Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube Type Gas Cooler Used in Transcritical CO<sub>2</sub> Refrigeration System

Sandip Patil; Madhu Kasturi; Anil Acharya; Ashok Pise

doi:doi:10.11648/j.ijssam.20170203.11

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Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube Type Gas Cooler Used in Transcritical CO₂ Refrigeration System

Sandip Patil, Madhu Kasturi, Anil Acharya, Ashok Pise

Published in International Journal of Systems Science and Applied Mathematics (Volume 2, Issue 3)

Received: 15 May 2017 Accepted: 25 May 2017 Published: 12 July 2017

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Abstract

This paper is about Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube type Gas Cooler used in Transcritical CO₂ Refrigeration system. Transcritical refrigeration system refers to system whose condenser temperature is above critical temperature of refrigerant. To achieve it, the condenser in conventional refrigeration system is replaced by Gas Cooler where Refrigerant vapour is cooled sensibly without condensation. The gas cooler is used for cooling of refrigerant by using water as coolant. The temperature of refrigerant vapour coming out of compressor in transcritical system is more as compared to conventional refrigerant system. So gas cooler can be effectively used for heating of water. This paper describes a mathematical model that can be used in predicting the heat transfer performance of a shell and tube type Gas Cooler used in transcritical CO₂ refrigeration system. The model uses Kern Method of Heat exchanger design. Given the fluid inlet and outlet temperatures flow rates of fluid & fluid properties the model determines (a) the necessary heat transfer surface area, (b) Outside and inside heat transfer coefficient, (c) overall heat transfer coefficient, (d) Pressure drop on shell and tube side, (e) It also determines mechanical design parameters such as shell O. D, Shell thickness, Tube sheet thickness, Flange thickness.

Published in	International Journal of Systems Science and Applied Mathematics (Volume 2, Issue 3)
DOI	10.11648/j.ijssam.20170203.11
Page(s)	64-69
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Gas Cooler, Transcritical, CO₂, Refrigeration, Tube Sheet Thickness

References

[1]	Y. T. Ge, S. A. Tassou, Dewa Santosa, K. Tsamos “Design optimisation of CO2 gas cooler/condenser in a refrigeration system” science Direct Applied Energy 160 (2015) 973–981.
[2]	V. Perez-Garcia, J. M. Belman-Flores, J. Navarro-Esbri, C. Rubio Maya“Comparative study of transcritical vapor compression configurations Using Carbon dioxide as Refrigeration mode base on simulation” science Direct Applied Thermal Engineering 51 (2013) 1038 e1046.
[3]	Aklilu Tesfamichael Bahetaa, Suhaimi Hassana, Allya Radzihan B Reduana, and Abraham D. Woldeyohannes “Performance investigation of transcritical carbon dioxide refrigeration cycle” ScienceDirect Procedia CIRP 26 (2015) 482 – 485.
[4]	Kenneth B. Madsen, Claus S. Poulsenb, Maike Wiesenfarth “Study of capillary tubes in a transcritical CO2 Refrigeration system” ScienceDirect International Journal of Refrigeration 28 (2005) 1212–1218.
[5]	J M Belman-Flores, Vicente Perez-Garcia, Jean Fulbert Ituna-Yudonago, Jose Luis Rodriguez-Munoz, Jose de Jesus Ramírez-Minguela “General aspects of carbon dioxide as a refrigerant” Journal of Energy in Southern Africa, Vol 25 No 2 May 2014.
[6]	Man-Hoe Kim, Jostein Pettersen, Clark W. Bullard “Fundamental process and system design issues in CO2 vapour compression systems” science Direct Progress in Energy and Combustion Science 30 (2004) 119–174.
[7]	Shigeharu TAIRA “The Development of Heat Pump Water Heaters Using CO2 Refrigerant” DAIKIN Industries, Ltd., 1000-2 Aza-Ohtani, Okamoto-cho, Kusatsu, Shiga 525-8526.
[8]	Charles R. Taylor, P. E. “Carbon Dioxide-Based Refrigerant Systems” ASHRAE Journal September 2002.
[9]	Padalkar A. S, Kadam A. D. “Carbon Dioxide as Natural Refrigerant” International Journal of Applied Engineering Research, Dindigul Volume 1, No 2, 2010.
[10]	C. P. Arora, Refrigeration and Air conditioning, Tata McGraw Hill Publication, New Delhi, 2009.

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APA Style

Sandip Patil, Madhu Kasturi, Anil Acharya, Ashok Pise. (2017). Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube Type Gas Cooler Used in Transcritical CO2 Refrigeration System. International Journal of Systems Science and Applied Mathematics, 2(3), 64-69. https://doi.org/10.11648/j.ijssam.20170203.11

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ACS Style

Sandip Patil; Madhu Kasturi; Anil Acharya; Ashok Pise. Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube Type Gas Cooler Used in Transcritical CO2 Refrigeration System. Int. J. Syst. Sci. Appl. Math. 2017, 2(3), 64-69. doi: 10.11648/j.ijssam.20170203.11

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AMA Style

Sandip Patil, Madhu Kasturi, Anil Acharya, Ashok Pise. Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube Type Gas Cooler Used in Transcritical CO2 Refrigeration System. Int J Syst Sci Appl Math. 2017;2(3):64-69. doi: 10.11648/j.ijssam.20170203.11

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@article{10.11648/j.ijssam.20170203.11,
  author = {Sandip Patil and Madhu Kasturi and Anil Acharya and Ashok Pise},
  title = {Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube Type Gas Cooler Used in Transcritical CO2 Refrigeration System},
  journal = {International Journal of Systems Science and Applied Mathematics},
  volume = {2},
  number = {3},
  pages = {64-69},
  doi = {10.11648/j.ijssam.20170203.11},
  url = {https://doi.org/10.11648/j.ijssam.20170203.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssam.20170203.11},
  abstract = {This paper is about Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube type Gas Cooler used in Transcritical CO2 Refrigeration system. Transcritical refrigeration system refers to system whose condenser temperature is above critical temperature of refrigerant. To achieve it, the condenser in conventional refrigeration system is replaced by Gas Cooler where Refrigerant vapour is cooled sensibly without condensation. The gas cooler is used for cooling of refrigerant by using water as coolant. The temperature of refrigerant vapour coming out of compressor in transcritical system is more as compared to conventional refrigerant system. So gas cooler can be effectively used for heating of water. This paper describes a mathematical model that can be used in predicting the heat transfer performance of a shell and tube type Gas Cooler used in transcritical CO2 refrigeration system. The model uses Kern Method of Heat exchanger design. Given the fluid inlet and outlet temperatures flow rates of fluid & fluid properties the model determines (a) the necessary heat transfer surface area, (b) Outside and inside heat transfer coefficient, (c) overall heat transfer coefficient, (d) Pressure drop on shell and tube side, (e) It also determines mechanical design parameters such as shell O. D, Shell thickness, Tube sheet thickness, Flange thickness.},
 year = {2017}
}

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TY  - JOUR
T1  - Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube Type Gas Cooler Used in Transcritical CO2 Refrigeration System
AU  - Sandip Patil
AU  - Madhu Kasturi
AU  - Anil Acharya
AU  - Ashok Pise
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DO  - 10.11648/j.ijssam.20170203.11
T2  - International Journal of Systems Science and Applied Mathematics
JF  - International Journal of Systems Science and Applied Mathematics
JO  - International Journal of Systems Science and Applied Mathematics
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AB  - This paper is about Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube type Gas Cooler used in Transcritical CO2 Refrigeration system. Transcritical refrigeration system refers to system whose condenser temperature is above critical temperature of refrigerant. To achieve it, the condenser in conventional refrigeration system is replaced by Gas Cooler where Refrigerant vapour is cooled sensibly without condensation. The gas cooler is used for cooling of refrigerant by using water as coolant. The temperature of refrigerant vapour coming out of compressor in transcritical system is more as compared to conventional refrigerant system. So gas cooler can be effectively used for heating of water. This paper describes a mathematical model that can be used in predicting the heat transfer performance of a shell and tube type Gas Cooler used in transcritical CO2 refrigeration system. The model uses Kern Method of Heat exchanger design. Given the fluid inlet and outlet temperatures flow rates of fluid & fluid properties the model determines (a) the necessary heat transfer surface area, (b) Outside and inside heat transfer coefficient, (c) overall heat transfer coefficient, (d) Pressure drop on shell and tube side, (e) It also determines mechanical design parameters such as shell O. D, Shell thickness, Tube sheet thickness, Flange thickness.
VL  - 2
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Author Information

Sandip Patil

Department of Mechanical Engineering, Govt. College of Engineering, Karad, India
Madhu Kasturi

Department of Mechanical Engineering, Govt. College of Engineering, Karad, India
Anil Acharya

Department of Mechanical Engineering, Govt. College of Engineering, Karad, India
Ashok Pise

Department of Mechanical Engineering, Govt. College of Engineering, Karad, India

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APA Style

Sandip Patil, Madhu Kasturi, Anil Acharya, Ashok Pise. (2017). Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube Type Gas Cooler Used in Transcritical CO2 Refrigeration System. International Journal of Systems Science and Applied Mathematics, 2(3), 64-69. https://doi.org/10.11648/j.ijssam.20170203.11

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ACS Style

Sandip Patil; Madhu Kasturi; Anil Acharya; Ashok Pise. Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube Type Gas Cooler Used in Transcritical CO2 Refrigeration System. Int. J. Syst. Sci. Appl. Math. 2017, 2(3), 64-69. doi: 10.11648/j.ijssam.20170203.11

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AMA Style

Sandip Patil, Madhu Kasturi, Anil Acharya, Ashok Pise. Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube Type Gas Cooler Used in Transcritical CO2 Refrigeration System. Int J Syst Sci Appl Math. 2017;2(3):64-69. doi: 10.11648/j.ijssam.20170203.11

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@article{10.11648/j.ijssam.20170203.11,
  author = {Sandip Patil and Madhu Kasturi and Anil Acharya and Ashok Pise},
  title = {Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube Type Gas Cooler Used in Transcritical CO2 Refrigeration System},
  journal = {International Journal of Systems Science and Applied Mathematics},
  volume = {2},
  number = {3},
  pages = {64-69},
  doi = {10.11648/j.ijssam.20170203.11},
  url = {https://doi.org/10.11648/j.ijssam.20170203.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssam.20170203.11},
  abstract = {This paper is about Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube type Gas Cooler used in Transcritical CO2 Refrigeration system. Transcritical refrigeration system refers to system whose condenser temperature is above critical temperature of refrigerant. To achieve it, the condenser in conventional refrigeration system is replaced by Gas Cooler where Refrigerant vapour is cooled sensibly without condensation. The gas cooler is used for cooling of refrigerant by using water as coolant. The temperature of refrigerant vapour coming out of compressor in transcritical system is more as compared to conventional refrigerant system. So gas cooler can be effectively used for heating of water. This paper describes a mathematical model that can be used in predicting the heat transfer performance of a shell and tube type Gas Cooler used in transcritical CO2 refrigeration system. The model uses Kern Method of Heat exchanger design. Given the fluid inlet and outlet temperatures flow rates of fluid & fluid properties the model determines (a) the necessary heat transfer surface area, (b) Outside and inside heat transfer coefficient, (c) overall heat transfer coefficient, (d) Pressure drop on shell and tube side, (e) It also determines mechanical design parameters such as shell O. D, Shell thickness, Tube sheet thickness, Flange thickness.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube Type Gas Cooler Used in Transcritical CO2 Refrigeration System
AU  - Sandip Patil
AU  - Madhu Kasturi
AU  - Anil Acharya
AU  - Ashok Pise
Y1  - 2017/07/12
PY  - 2017
N1  - https://doi.org/10.11648/j.ijssam.20170203.11
DO  - 10.11648/j.ijssam.20170203.11
T2  - International Journal of Systems Science and Applied Mathematics
JF  - International Journal of Systems Science and Applied Mathematics
JO  - International Journal of Systems Science and Applied Mathematics
SP  - 64
EP  - 69
PB  - Science Publishing Group
SN  - 2575-5803
UR  - https://doi.org/10.11648/j.ijssam.20170203.11
AB  - This paper is about Mathematical Modelling for Thermal and Mechanical Design of Shell and Tube type Gas Cooler used in Transcritical CO2 Refrigeration system. Transcritical refrigeration system refers to system whose condenser temperature is above critical temperature of refrigerant. To achieve it, the condenser in conventional refrigeration system is replaced by Gas Cooler where Refrigerant vapour is cooled sensibly without condensation. The gas cooler is used for cooling of refrigerant by using water as coolant. The temperature of refrigerant vapour coming out of compressor in transcritical system is more as compared to conventional refrigerant system. So gas cooler can be effectively used for heating of water. This paper describes a mathematical model that can be used in predicting the heat transfer performance of a shell and tube type Gas Cooler used in transcritical CO2 refrigeration system. The model uses Kern Method of Heat exchanger design. Given the fluid inlet and outlet temperatures flow rates of fluid & fluid properties the model determines (a) the necessary heat transfer surface area, (b) Outside and inside heat transfer coefficient, (c) overall heat transfer coefficient, (d) Pressure drop on shell and tube side, (e) It also determines mechanical design parameters such as shell O. D, Shell thickness, Tube sheet thickness, Flange thickness.
VL  - 2
IS  - 3
ER  -

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