Skip to main content

Numerical Study of Cryogenic Transfer Line Under Conjugate Conditions

  • Conference paper
  • First Online:
Fluid Mechanics and Fluid Power, Volume 6 (FMFP 2022)

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

Included in the following conference series:

  • 118 Accesses

Abstract

Conjugate heat transfer plays a vital role in a thermal system, which can alter the actual thermal condition at the solid–fluid interface. Thus, it can affect the thermal performance of a thermal system. Because of this, a three-dimensional numerical study of the cryogenic transfer line is undertaken where the transfer line is subjected to constant heat flux on the outer walls of the transfer line. The fluid and inner wall temperatures are evaluated at various axial positions of the model to monitor the chill down process by varying flow Reynolds number (Re ~ 200–1000). A comparative study is presented on the cold insulation materials with different grades of pipe materials for variable pipe wall to fluid thermal conductivity ratios (ksf ~ 88.95 – 2722.72) to determine whether a particular pipe material is suitable or not, as well as the existence of axial wall conduction. Based on the outcome of the study, the effectiveness of thermal stability is validated: When Re is increased, the temperature at the outflow ranges from 78 to 83 K. For a specific value of ksf, there is an excellent value of the average Nusselt number that reduces the presence of axial wall conduction. It is revealed that when working fluid flow Re increases, the average Nu increases due to longer thermal development length with varying thermal conductivity of materials.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Abbreviations

Dh:

Hydraulic diameter of the pipe [m]

hz:

Local heat transfer coefficient [W/m2K]

ks:

Thermal conductivity of the pipe [W/mK]

kf:

Thermal conductivity of the working fluid [W/mK]

ksf:

Ratio of thermal conductivity of the pipe and thermal conductivity of the working fluid [W/mK]

L:

Length of the pipe [m]

Nuz:

Local Nusselt number [–]

Nuavg:

Average Nusselt number over the pipe length [–]

Pr:

Prandtl number [–]

q″:

Heat flux applied at the outer wall surface of the insulation [W/m2]

\(q_{{{\text{int}}}}^{\prime\prime}\):

Heat flux at the interface of the pipe [W/m2]

Re:

Reynolds number [–]

T:

Temperature [K]

To:

Ambient temperature [K]

tf:

Thickness of the fluid [m]

tins:

Thickness of the insulation [m]

t:

Ratio of total thickness to the thickness of the fluid (to/tf) [–]

v:

Average fluid velocity at inlet of the pipe [m/s]

z:

Axial length along the length of the pipe [mm]

z*:

Non-dimensional axial distance along the pipe length [–]

ρ:

Density [kg/m3]

µ:

Dynamic viscosity [Ns/m2]

Φ:

Non-dimensional heat flux [–]

Θ:

Non-dimensional temperature [–]

f:

Fluid [–]

i:

Inlet conditions, inner [–]

int:

Interface [–]

o:

Outlet conditions, outer [–]

s:

Solid [–]

w:

Inner wall surface [–]

References

  1. Rusinski E, Chorowsk M, Iluk A, Fydrych J, Malcher K (2014) Selected aspects related to the calculations and design of a cryogenic transfer line. Arch Civ Mech Eng 14:231–241

    Article  Google Scholar 

  2. Darr SR, Hu H, Glikin NG, Hartwig JW, Majumdar AK, Leclair AC, Chung JN (2016) An experimental study on terrestrial cryogenic transfer line chill down. Effect of mass flux, equilibrium quality, and inlet sub cooling. Int J Heat Mass Transf 103:1225–1245

    Article  Google Scholar 

  3. Moharana MK, Singh PK, Khandekar S (2012) Optimum Nusselt number for simultaneously developing internal flow under conjugate conditions in a square microchannel. J Heat Transf 134(7):071703, 01–10

    Google Scholar 

  4. Jin L, Lee J, Jeong S (2020) Investigation on heat transfer in line chill-down process with various cryogenic fluids. Int J Heat Mass Transf 150:119–204

    Article  Google Scholar 

  5. Kim T, Kim Y, Kim SK (2011) Numerical study of cryogenic liquid nitrogen jets at supercritical pressures. J Supercrit Fluids 56:152–163

    Article  Google Scholar 

  6. Mohammed J, Mohizin A, Roy KER (2020) Experimental investigations on transient cryogenic chill down of a short horizontal copper transfer line. Sadhana 45(12):01–10

    Google Scholar 

  7. Johnson J, Shine SR (2015) Transient cryogenic chill down process in horizontal and inclined pipes. Cryogenics 71:07–17

    Article  Google Scholar 

  8. Hu H, Chung JN, Amber SH (2012) An experimental study on flow patterns and heat transfer characteristics during cryogenic chill down in a vertical pipe. Cryogenics 52:268–277

    Article  Google Scholar 

  9. Mohammed J, Mohizin A, Sasikumar S, Kafle S, Shameer M, Roy KER (2018) Experimental investigations on helical and straight cryogenic transfer lines under different mass flux. Int J Sci Eng Res 9(5):698–703

    Google Scholar 

  10. Tiwari N, Moharana MK (2021) Effect of conjugate heat transfer in single-phase laminar flow through partially heated microtubes. Sadhana 46(28):01–12

    MathSciNet  Google Scholar 

  11. Lee PS, Garimella SV (2006) Thermally developing flow and heat transfer in rectangular microchannels of different aspect ratios. Int J Heat Mass Transf 49:3060–3067

    Article  Google Scholar 

  12. Bai X, Yi Y, Liu C, Zhang W, Nakayama A (2021) A simple conjugate analysis and its comparison with experiment for heat transfer problems associated with hot gas flows in a partially transpiration-cooled channel. Int J Heat Mass Transf 165(120729):01–09

    Google Scholar 

  13. Li Z, He YL, Tang GH, Tao WQ (2007) Experimental and numerical studies of liquid flow and heat transfer in microtubes. Int J Heat Mass Transf 50:3447–3460

    Article  Google Scholar 

  14. Al-Ajlan SA (2006) Measurements of thermal properties of insulations materials by using transient plane source technique. Appl Therm Eng 26:2184–2191

    Article  Google Scholar 

  15. Kim CS (1975) Thermophysical properties of stainless steel. Argonne National Laboratory, National Technical Information Service, United States Department of Commerce, Illinois, USA

    Google Scholar 

  16. Weisend JG, Flynn TM (2016) Cryostat design: case studies, principles and engineering. Springer International Publishing, Cham, Switzerland

    Google Scholar 

Download references

Acknowledgements

The authors herein acknowledge the Data Center, National Institute of Technology Rourkela, Odisha, India, for providing the high-performance computing (HPC) facility to carry out this research work.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Manoj Kumar Moharana .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Vijesh, K.K., Moharana, M.K. (2024). Numerical Study of Cryogenic Transfer Line Under Conjugate Conditions. In: Singh, K.M., Dutta, S., Subudhi, S., Singh, N.K. (eds) Fluid Mechanics and Fluid Power, Volume 6. FMFP 2022. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-99-5755-2_52

Download citation

  • DOI: https://doi.org/10.1007/978-981-99-5755-2_52

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-5754-5

  • Online ISBN: 978-981-99-5755-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics