The First Law of Thermodynamics in Vector Form and Convective Heat Transfer

Davidzon Mikhail Yosifovich

doi:doi:10.11648/j.ajpa.20180606.12

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The First Law of Thermodynamics in Vector Form and Convective Heat Transfer

Davidzon Mikhail Yosifovich

Published in American Journal of Physics and Applications (Volume 6, Issue 6)

Received: 13 November 2018 Accepted: 4 December 2018 Published: 25 December 2018

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Abstract

Nowadays most of the practical calculations and theoretical findings in convective heat transfer amount to determining heat transfer coefficient (a coefficient of proportionality between surface density of the heat flux and temperature difference between the wall and the heated medium). An expression that includes heat transfer coefficient is called Newton’s law of cooling. The purpose of this study is to show that Newton’s law of cooling is not consistent with the first law of thermodynamics, and the study proves it using a new, vector form of the first law of thermodynamics, along with the more traditional scalar form. The study also offers a new analytically obtained expression for calculating surface density of the heat flux, and shows that it is not consistent with the Newton’s law of cooling. It also shows that Fourier’s thermal conduction law is a consequence of the first law of thermodynamics in vector form, and that Fourier-Richmann’s law of cooling and Newton’s law of cooling do not agree with the first law of thermodynamics. The results of this study can be used in engineering calculations for heat-using devices, as well as in a theoretical research. Additionally, the study suggests a new possible way to derive a nonlinear energy equation – by using vector form of the first law of thermodynamics. If previously obtained nonlinear Navier-Stokes equation is added to this nonlinear energy equation, a system of nonlinear equations could be obtained to correctly describe theory and practice of convective heat exchange, introducing completely new methods for calculating convective heat exchange (without using traditional heat transfer coefficients and laws of cooling).

Published in	American Journal of Physics and Applications (Volume 6, Issue 6)
DOI	10.11648/j.ajpa.20180606.12
Page(s)	147-153
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

First Law of Thermodynamics, Heat Transfer Coefficient, Newton’s Law of Cooling, Surface Heat Flux Density

References

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[2]	M. Y. Davidzon, Fundamentals of Mechanics. M.: Gardariki, 2004, 314 p.
[3]	M. Y. Davidzon, About Navier-Stokes Equation in the Theory of Convective Heat Transfer. IOP Conf. Series: Journal of Physics: Conf. Series 891 (2017)
[4]	V. P. Isachenko, V. A. Osipova, A. S. Sukomel, Heat Transfer. M.: Energoizdat, 1981. 424 p.
[5]	B. Balayka, K. Sikora, Heat exchange processes in the chemical industry. M,: Mashgiz, 1968. 352 p.
[6]	M. A. Mikheev, I. M. Mikheeva, Fundamentals of heat transfer. M.: Energia, 1973. 319 p.
[7]	G. Greber, S. Erk, Fundamentals of Heat Transfer. M.; L.,: United Scientific-Technical Publishing House of the NKTP of the USSR, 1936. 327 p.
[8]	B. S. Petukhov, Heat transfer and resistance during laminar flow of liquid in pipes. Moscow: Energy, 1967. 411 p.
[9]	Anonymous, Scalagraduumcaloris (Lat) // Philosophical Transactions 1701. N 270. pp. 824-829.
[10]	I. Newton, Scale of the degrees of heat (English translation) // Philosophical Transactions Royal Society of London, Abridged. 1809. 4. pp. 572-575.
[11]	E. F. Adiutory, A New Look at the Origin of the Heat Transfer Concept. J. ASME/A / ChE. National Heat Transfer Conference. August 5-8, 1989. Philadelphia, Pennsylvania. The ASME 345 E, 47 St, New York. 10017.
[12]	A. S. Kartashov, Thermodynamic clock of Isaac Newton. http://samlib.ru/k/kartashow_a_s/g5newton.shtml from 21/10/2011
[13]	V. Richmann, Proceedings in Physics. M.: Publishing House of the Academy of Sciences of the USSR, 1956. 711 p.
[14]	J. Fourier, The Analytical Theory of Heat. Translated, with notes, by Alexander Freeman, M. A., at the University Press. London: Cambridge, 1878. 466 p.
[15]	M. Y. Davidzon, A New Approach to the Calculation of Convective Heat Transfer in Channels, Vestnik Ivanovo State University. Natural and Social Sciences Series. 2013. Vol. 2. pp. 64-73.
[16]	M. Y. Davidzon, Convective heat transfer in channels and pipes. RNKT-6 Sixth National Heat Exchange Conference, October 27-31, 2014. Papers C (40) C-11 (4 p.)
[17]	M. Y. Davidzon. On convective heat transfer in channels (New approach). Proceedings of CONV-14. International Symposium on Convective Heat and Mass Transfer. June 8-13, 2014. Turkey. CONV-14 - 136 (15 p.)
[18]	I. I. Asnin, Thermal similarity, convective heat transfer and entropy. Kharkov: Publishing house of the Kharkov State University. 1962. 113 p.

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Davidzon Mikhail Yosifovich. (2018). The First Law of Thermodynamics in Vector Form and Convective Heat Transfer. American Journal of Physics and Applications, 6(6), 147-153. https://doi.org/10.11648/j.ajpa.20180606.12

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ACS Style

Davidzon Mikhail Yosifovich. The First Law of Thermodynamics in Vector Form and Convective Heat Transfer. Am. J. Phys. Appl. 2018, 6(6), 147-153. doi: 10.11648/j.ajpa.20180606.12

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AMA Style

Davidzon Mikhail Yosifovich. The First Law of Thermodynamics in Vector Form and Convective Heat Transfer. Am J Phys Appl. 2018;6(6):147-153. doi: 10.11648/j.ajpa.20180606.12

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@article{10.11648/j.ajpa.20180606.12,
  author = {Davidzon Mikhail Yosifovich},
  title = {The First Law of Thermodynamics in Vector Form and Convective Heat Transfer},
  journal = {American Journal of Physics and Applications},
  volume = {6},
  number = {6},
  pages = {147-153},
  doi = {10.11648/j.ajpa.20180606.12},
  url = {https://doi.org/10.11648/j.ajpa.20180606.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20180606.12},
  abstract = {Nowadays most of the practical calculations and theoretical findings in convective heat transfer amount to determining heat transfer coefficient (a coefficient of proportionality between surface density of the heat flux and temperature difference between the wall and the heated medium). An expression that includes heat transfer coefficient is called Newton’s law of cooling. The purpose of this study is to show that Newton’s law of cooling is not consistent with the first law of thermodynamics, and the study proves it using a new, vector form of the first law of thermodynamics, along with the more traditional scalar form. The study also offers a new analytically obtained expression for calculating surface density of the heat flux, and shows that it is not consistent with the Newton’s law of cooling. It also shows that Fourier’s thermal conduction law is a consequence of the first law of thermodynamics in vector form, and that Fourier-Richmann’s law of cooling and Newton’s law of cooling do not agree with the first law of thermodynamics. The results of this study can be used in engineering calculations for heat-using devices, as well as in a theoretical research. Additionally, the study suggests a new possible way to derive a nonlinear energy equation – by using vector form of the first law of thermodynamics. If previously obtained nonlinear Navier-Stokes equation is added to this nonlinear energy equation, a system of nonlinear equations could be obtained to correctly describe theory and practice of convective heat exchange, introducing completely new methods for calculating convective heat exchange (without using traditional heat transfer coefficients and laws of cooling).},
 year = {2018}
}

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TY  - JOUR
T1  - The First Law of Thermodynamics in Vector Form and Convective Heat Transfer
AU  - Davidzon Mikhail Yosifovich
Y1  - 2018/12/25
PY  - 2018
N1  - https://doi.org/10.11648/j.ajpa.20180606.12
DO  - 10.11648/j.ajpa.20180606.12
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 147
EP  - 153
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20180606.12
AB  - Nowadays most of the practical calculations and theoretical findings in convective heat transfer amount to determining heat transfer coefficient (a coefficient of proportionality between surface density of the heat flux and temperature difference between the wall and the heated medium). An expression that includes heat transfer coefficient is called Newton’s law of cooling. The purpose of this study is to show that Newton’s law of cooling is not consistent with the first law of thermodynamics, and the study proves it using a new, vector form of the first law of thermodynamics, along with the more traditional scalar form. The study also offers a new analytically obtained expression for calculating surface density of the heat flux, and shows that it is not consistent with the Newton’s law of cooling. It also shows that Fourier’s thermal conduction law is a consequence of the first law of thermodynamics in vector form, and that Fourier-Richmann’s law of cooling and Newton’s law of cooling do not agree with the first law of thermodynamics. The results of this study can be used in engineering calculations for heat-using devices, as well as in a theoretical research. Additionally, the study suggests a new possible way to derive a nonlinear energy equation – by using vector form of the first law of thermodynamics. If previously obtained nonlinear Navier-Stokes equation is added to this nonlinear energy equation, a system of nonlinear equations could be obtained to correctly describe theory and practice of convective heat exchange, introducing completely new methods for calculating convective heat exchange (without using traditional heat transfer coefficients and laws of cooling).
VL  - 6
IS  - 6
ER  -

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Author Information

Davidzon Mikhail Yosifovich

School of General and Theoretical Physics, Physics Department, Ivanovo State University, Ivanovo, Russia

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APA Style

Davidzon Mikhail Yosifovich. (2018). The First Law of Thermodynamics in Vector Form and Convective Heat Transfer. American Journal of Physics and Applications, 6(6), 147-153. https://doi.org/10.11648/j.ajpa.20180606.12

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ACS Style

Davidzon Mikhail Yosifovich. The First Law of Thermodynamics in Vector Form and Convective Heat Transfer. Am. J. Phys. Appl. 2018, 6(6), 147-153. doi: 10.11648/j.ajpa.20180606.12

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AMA Style

Davidzon Mikhail Yosifovich. The First Law of Thermodynamics in Vector Form and Convective Heat Transfer. Am J Phys Appl. 2018;6(6):147-153. doi: 10.11648/j.ajpa.20180606.12

Copy | Download

@article{10.11648/j.ajpa.20180606.12,
  author = {Davidzon Mikhail Yosifovich},
  title = {The First Law of Thermodynamics in Vector Form and Convective Heat Transfer},
  journal = {American Journal of Physics and Applications},
  volume = {6},
  number = {6},
  pages = {147-153},
  doi = {10.11648/j.ajpa.20180606.12},
  url = {https://doi.org/10.11648/j.ajpa.20180606.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20180606.12},
  abstract = {Nowadays most of the practical calculations and theoretical findings in convective heat transfer amount to determining heat transfer coefficient (a coefficient of proportionality between surface density of the heat flux and temperature difference between the wall and the heated medium). An expression that includes heat transfer coefficient is called Newton’s law of cooling. The purpose of this study is to show that Newton’s law of cooling is not consistent with the first law of thermodynamics, and the study proves it using a new, vector form of the first law of thermodynamics, along with the more traditional scalar form. The study also offers a new analytically obtained expression for calculating surface density of the heat flux, and shows that it is not consistent with the Newton’s law of cooling. It also shows that Fourier’s thermal conduction law is a consequence of the first law of thermodynamics in vector form, and that Fourier-Richmann’s law of cooling and Newton’s law of cooling do not agree with the first law of thermodynamics. The results of this study can be used in engineering calculations for heat-using devices, as well as in a theoretical research. Additionally, the study suggests a new possible way to derive a nonlinear energy equation – by using vector form of the first law of thermodynamics. If previously obtained nonlinear Navier-Stokes equation is added to this nonlinear energy equation, a system of nonlinear equations could be obtained to correctly describe theory and practice of convective heat exchange, introducing completely new methods for calculating convective heat exchange (without using traditional heat transfer coefficients and laws of cooling).},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - The First Law of Thermodynamics in Vector Form and Convective Heat Transfer
AU  - Davidzon Mikhail Yosifovich
Y1  - 2018/12/25
PY  - 2018
N1  - https://doi.org/10.11648/j.ajpa.20180606.12
DO  - 10.11648/j.ajpa.20180606.12
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 147
EP  - 153
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20180606.12
AB  - Nowadays most of the practical calculations and theoretical findings in convective heat transfer amount to determining heat transfer coefficient (a coefficient of proportionality between surface density of the heat flux and temperature difference between the wall and the heated medium). An expression that includes heat transfer coefficient is called Newton’s law of cooling. The purpose of this study is to show that Newton’s law of cooling is not consistent with the first law of thermodynamics, and the study proves it using a new, vector form of the first law of thermodynamics, along with the more traditional scalar form. The study also offers a new analytically obtained expression for calculating surface density of the heat flux, and shows that it is not consistent with the Newton’s law of cooling. It also shows that Fourier’s thermal conduction law is a consequence of the first law of thermodynamics in vector form, and that Fourier-Richmann’s law of cooling and Newton’s law of cooling do not agree with the first law of thermodynamics. The results of this study can be used in engineering calculations for heat-using devices, as well as in a theoretical research. Additionally, the study suggests a new possible way to derive a nonlinear energy equation – by using vector form of the first law of thermodynamics. If previously obtained nonlinear Navier-Stokes equation is added to this nonlinear energy equation, a system of nonlinear equations could be obtained to correctly describe theory and practice of convective heat exchange, introducing completely new methods for calculating convective heat exchange (without using traditional heat transfer coefficients and laws of cooling).
VL  - 6
IS  - 6
ER  -

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