Modelling and Theoretical Analysis of Laminar Flow and Heat Transfer in Various Protruding-Edged Plate Systems


Laminar flow and heat transfer in different protruding-edged plate systems are modelled and analyzed in the present work. These include the Parallel Flow (PF) and the Counter Flow (CF) protruding-edgedplate exchangers as well as those systems being subjected to Constant Wall Temperature (CWT) and Uniform Heat Flux (UHF) conditions. These systems are subjected to normal free stream having both power-law velocity profile and same average velocity. The continuity, momentum and energy equations are transformed to either similarity or nonsimilar equations and then solved by using well validated finite difference methods. Accurate correlations for various flow and heat transfer parameters are obtained. It is found that there are specific power-law indices that maximize the heat transfer in both PF and CF systems. The maximum reported enhancement ratios are 1.075 and 1.109 for the PF and CF systems, respectively, at Pr = 100. These ratios are 1.076 and 1.023 for CWT and UHF conditions, respectively, at Pr = 128. Per same friction force, the CF system is preferable over the PF system only when the power-law indices are smaller than zero. Finally, this work demonstrates that by appropriately distributing the free stream velocity, the heat transfer from a plate can be increased up to 10% fold.

Share and Cite:

Khaled, A. (2015) Modelling and Theoretical Analysis of Laminar Flow and Heat Transfer in Various Protruding-Edged Plate Systems. Journal of Electronics Cooling and Thermal Control, 5, 45-65. doi: 10.4236/jectc.2015.53004.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Bejan, A. and Kraus, A.D. (2003) Heat Transfer Handbook: Volume 1. John Wiley & Sons, New York.
[2] Manglik, R.M., Ravigururajan, T.S., Muley, A., Papar, R.A. and Kim, J. (2000) Advances in Enhanced Heat Transfer. ASME, New York.
[3] Bergles, A.E. (2000) New Frontiers in Enhanced Heat Transfer. In: Manglik, R.M., Ravigururijan, T.S., Muley, A., Papar, A.R. and Kim, J., Eds., Advances in Enhanced Heat Transfer, ASME, New York, 1-8.
[4] Kakaç, S., Liu, H. and Pramuanjaroenkij, A. (2013) Heat Exchangers Selection, Rating and Thermal Design. 3rd Edition, CRC Press, Boca Raton.
[5] Kraus, A.D., Aziz, A. and Welty, J. (2002) Extended Surface Heat Transfer. John Wiley & Sons, New York.
[6] Siddique, M., Khaled, A.R.A., Abdulhafiz, N.I. and Boukhary, A.Y. (2010) Recent Advances in Heat Transfer Enhancements: A Review Report. International Journal of Chemical Engineering, 2010, Article ID: 106461.
[7] Léal, L., Lavieille, P., Amokrane, M., Pigache, F., Topin, F., Nogarède, B. and Tadrist, L. (2013) An Overview of Heat Transfer Enhancement Methods and New Perspectives: Focus on Active Methods Using Electroactive Materials. International Journal of Heat and Mass Transfer, 61, 505-524.
[8] Connor, O., Patrick, J., You, S.M. and Price, D.C. (1995) A Dielectric Surface Coating Technique to Enhance Boiling Heat Transfer from High Power Microelectronics. IEEE Transactions on Components, Packaging, and Manufacturing Technology, Part A, 18, 656-663.
[9] Buffone, C., Sefiane, K. and Buffone, L. (2005) Heat Transfer Enhancement in Heat Pipe Applications Using Surface Coating. Journal of Enhanced Heat Transfer, 12, 21-35.
[10] Kakaç, S. and Pramuanjaroenkij, A. (2009) Review of Convective Heat Transfer Enhancement with Nanofluids. International Journal of Heat and Mass Transfer, 52, 3187-3196.
[11] Khaled, A.R.A. and Vafai, K. (2003) Cooling Enhancements inside Thin Films Supported by Flexible Complex Seals in the Presence of Ultrafine Suspensions. Journal of Heat Transfer—Transactions of the ASME, 125, 916-925.
[12] Khaled, A.R.A. and Vafai, K. (2002) Flow and Heat Transfer inside Thin Films Supported by Soft Seals in the Presence of Internal and External Pressure Pulsations. International Journal of Heat and Mass Transfer, 45, 5107-5115.
[13] Khaled, A.R.A. and Vafai, K. (2014) Heat Transfer Enhancement by Layering of Two Immiscible Co-Flows. International Journal of Heat and Mass Transfer, 68, 299-309.
[14] Al Omari, S.A.B. (2011) Enhancement of Heat Transfer from Hot Water by Co-Flowing It with Mercury in a Mini- Channel. International Communications of Heat and Mass Transfer, 38, 1073-1079.
[15] Khaled, A.R.A. (2014) Heat Transfer Enhancement in a Vertical Tube Confining Two Immiscible Falling Co-Flows. International Journal of Thermal Sciences, 85, 138-150.
[16] White, F.M. (2006) Viscous Fluid Flow. 3rd Edition, McGraw-Hill, Boston.
[17] Bejan, A. (2013) Convection Heat Transfer. John Wiley & sons, New York.
[18] Bhattacharyya, K. and Layek, G.C. (2011) Effects of Suction/Blowing on Steady Boundary Layer Stagnation-Point Flow and Heat Transfer towards a Shrinking Sheet with Thermal Radiation. International Journal of Heat and Mass Transfer, 54, 302-307.
[19] Blottner, F.G. (1977) Finite-Difference Methods of Solution of the Boundary-Layer Equations. The American Institute of Aeronautics and Astronautics Journal, 8, 193-205.
[20] Arpaci, V.S. and Larsen, P.S. (1984) Convection Heat Transfer. Prentice Hall, New York.
[21] Atkinson, K.E. (1989) An Introduction to Numerical Analysis. 2nd Edition, John Wiley & Sons, New York.

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.