Abstract
Energy conservation and sustainable development demands have been driving research efforts, within the scope of thermal engineering, towards more energy efficient equipments and processes. In this context, the scale reduction in mechanical fabrication has been permitting the miniaturization of thermal devices, such as in the case of micro-heat exchangers [1]. More recently, heat exchangers employing micro-channels with characteristic dimensions below 500 μm have been calling the attention of researchers and practitioners, towards applications that require high heat removal demands and/or space and weight limitations [2]. Recent review works [2, 3] have pointed out discrepancies between experimental results and classical cor-relation predictions of heat transfer coefficients in micro-channels. Such deviations have been stimulating theoretical research efforts towards a better agreement between experiments and simulations, through the incorporation of different effects that are either typically present in micro-scale heat transfer or are effects that are normally disregarded at the macro-scale and might have been erroneously not accounted for in micro-channels. Our own research effort was first related to the fundamental analysis of forced convection within micro-channels with and without slip flow, as required for the design of micro-heat exchangers in steady, periodic and transient regimen [4, 5]. Also recently in Refs. [6–11], the analytical contributions were directed towards more general problem formulations, including viscous dissipation, axial diffusion in the fluid and three-dimensional flow geometries. Then, this fundamental research was extended to include the effects of axial fluid heat conduction and wall corrugation or roughness on heat transfer enhancement [12]. The work of Maranzana et al. [13] further motivated the present analysis, dealing with longitudinal wall heat conduction effects in symmetric micro-channels.
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C.B. Sobhan and G.P. Peterson, Microscale and Nanoscale Heat Transfer: Fundamentals and Engineering Applications, CRC Press, Boca Raton, FL (2008).
Y. Yener, S. Kakaç, M. Avelino, and T. Okutucu, Single-phase Forced Convection in Micro-channels - a State-of-the-art Review, in: S. Kakaç, L.L. Vasiliev, Y. Bayazitoglu, Y. Yener (Eds.), Microscale Heat Transfer-Fundamentals and Applications, NATO ASI Series, Kluwer Academic Publishers, The Netherlands, pp. 1–24 (2005).
G.L. Morini, Single-Phase Convective Heat Transfer in Microchannels: a Review of Experimental Results, Int. J. of Thermal Sciences, 43, 631–651 (2004).
M.D. Mikhailov and R.M. Cotta, Mixed Symbolic-Numerical Computation of Convective Heat Transfer with Slip Flow in Microchannels, Int. Comm. Heat & Mass Transfer, 32, 341–348 (2005).
R.M. Cotta, S. Kakaç, M.D. Mikhailov, F.V. Castellões, C.R. Cardoso, Transient Flow and Thermal Analysis in Microfluidics, in: S. Kakaç, L.L. Vasiliev, Y. Bayazitoglu, Y. Yener (Eds.), Microscale Heat Transfer - Fundamentals and Applications, NATO ASI Series, Kluwer Academic Publishers, The Netherlands, pp. 175–196 (2005).
S. Yu and T.A. Ameel, Slip Flow Heat Transfer in Rectangular Microchannels, Int. J. Heat Mass Transfer, 44, 4225–4234 (2001).
G. Tunc and Y. Bayazitoglu, Heat Transfer in Microtubes with Viscous Dissipation, Int. J. Heat Mass Transfer, 44, 2395–2403 (2001).
G. Tunc and Y. Bayazitoglu, Heat Transfer in Rectangular Microchannels, Int. J. Heat Mass Transfer, 45, 765–773 (2002).
F.V. Castellões and R.M. Cotta, Analysis of Transient and Periodic Convection in Micro-channels via Integral Transforms, Progress in Computational Fluid Dynamics, 6, 321–326 (2006).
F.V. Castellões, C.R. Cardoso, P. Couto, and R.M. Cotta, Transient Analysis of Slip Flow and Heat Transfer in Microchannels, Heat Transfer Engineering, 28, 549–558 (2007).
J.S. Nunes, P. Couto, and R.M. Cotta, Conjugated Heat Transfer Problem in Rectangular Micro-channels under Asymmetric Conditions, Proc. of 5th National Congress of Mechanical Engineering, CONEM 2008, ABCM, Paper no. CON08-0739, Salvador, BA, August 2008.
F.V. Castellões and R.M. Cotta, Heat Transfer Enhancement in Smooth and Corrugated Microchannels, Proc. of the 7th Minsk Int. Seminar on Heat Pipes, Heat Pumps, Refrigerators, Invited Lecture, Minsk, Belarus, 8–11 September 2008.
G. Maranzana, I. Perry, and D. Maillet, Mini- and Micro-channels: Influence of Axial Conduction in the Walls, Int. J. Heat and Mass Transfer, 47, 3993–4004 (2004).
Y.L. Perelman, On Conjugate Problems of Heat Transfer, Int. J. Heat and Mass Transfer, 3, 293–303 (1961).
A.V. Luikov, V.A. Aleksashenko, and A.A. Aleksashenko, Analytical Methods of Solution of Conjugated Problems in Convective Heat Transfer, Int. J. Heat and Mass Transfer, 14, 1047–1056 (1971).
R.O.C. Guedes, R.M. Cotta, and N.C.L. Brum, Conjugated Heat Transfer in Laminar Flow Between Parallel - Plates Channel, 10th Brazilian Congress of Mechanical Engineering, Rio de Janeiro, Brazil, 1989.
R.O.C. Guedes, R.M. Cotta, and N.C.L. Brum, Heat Transfer in Laminar Tube Flow with Wall Axial Conduction Effects, J. Thermophysics & Heat Transfer, 5 (4), 508–513 (1991).
R.O.C. Guedes and R.M. Cotta, Periodic Laminar Forced Convection within Ducts Including Wall Heat Conduction Effects, Int. J. Eng. Science, 29 (5), 535–547 (1991).
F.G. Elmor, R.O.C. Guedes, and F.N. Scofano, Improved Lumped Solution for Conjugate Heat Transfer In Channel Flow with Convective Boundary Condition, Int. J. Heat & Technology, pp. 78–88 (2005).
C.P. Naveira, M. Lachi, R. M. Cotta, and J. Padet, Hybrid Formulation and Solution for Transient Conjugated Conduction-External Convection, Int. J. Heat & Mass Transfer, 52, 112–123 (2009).
C.P. Naveira-Cotta, M. Lachi, M. Rebay, and R.M. Cotta, “Comparison of Experiments and Hybrid Simulations of Transient Conjugated Conduction-Convection-Radiation, ICCHMT International Symposium on Convective Heat and Mass Transfer in Sustainable Energy, CONV-09, Yasmine Hammamet, Tunisia, April 2009.
S. Wolfram, The Mathematica Book, version 7.0, Cambridge-Wolfram Media (2008).
R.M. Cotta, Integral Transforms in Computational Heat and Fluid Flow, CRC Press, USA (1993).
R.M. Cotta and M.D. Mikhailov, Heat Conduction: Lumped Analysis, Integral Transforms, Symbolic Computation, Wiley-Interscience, NY (1997).
R.M. Cotta, The Integral Transform Method in Thermal and Fluids Sciences and Engineering, Begell House, New York (1998).
R.M. Cotta and M.D. Mikhailov, Hybrid Methods and Symbolic Computations, in: W.J. Minkowycz, E.M. Sparrow, and J.Y. Murthy (Eds.), Handbook of Numerical Heat Transfer, 2nd ed., Wiley, New York, pp. 493–522 (2006).
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The authors would like to acknowledge the financial support provided by CNPq, Brasil, RJ.
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Nunes, J.S., Cotta, R.M., Avelino, M.R., Kakaç, S. (2010). Conjugated Heat Transfer in Microchannels. In: Kakaç, S., Kosoy, B., Li, D., Pramuanjaroenkij, A. (eds) Microfluidics Based Microsystems. NATO Science for Peace and Security Series A: Chemistry and Biology. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9029-4_4
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