Extensive Study on Hydrodynamics and Heat Transfer of Laminar Mixed Convection

De-Yi Shang; Liang-Cai Zhong

doi:doi:10.11648/j.sjee.s.2015030301.12

| Peer-Reviewed

Extensive Study on Hydrodynamics and Heat Transfer of Laminar Mixed Convection

De-Yi Shang, Liang-Cai Zhong

Published in Science Journal of Energy Engineering (Volume 3, Issue 3-1)

Received: 18 December 2014 Accepted: 23 December 2014 Published: 19 January 2015

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

Through extensive study on hydrodynamics and heat transfer, calculation correlations of heat transfer for laminar free/forced mixed convection on a vertical flat plate is obtained. It contains the following three research investigations: (i) local-similarity analysis and transformation based on our developed new similarity analysis method replacing the traditional Falkner-Skan type transformation; (ii) New governing local-similarity mathematical model, which is first applied in study of laminar free/forced mixed convection. It is more conveniently obtained and applied compared with that based on the Falkner-Skan type transformation for investigation of free/forced mixed convection; and (iii) New correlations on heat transfer of laminar free/forced mixed convection. They have wide coverage of Prandtl number and mixed convection parameter, and are suitable for all gases and important liquids including water for laminar free/forced mixed convection. The reported heat transfer correlations are so reliably because they are produced based on combination of theoretical analysis equations with the correlations formulated rigorously according to system of groups on accurate numerical solutions.

Published in	Science Journal of Energy Engineering (Volume 3, Issue 3-1) This article belongs to the Special Issue Convection Heat and Mass Transfer
DOI	10.11648/j.sjee.s.2015030301.12
Page(s)	8-17
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

Hydrodynamics, Heat transfer, Local-similarity transformation, Laminar mixed convection, Heat transfer correlations, New similarity method, Core similarity variables

References

[1]	B. Gebhart and Y. Jaluria, Mahajan RL, Sammakia B. Buoyancy-induced flows and transfort. Hemisphere; 1988.
[2]	A. Bejan, Convective heat transfer. Willey Inter Science; 1994.
[3]	I. Pop and D.B. Ingham, Convective heat transfer: mathematical and computational odelling of viscous fluids and porous media. Elsevier UK, 2001.
[4]	A. Acrivos, Combined laminar free and forced convection heat transfer in external flows, AIChE J. 4, 1958, 285-289
[5]	E.M. Sparrow, R. Eichhorn, J.L Gregg, Combined forced and free convection in a boundary layer flow. Phys. of Fluids 2 (1959) 319-328
[6]	A.A. Szewcyk, "Combined Forced and Free Convection Laminar Flow," Jour. Heat Transfer, Trans. ASME, Series C, Vol. 86, No. 4, November 1964, pp. 501-507.
[7]	P.H. Oosthuizen and R. Hart, A numerical study of laminar combined convection flow over flat plates. J. Heat Transfer 95 (1973) 60 63
[8]	P. Cheng, Combined free and forced boundary layer flows about inclined surfaces in a porous medium, Int. J. Neat Mass Transfer 20, 807-814 (1977).
[9]	T.S. Chen and C.F. Yuh, A. Moutsoglou, Combined heat and mass transfer in mixed convection along vertical and inclined plates, International Journal of Heat and Mass transfer, Volume 23, Issue 4, 1980, Pages 527–537
[10]	M.S. Raju, X.Q. Liu and C.K. Law, A formulation of combined forced and free convection past horizontal and vertical surfaces. Int. J. Heat Mass Transfer 27 (1984) 2215-2224
[11]	T.S. Chen and B.F. Armaly, N. Ramachandran, Correlations for laminar mixed convection flows on vertical, inclined, and horizontal flat plates, ASME J. Heat Transfer 108 (1986) 835–840.
[12]	L.S. Yao, Two-dimensional mixed convection along a flat plate, ASME J. Heat Transfer. 109 (1987) 440–445.
[13]	J.C. Hsieh, T.S. Chen and B.F. Armaly, “Non-similarity solutions for mixed convection from vertical surfaces in porous media: variable surface temperature or heat flux”, International Journal of Heat and Mass Transfer, Vol. 36, 1993, pp. 1485-93
[14]	N. G. Kafoussias and E. W. Williams, The effect of temperature-dependent viscosity on free-forced convective laminar boundary layer flow past a vertical isothermal flat plate, Acta Mechanica Volume 110, Numbers 1-4, 123-137, 1995
[15]	C.H. Chen, Laminar mixed convection adjacent to vertical, continuously stretching sheets, Heat and Mass Transfer, Volume 33, Issue 5/6, pp. 471-476 (1998).
[16]	S.D. Harris, D.B. Ingham and I. Pop, Unsteady mixed convection boundary-layer flow on a vertical surface in a porous medium, Int. J. Heat Mass Transfer J. Heat and Mass Transfer, 42: 357 – 372, 1999
[17]	M. A. Hossain and M. S. Munir, Mixed convection flow from a vertical flat plate with temperature dependent viscosity, Int. J. Therm. Sci. (2000) 39, 173–183
[18]	J.H. Merkin and I. Pop, 2002. Mixed convection along a vertical surface: similarity solutions for uniform flow, Fluid Dyn. Res. 30, 233–250.
[19]	H. Steinr'uck, About the physical relevance of similarity solutions of the boundary-layer flow equations describing mixed convection flow along a vertical plate, Fluid Dynamics Research 32 (2003) 1–13
[20]	Sami A. Al-Sanea, Mixed convection heat transfer along a continuously moving heated vertical plate with suction or injection, International Journal of Heat and Mass Transfer 47 (2004) 1445–1465
[21]	M.E. Ali, The effect of variable viscosity on mixed convection heat transfer along a vertical moving surface, Int. J. Therm. Sci. 45 (2006) 60–69
[22]	Aydin O, Kaya A (2007) Mixed convection of a viscous dissipating fluid about a vertical flat plate. Appl Math Model 31:843–853
[23]	P. Rana, R. Bhargava, Numerical study of heat transfer enhancement in mixed convection flow along a vertical plate with heat source/sink utilizing nanofluids, Commun Nonlinear Sci Numer Simulat 16 (2011) 4318–4334
[24]	Devarapu Anilkumar, Nonsimilar solutions from a moving vertical, /Commun Nonlinear Sci Numer Simulat 16 (2011) 3147–3157
[25]	D.Y. Shang, "Theory of heat transfer with forced convection film flows", Springer-Verlag, Berlin, Heldberg2011
[26]	E. Pohlhausen, Der Warmeaustausch zwischen festen Korpern und Flussigkeiten mit kleiner Reiburg und kleiner Warmeleitung. Z. Angew. Math. Mech.1, 115-121, 1921.

Cite This Article

Plain Text BibTeX RIS

APA Style

De-Yi Shang, Liang-Cai Zhong. (2015). Extensive Study on Hydrodynamics and Heat Transfer of Laminar Mixed Convection. Science Journal of Energy Engineering, 3(3-1), 8-17. https://doi.org/10.11648/j.sjee.s.2015030301.12

Copy | Download

ACS Style

De-Yi Shang; Liang-Cai Zhong. Extensive Study on Hydrodynamics and Heat Transfer of Laminar Mixed Convection. Sci. J. Energy Eng. 2015, 3(3-1), 8-17. doi: 10.11648/j.sjee.s.2015030301.12

Copy | Download

AMA Style

De-Yi Shang, Liang-Cai Zhong. Extensive Study on Hydrodynamics and Heat Transfer of Laminar Mixed Convection. Sci J Energy Eng. 2015;3(3-1):8-17. doi: 10.11648/j.sjee.s.2015030301.12

Copy | Download

@article{10.11648/j.sjee.s.2015030301.12,
  author = {De-Yi Shang and Liang-Cai Zhong},
  title = {Extensive Study on Hydrodynamics and Heat Transfer of Laminar Mixed Convection},
  journal = {Science Journal of Energy Engineering},
  volume = {3},
  number = {3-1},
  pages = {8-17},
  doi = {10.11648/j.sjee.s.2015030301.12},
  url = {https://doi.org/10.11648/j.sjee.s.2015030301.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjee.s.2015030301.12},
  abstract = {Through extensive study on hydrodynamics and heat transfer, calculation correlations of heat transfer for laminar free/forced mixed convection on a vertical flat plate is obtained. It contains the following three research investigations: (i) local-similarity analysis and transformation based on our developed new similarity analysis method replacing the traditional Falkner-Skan type transformation; (ii) New governing local-similarity mathematical model, which is first applied in study of laminar free/forced mixed convection. It is more conveniently obtained and applied compared with that based on the Falkner-Skan type transformation for investigation of free/forced mixed convection; and (iii) New correlations on heat transfer of laminar free/forced mixed convection. They have wide coverage of Prandtl number and mixed convection parameter, and are suitable for all gases and important liquids including water for laminar free/forced mixed convection. The reported heat transfer correlations are so reliably because they are produced based on combination of theoretical analysis equations with the correlations formulated rigorously according to system of groups on accurate numerical solutions.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Extensive Study on Hydrodynamics and Heat Transfer of Laminar Mixed Convection
AU  - De-Yi Shang
AU  - Liang-Cai Zhong
Y1  - 2015/01/19
PY  - 2015
N1  - https://doi.org/10.11648/j.sjee.s.2015030301.12
DO  - 10.11648/j.sjee.s.2015030301.12
T2  - Science Journal of Energy Engineering
JF  - Science Journal of Energy Engineering
JO  - Science Journal of Energy Engineering
SP  - 8
EP  - 17
PB  - Science Publishing Group
SN  - 2376-8126
UR  - https://doi.org/10.11648/j.sjee.s.2015030301.12
AB  - Through extensive study on hydrodynamics and heat transfer, calculation correlations of heat transfer for laminar free/forced mixed convection on a vertical flat plate is obtained. It contains the following three research investigations: (i) local-similarity analysis and transformation based on our developed new similarity analysis method replacing the traditional Falkner-Skan type transformation; (ii) New governing local-similarity mathematical model, which is first applied in study of laminar free/forced mixed convection. It is more conveniently obtained and applied compared with that based on the Falkner-Skan type transformation for investigation of free/forced mixed convection; and (iii) New correlations on heat transfer of laminar free/forced mixed convection. They have wide coverage of Prandtl number and mixed convection parameter, and are suitable for all gases and important liquids including water for laminar free/forced mixed convection. The reported heat transfer correlations are so reliably because they are produced based on combination of theoretical analysis equations with the correlations formulated rigorously according to system of groups on accurate numerical solutions.
VL  - 3
IS  - 3-1
ER  -

Copy | Download

Author Information

De-Yi Shang

136 Ingersoll Cres., Ottawa, ON, Canada K2T 3W9
Liang-Cai Zhong

Department of Ferrous Metallurgy, Northeastern University, Shenyang 110004, China

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

De-Yi Shang, Liang-Cai Zhong. (2015). Extensive Study on Hydrodynamics and Heat Transfer of Laminar Mixed Convection. Science Journal of Energy Engineering, 3(3-1), 8-17. https://doi.org/10.11648/j.sjee.s.2015030301.12

Copy | Download

ACS Style

De-Yi Shang; Liang-Cai Zhong. Extensive Study on Hydrodynamics and Heat Transfer of Laminar Mixed Convection. Sci. J. Energy Eng. 2015, 3(3-1), 8-17. doi: 10.11648/j.sjee.s.2015030301.12

Copy | Download

AMA Style

De-Yi Shang, Liang-Cai Zhong. Extensive Study on Hydrodynamics and Heat Transfer of Laminar Mixed Convection. Sci J Energy Eng. 2015;3(3-1):8-17. doi: 10.11648/j.sjee.s.2015030301.12

Copy | Download

@article{10.11648/j.sjee.s.2015030301.12,
  author = {De-Yi Shang and Liang-Cai Zhong},
  title = {Extensive Study on Hydrodynamics and Heat Transfer of Laminar Mixed Convection},
  journal = {Science Journal of Energy Engineering},
  volume = {3},
  number = {3-1},
  pages = {8-17},
  doi = {10.11648/j.sjee.s.2015030301.12},
  url = {https://doi.org/10.11648/j.sjee.s.2015030301.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjee.s.2015030301.12},
  abstract = {Through extensive study on hydrodynamics and heat transfer, calculation correlations of heat transfer for laminar free/forced mixed convection on a vertical flat plate is obtained. It contains the following three research investigations: (i) local-similarity analysis and transformation based on our developed new similarity analysis method replacing the traditional Falkner-Skan type transformation; (ii) New governing local-similarity mathematical model, which is first applied in study of laminar free/forced mixed convection. It is more conveniently obtained and applied compared with that based on the Falkner-Skan type transformation for investigation of free/forced mixed convection; and (iii) New correlations on heat transfer of laminar free/forced mixed convection. They have wide coverage of Prandtl number and mixed convection parameter, and are suitable for all gases and important liquids including water for laminar free/forced mixed convection. The reported heat transfer correlations are so reliably because they are produced based on combination of theoretical analysis equations with the correlations formulated rigorously according to system of groups on accurate numerical solutions.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Extensive Study on Hydrodynamics and Heat Transfer of Laminar Mixed Convection
AU  - De-Yi Shang
AU  - Liang-Cai Zhong
Y1  - 2015/01/19
PY  - 2015
N1  - https://doi.org/10.11648/j.sjee.s.2015030301.12
DO  - 10.11648/j.sjee.s.2015030301.12
T2  - Science Journal of Energy Engineering
JF  - Science Journal of Energy Engineering
JO  - Science Journal of Energy Engineering
SP  - 8
EP  - 17
PB  - Science Publishing Group
SN  - 2376-8126
UR  - https://doi.org/10.11648/j.sjee.s.2015030301.12
AB  - Through extensive study on hydrodynamics and heat transfer, calculation correlations of heat transfer for laminar free/forced mixed convection on a vertical flat plate is obtained. It contains the following three research investigations: (i) local-similarity analysis and transformation based on our developed new similarity analysis method replacing the traditional Falkner-Skan type transformation; (ii) New governing local-similarity mathematical model, which is first applied in study of laminar free/forced mixed convection. It is more conveniently obtained and applied compared with that based on the Falkner-Skan type transformation for investigation of free/forced mixed convection; and (iii) New correlations on heat transfer of laminar free/forced mixed convection. They have wide coverage of Prandtl number and mixed convection parameter, and are suitable for all gases and important liquids including water for laminar free/forced mixed convection. The reported heat transfer correlations are so reliably because they are produced based on combination of theoretical analysis equations with the correlations formulated rigorously according to system of groups on accurate numerical solutions.
VL  - 3
IS  - 3-1
ER  -

Copy | Download