THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

Mohamed El-Sayed Mosaad

TWO CONJUGATE CONVECTION BOUNDARY-LAYERS OF COUNTER FORCED FLOW

ABSTRACT
In this study, the conjugate heat transfer problem of two laminar forced convection boundary layers of counter flow on the opposite sides of a conductive wall is analyzed by employing the integral method. The analysis is conducted in a dimensionless framework to generalize the solution. The dimensionless parameters affecting the thermal interaction between the two convection layers are deduced from the analysis. These parameters give a measure of the relative importance of interactive heat transfer modes. Mean Nusselt number data are obtained for a wide range of the main affecting parameters.
KEYWORDS
conjugate heat transfer, laminar forced flow, analytical heat convection
PAPER SUBMITTED: 2016-05-02
PAPER REVISED: 2016-07-02
PAPER ACCEPTED: 2016-07-14
PUBLISHED ONLINE: 2016-08-07
DOI REFERENCE: https://doi.org/10.2298/TSCI160502177M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Issue 2, PAGES [835 - 846]
REFERENCES
  1. Karvinen, R., Use of Analytical Expressions of Convection in Conjugated Heat Transfer Problems, J. of Heat Transfer, 134 (2012), pp. 1-9.
  2. Dorfman, A., Conjugate Problems in Convective Heat Transfer, Boca Raton: CRC Press 2009.
  3. Merlin, J.H., Pop, I., Conjugate Free Convection on a Vertical Surface, Int. J Heat and Mass Transfer, 39(1996), pp. 1527-1534.
  4. Bejan, A., Anderson, R., Heat Transfer across a Vertical Impermeable Partition Imbedded in Porous Medium, Int. J Heat and Mass Transfer, 24(1981), pp. 1237-1245.
  5. Kimura, S., Heat Transfer through a Vertical Wall Separating Porous-Porous or Porous-Fluid Reservoirs at Different Temperatures, J of Energy Research, 27(2003), pp. 891-905.
  6. Bejan, A., Anderson, R., Natural Convection at the Interface between a Vertical Porous Layer and an Open Space, J. of Heat Transfer, 105(1981), pp 124-120.
  7. Sparrow, E.M., AFGRI, M., Fluid-to-Fluid Conjugate Heat Transfer for a Vertical Pipe-Internal Forced Convection and External Natural Convection, J. of Heat Transfer, 102(1980), pp. 402-407.
  8. Shu, J-J., Pop, I., Thermal Interaction between Free Convection and Forced Convection along a Vertical Conducting Wall, Heat and Mass Transfer, 35(1999), pp. 33-38.
  9. Mosaad, M., Al-Hojer, M., Thermal Interaction between Two Vertical Systems of Free and Forced Convection, Thermophysics and Heat Transfer, 20(2006), pp. 305-312.
  10. Luikov, A., Conjugate Convective Heat Transfer Problems, Heat Mass Transfer, 17(1975), pp.257-267.
  11. Mosaad, M., Laminar Forced Convection Conjugate Heat Transfer over a Flat Plate, Heat and Mass Transfer, 35(1999), pp.371-375.
  12. Karvinen, R., Note on Conjugated Heat Transfer in a Flat Plate, Letters in Heat and Mass Transfer, 5(1978), pp.197-202.
  13. Treviño, C., Becerra, G., Méndez, F., The Classical Problem of Convective Heat Transfer in Laminar Flow over a Thin Finite Thickness Plate with Uniform Temperature at the Lower Surface, Heat Mass Transfer, 40(1997), pp.3577-3580
  14. Lindstedt M, Karvinen, R., Conjugate Heat Transfer in a Plate-one Surface at Constant Temperature and the Other Cooled by Forced or Natural Convection, Heat and Mass Transfer, 66,(2013), pp. 489-495.
  15. Lehtinen, A., Karvinen, R., Analytical Solution for a Class of Flat Plate Conjugate Convective Heat Transfer Problems, Frontiers in Heat and Mass Transfer (FHMT), 2(2011), 6 pages. DOI: 10.5098/hmt.v2.4.3004.
  16. Payvar, P., Convective Heat Transfer to Laminar Flow over a Plate of Finite Thickness, Heat Mass Transfer, 20,(1977), pp. 431-433.
  17. Chida, K., Surface Temperature of a Flat Plate of Finite Thickness under Conjugate Laminar Forced Convection Heat Transfer Condition, Heat and Mass Transfer, 43(2000), pp. 639-642.
  18. Treviño, C., Liñán, A., External Heating of a Flat Plate in a Convective Flow, Int. J Heat Mass Transfer, 27(1984), pp.1067-1073.
  19. Hajmohammadi, M.R., Nourazar, S.S., Conjugate Forced Convection Heat Transfer from a Heated Flat Plate of Finite Thickness and Temperature-Dependent Thermal Conductivity, Heat Transfer Engineering, 35(2014), pp. 863-874.
  20. Alinejad, J., Samarbakhsh, S. , Viscous Flow over Nonlinearly Stretching Sheet with Effects of Viscous Dissipation, Applied Mathematics, 2(2012), 10 pages, doi:10.1155/2012/587834
  21. Sparrow, E. M., Abraham, J. P. , Universal Solutions for the Streamwise Variation of the Temperature of a Moving Sheet in the Presence of a Moving Fluid, Int. J. of Heat and Mass Transfer, 48(2005), pp. 3047-3056.
  22. Abraham, J.P. , Sparrow, E.M. , Friction Drag Resulting from the Simultaneous Imposed Motion of a Freestream and its Bounding Surface, Int. J. of Heat and Fluid Flow, 26(2005), pp. 289-295.
  23. Esfahani, J.A. , Alinejad, J., Lattice Boltzmann Simulation of Viscous-Fluid Flow and Conjugate Heat Transfer in a Rectangular Cavity with a Heated Moving Wall, Thermophysics and Aeromechanics, 20(2013), pp 613-620.
  24. Plaschko, P., High Peclet Number Heat Exchange between Co-Current Streams, Arch. Appl. Mech., 70(2000), pp. 597-611.
  25. Mosaad, M., Thermal Interaction between Two Forced-Convection Boundary Layers across a Conductive Solid Wall, Heat Transfer - Asian Res., (2016). onlinelibrary.wiley.com/doi/10.1002/htj.21217.
  26. Vera, M., Liñán, A., Laminar Counter-Flow Parallel-Plate Heat Exchangers: Exact and Approximate Solutions, Int. J. Heat Mass Transfer, 53(2010), pp. 4885-4898.
  27. Vera, M., Liñán, A., Exact Solution for the Conjugate Fluid-Fluid Problem in the Thermal Entrance Region of Laminar Counter-Flow Heat Exchangers, Int. J. of Heat and Mass Transfer, 54(2011), pp. 490-499.
  28. Viskanta, R., Abrams, M., Thermal Interaction of Two Streams in Boundary Layer Flow Separated by a Plate, Int. J Heat and Mass Transfer, 14(1971), pp. 1311-1321.
  29. Medina, M., Luna, E., Treviño, C., Numerical Solution of the Conjugate Heat Transfer between Forced Counter Flowing Streams, Heat and Mass Transfer, 30(1995), pp. 297-302.
  30. Baehr, H.D., Karl Stephan, K., Heat and Mass Transfer, 3rd. revised edition, Springer, New York, 2011.
PDF VERSION [DOWNLOAD]
Two conjugate convection boundary-layers of counter forced flow

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence