\( L_{\lambda } \) :

Instability length scale

\( L_{\lambda - KH} \) :

Kelvin–Helmholtz instability length scale

\( L_{\lambda - FRN} \) :

Length scale based on film Reynolds number

\( L_{c} \) :

Characteristic length scale

\( L_{\text{reg}} \) :

Regression length

\( \bar{L}_{\text{reg}} \) :

Non-dimensional regression length

p :

Pressure

Re l :

Liquid-phase Reynolds number = (u∞Lc)/νl

T :

Temperature

u, v:

Velocity components

x, y:

Coordinates

α :

Thermal diffusivity

β :

Coefficient of volumetric thermal expansion

δ :

Vapour film thickness

δ l :

Liquid momentum boundary layer thickness

δ t :

Liquid thermal boundary layer thickness

ε :

Emissivity

μ :

Dynamic viscosity

ν:

Kinematic viscosity

ρ :

Density

σ; σt:

Stefan–Boltzmann constant; surface tension

eq:

Equivalent

l :

Liquid

sat:

Saturation value

w :

Wall of the plate

i :

Interface

r :

Radiation

v :

Vapour

∞:

Free stream value

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Acknowledgements

The financial support provided for this work by CSIR, India, and BARC, Mumbai, India, is gratefully acknowledged. The authors express their gratitude towards Deb Mukhopadhyay, RSD, BARC, Mumbai, India, for his encouragement and support in film boiling research.

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Authors and Affiliations

  1. Department of Mechanical Engineering, National Institute of Technology, Agartala, 799046, Tripura, India

    Dipak Chandra Das

  2. Department of Mechanical Engineering, Jadavpur University, Kolkata, 700032, India

    Koushik Ghosh & Dipankar Sanyal

Authors
  1. Dipak Chandra Das
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  2. Koushik Ghosh
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  3. Dipankar Sanyal
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Corresponding author

Correspondence to Dipankar Sanyal .

Editor information

Editors and Affiliations

  1. Centre for Energy Studies, Indian Institute of Technology Delhi, New Delhi, India

    Kaushik Saha

  2. Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India

    Avinash Kumar Agarwal

  3. Department of Mechanical Engineering, Jadavpur University, Kolkata, India

    Koushik Ghosh

  4. Argonne National Laboratory, Lemont, IL, USA

    Sibendu Som

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Das, D.C., Ghosh, K., Sanyal, D. (2019). A Comprehensive Parametric Modelling for Mixed Convection Film Boiling Analysis on a Vertical Flat Plate. In: Saha, K., Kumar Agarwal, A., Ghosh, K., Som, S. (eds) Two-Phase Flow for Automotive and Power Generation Sectors. Energy, Environment, and Sustainability. Springer, Singapore. https://doi.org/10.1007/978-981-13-3256-2_14

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  • DOI: https://doi.org/10.1007/978-981-13-3256-2_14

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  • Print ISBN: 978-981-13-3255-5

  • Online ISBN: 978-981-13-3256-2

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