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Numerical Modeling of Liquid Film Cooling Heat Transfer Coupled to Compressible Gas

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Proceedings of the 1st International Conference on Fluid, Thermal and Energy Systems (ICFTES 2022)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

Liquid film cooling is a widely adopted method for restricting the solid wall temperature within allowable limits in a combustor. In most of the earlier works, the hot gas and coolant is treated as incompressible, however, in many practical applications such as in rocket propulsion systems, hot gas is compressible. In this study, a numerical model for coupled heat transfer between the compressible hot combustion gas and the incompressible liquid film injected along the wall is presented. Interface energy balance and mass balance are modeled along with phase change of liquid and diffusion of vapor into the gas flow, to investigate the extent of cooling along the solid wall. Validation of turbulence-based in-house code with literature data for nozzle flow is also included in the study. Effects of initial liquid film thickness, film temperature, film velocity, and vapor mass fraction on wall-cooling are studied. The film cooled length obtained from the present numerical model is compared with experimental results available in the literature.

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Abbreviations

t:

Time (s)

x:

Axial coordinate (m)

r:

Radial coordinate (m)

U:

Conserved variables (–)

F/Fv:

Convective, viscous flux in x (–)

G/Gv:

Convective, viscous flux in r (–)

S:

Source term (–)

k:

Turbulent kinetic energy (m2/s2)

\(\upepsilon \):

Turbulent dissipation rate (m2/s3)

\({\rho }_{l}\):

Liquid density (kg/m3)

\(\delta \):

Film thickness (m)

\(\overline{{u }_{l}}\):

Average liquid velocity (m/s)

\({\dot{m}}_{v}\):

Evaporated mass flux (kg/sm2)

x:

Length of cell (m)

m:

Vapor mass fraction (–)

\(\mu \):

Viscosity (Ns/m2)

\(\sigma \):

Schmidt Number (–)

\({T}_{l}\):

Liquid temperature (K)

L:

Latent heat (J/kg)

\({P}_{v}\):

Vapor pressure (N/m2)

References

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Author information

Authors and Affiliations

  1. Thermal Design Division, VSSC/ISRO, Thiruvananthapuram, 695022, Kerala, India

    Navaneethan Mansu

  2. Department of Mechanical Engineering, IIT Madras, Chennai, 600036, India

    T. Sundararajan

  3. Department of Aerospace Engineering, IIT Madras, Chennai, 600036, India

    T. Jayachandran

Authors
  1. Navaneethan Mansu
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  2. T. Sundararajan
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  3. T. Jayachandran
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Corresponding author

Correspondence to Navaneethan Mansu .

Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, National Institute of Technology Calicut, Calicut, Kerala, India

    Sudev Das

  2. Department of Chemical Engineering, Indian Institute of Technology Hyderabad, Hyderabad, Telangana, India

    Narasimha Mangadoddy

  3. Department of Mechanical Engineering, Stellenbosch University, Stellenbosch, Western Cape, South Africa

    Jaap Hoffmann

Appendix

Appendix

Properties used for coolant

  1. (a)

    Density (kg/m3) = 1000.0

  2. (b)

    Specific heat (J/kg K) = 4179.0

  3. (c)

    Viscosity (Ns/m2) = \(0.00002414 \times {10}^{\left(\frac{247.8}{T-140}\right)}\)

  4. (d)

    Latent heat (J/kg) = \(\left(25-0.2274\times (T-273)\right)\times {10}^{5}\)

In (c) and (d), T is expressed in Kelvin.

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Mansu, N., Sundararajan, T., Jayachandran, T. (2024). Numerical Modeling of Liquid Film Cooling Heat Transfer Coupled to Compressible Gas. In: Das, S., Mangadoddy, N., Hoffmann, J. (eds) Proceedings of the 1st International Conference on Fluid, Thermal and Energy Systems . ICFTES 2022. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-99-5990-7_47

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  • DOI: https://doi.org/10.1007/978-981-99-5990-7_47

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-5989-1

  • Online ISBN: 978-981-99-5990-7

  • eBook Packages: EngineeringEngineering (R0)

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