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Research Papers

Local Heat Transfer Dependency on Thermal Boundary Condition in Ribbed Cooling Channel Geometries

[+] Author and Article Information
Beni Cukurel

e-mail: bcukurel@technion.ac.il

Tony Arts

e-mail: arts@vki.ac.be
von Karman Institute for Fluid Dynamics,
Turbomachinery Department,
Chaussée de Waterloo, 72,
B-1640 Rhode-St-Genese, Belgium

1Present address: The Turbo and Jet Engine Laboratory, Faculty of Aerospace Engineering, Technion, Israel Institute of Technology, Haifa 32000, Israel.

2Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received April 17, 2012; final manuscript received January 17, 2013; published online September 11, 2013. Assoc. Editor: Roy E. Hogan.

J. Heat Transfer 135(10), 101001 (Sep 11, 2013) (11 pages) Paper No: HT-12-1168; doi: 10.1115/1.4024494 History: Received April 17, 2012; Revised January 17, 2013

The present study is geared toward quantifying the effects of imposed thermal boundary condition in cooling channel applications. In this regard, tests are conducted in a generic passage, with evenly distributed rib type perturbators at 90 deg, with a 30% passage blockage ratio and pitch-to-height ratio of 10. Uniform heat-flux is imposed on the external side of the slab which provides Biot number and solid-to-fluid thermal conductivity ratio around 1 and 600, respectively. Through infrared thermometry measurements over the wetted surface and via an energy balance within the solid, conjugate heat transfer coefficients are calculated over a single rib-pitch. The local heat extraction is demonstrated to be a strong function of the conduction effects, observed more dominantly in the rib vicinity. Moreover, the aero-thermal effects are investigated by comparing the findings with analogous aerodynamic literature, enabling heat transfer distributions to be associated with distinct flow structures. Furthermore, the results are contrasted with the iso-heat-flux wetted boundary condition test case. Neglecting the thermal boundary condition dependence, and thus the true thermal history of the boundary layer, is demonstrated to produce large errors in heat transfer predictions.

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References

Kay, J. M., and Nedderman, R. M., 1985, Fluid Mechanics and Transfer Processes, Cambridge University Press, Cambridge, UK.
Luikov, A. V., 1974, “Conjugate Convective Heat Transfer Problems,” Int. J. Heat Mass Transfer, 17(2), pp. 257–265. [CrossRef]
Cole, K. D., 1997, “Conjugate Heat Transfer From a Small Heated Strip,” Int. J. Heat Mass Transfer, 40(11), pp. 2709–2719. [CrossRef]
Perelman, L. T., 1961, “On Conjugated Problems of Heat Transfer,” Int. J. Heat Mass Transfer, 3(4), pp. 293–303. [CrossRef]
Luikov, A. V., and Aleksachenko, V. A., 1971, “Analytical Methods of Solution of Conjugated Problems in Convective Heat Transfer,” Int. J. Heat Mass Transfer, 14(8), pp. 1047–1056. [CrossRef]
Pozzi, A., Quaranta, G., and Tognaccini, R., 2008, “A Self-Similar Unsteady Flow With Conjugated Heat Transfer,” Int. J. Heat Mass Transfer, 51(7–8), pp. 1804–1809. [CrossRef]
Mosaad, M., 1999, “Laminar Forced Convection Conjugate Heat Transfer Over a Flat Plate,” Int. J. Heat Mass Transfer, 35(5), pp. 371–375. [CrossRef]
Mori, S., Sakakibara, M., and Tanimoto, A., 1974, “Steady Heat Transfer to Laminar Flow in a Circular Tube With Conduction in the Tube Wall,” Heat Transfer-Jpn. Res., 3(2), pp. 37–46.
Barozzi, G. S., and Pagliarini, G., 1985, “A Method to Solve Conjugate Heat Transfer problems: the Case of Fully Developed Laminar Flow in a Pipe,” ASME J. Heat Transfer, 107(1), pp. 77–83. [CrossRef]
Li, Y., and Ortega, A., 1998, “Forced Convection From a Rectangular Heat Source in Uniform Shear Flow: The Conjugate Peclet Number in the Thin Plate Limit,” Intersociety Conference on Thermal Phenomena, May, Seattle, WA.
Ortega, A., and Ramanathan, S., 2003, “On the Use of Point Source Solutions for Forced Air Cooling of Electronic Components—Part II: Conjugate Forced Convection From a Discrete Rectangular Source on a Thin Conducting Plate,” ASME J. Electron. Packag., 125(2), pp. 235–243. [CrossRef]
Dorfman, A., 1982, Heat Transfer for Flow Past Non-Isothermal Bodies, Izd. Mashinostroenie, Moscow.
Dorfman, A., 1985, “A New Type of Boundary Condition in Convective Heat Transfer Problems,” Int. J. Heat Mass Transfer, 28(6), pp. 1197–1203. [CrossRef]
Dorfman, A., 2009, Conjugate Problems in Convective Heat Transfer, Taylor & Francis, London.
Dorfman, A., 1971, “Exact Solution of Thermal Boundary Layer Equation With Arbitrary Temperature Distribution on Streamlined Surface,” High Temp., 8(5), pp. 955–963.
Young, T. J., and Vafai, K., 1998, “Convective Cooling of a Heated Obstacle in a Channel,” Int. J. Heat Mass Transfer, 41(20), pp. 3131–3148. [CrossRef]
Kanna, P. R., and Das, M. K., 2006, “Conjugate Heat Transfer Study of Backward-Facing Step Flow—A Benchmark Problem,” Int. J. Heat Mass Transfer, 49(21–22), pp. 3929–3941. [CrossRef]
Simpson, R. L., 1983, “A Model for the Backflow Mean Velocity Profile,” AIAA J., 21(1), pp. 142–143. [CrossRef]
Westphal, R. V., Eaton, J. K., and Johnston, J. P., 1981, “A New Probe for Measurement of Velocity and Wall Shear Stress in Unsteady, Reversing Flow,” ASME J. Fluids Eng., 102(2), pp. 478–482. [CrossRef]
Vogel, J. C., and Eaton, J. K., 1985, “Combined Heat Transfer and Fluid Dynamic Measurements Downstream of a Backward-Facing Step,” ASME J. Heat Transfer, 107, pp. 922–929. [CrossRef]
Zukauskas, V. A., and Pedisius, K. A., 1987, “Heat Transfer to Reattached Fluid Flow Downstream of a Fence,” Wärme- und Stoffübertagung, 21(2–3), pp. 125–131. [CrossRef]
Eaton, J. K., and Johnston, J. P., 1981, “A Review of Research on Subsonic Turbulent Flow Reattachment,” AIAA J., 19(9), pp. 1093–1100. [CrossRef]
Eaton, J. K., Johnston, J. P., and Jeans, A. H., 1979, “Measurements in Reattaching Turbulent Shear Layer,” Proceedings 2nd Symposium on Turbulent Shear Flows, London.
Armaly, B. F., Durst, F., and Pereira, J. C. F., 1983, “Experimental and Theoretical Investigation of Backward-Facing Step Flow,” J. Fluid Mech., 127, pp. 473–496. [CrossRef]
Adams, E. W., and Johnston, J. P., 1988, “Effects of Separating Shear Layer on the Reattachment Flow Structure Part 2: Reattachment Length and Wall Shear Stress,” Exp. Fluids, 6, pp. 493–499.
Avancha, R. V. R., and Pletcher, R. H., 2002, “Large Eddy Simulation of the Turbulent Flow Past a Backward-Facing Step With Heat Transfer and Property Variations,” Int. J. Heat Fluid Flow, 23, pp. 601–614. [CrossRef]
Armaly, B. F., Durst, F., and Kottke, V., 1981, “Momentum, Heat, and Mass Transfer in Backward-Facing Step Flows,” Proceedings of 3rd Symposium on Turbulent Shear Flows, Davis, CA.
Sparrow, E. M., Kang, S. S., and Chuck, W., 1987, “Relation Between the Points of Flow Reattachment and Maximum Heat Transfer for Regions of Flow Separation,” Int. J. Heat Mass Transfer, 30(7), pp. 1237–1246. [CrossRef]
Aung, W., 1983, “An Experimental Study on Laminar Heat Transfer Downstream of Backsteps,” ASME J. Heat Transfer, 105(4), pp. 823–829. [CrossRef]
Seban, R. A., Emery, A., and Levy, A., 1959, “Heat Transfer to Separated and Reattached Subsonic Turbulent Flows Obtained Downstream of a Surface Step,” J. Aerosp. Sci., 28, pp. 809–814.
Kanna, P. R., and Das, M. K., 2007, “Conjugate Heat Transfer Study of a Two-Dimensional Laminar Incompressible Wall Jet Over a Backward-Facing Step,” ASME J. Heat Transfer, 129(2), pp. 220–229. [CrossRef]
Jourdain, C., Escriva, X., and Giovannini, A., 1997, “Unsteady Fow Events and Mechanisms Leading to Heat Transfer Enhancement in a Ribbed Channel,” Proceedings Eurotherm Seminar 55: Heat Transfer in Single Phase Flow.
Casarsa, L., and Arts, T., 2005, “Experimental Investigation of the Aerothermal Performance of a High Blockage Rib-Roughened Cooling Channel,” ASME J. Turbomach., 127(3), pp. 580–588. [CrossRef]
Kline, S. J., and McClintock, F. A., 1953, “Describing Uncertainties in Single-Sample Experiments,” J. Mech. Eng., 75, pp. 3–8.
Rabin, Y., 2003, “A General Model for the Propagation of Uncertainty in Measurements Into Heat Transfer Simulations and Its Application to Cryosurgery,” Cryobiology, 46, pp. 109–120. [CrossRef]
Kays, W. M., Crawford, M. E., and Weigand, B., 2005, Convective Heat and Mass Transfer, McGraw-Hill, New York.
Cukurel, B., Selcan, C., and Arts, T., 2012, “Film Cooling Extraction Effects on the Aero-thermal Characteristics of Rib Roughened Cooling Channel Flow,” ASME GT2012-68680.
Han, J. C., 2006, “Turbine Blade Cooling Studies at Texas A&M University: 1980–2004,” J. Thermophys. Heat Transfer, 20(2), pp. 161–187. [CrossRef]

Figures

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Fig. 1

Conjugate (a) versus convective (b) heat transfer

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Fig. 2

Schematic of the experimental setup

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Fig. 3

Ribbed slab FEM model

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Fig. 4

Conjugate flat plate Nusselt number

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Fig. 5

Visualization of the ribbed channel flow field [33]

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Fig. 6

Pitch temperature distribution (K)

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Fig. 7

Symmetry line temperature/normalized heat flux

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Fig. 8

Pitch enhancement factor distribution

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Fig. 9

Widthwise averaged EF and X distribution

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