Geometrical investigation of microchannel with two trapezoidal blocks subjected to laminar convective flows with and without boiling
DOI:
https://doi.org/10.31181/rme200103020fKeywords:
Boiling flow, Microchannel, Constructal Design, Numerical study.Abstract
Microchannels are important devices to improve the heat exchange in several engineering applications as heat, ventilation and air conditioning, microelectronic cooling, power generation systems and others. The present work performs a numerical study of a microchannel with two trapezoidal blocks subjected to laminar flows, aiming to analyze the influence of the boiling process on the geometric configuration of the microchannel. Constructal Design and Exhaustive Search are used for the geometrical evaluation of the blocks. The Mixture multi-phase model and the Lee phase change model were both employed for the numerical simulation of the boiling process. In this study, the influence of the height and higher width of the first block (H11/L11) over the heat transfer rate and pressure drop for different magnitudes of the ratio between the lower width and higher width (L12/L11) was investigated. It is considered water in monophase cases and water/vapor mixture for multiphase flow. Two different Reynolds numbers (ReH = 0.1 and 10.0) were investigated. Results indicated that, for the present thermal conditions, the consideration of boiling flows were not significant for prediction of optimal configurations. Results also showed that in the cases where the boiling process was enabled, the multi-objective performance was higher than in the cases without boiling, especially for ReH = 0.1.
References
Bhati, J., Paruya, S., & Naik L, J. (2020). Numerical Simulation of Bubble Dynamics in Subcooled Flow Boiling in a Channel. Nuclear Engineering and Design, 371, 110945.
Bejan, A. (2013). Convection Heat Transfer. Hoboken, USA: John Wiley & Sons, Inc.
Bejan, A. (2020). Freedom and Evolution, Hierarchy in Nature, Society and Science. Cham, Switzerland: Springer.
Bejan, A., & Lorente, S. (2008). Design with Constructal Theory, Hoboken, New Jersey, USA: John Wiley & Sons.
Bejan, A., & Lorente, S. (2013). Constructal law of design and evolution: Physics, biology, technology, and society. Journal of Applied Physics, 113, No. 151301.
Bejan, A., & Zane, J. P. (2012). Design in Nature. New York, USA: Doubleday.
Bello-Ochende, T., Meyer, J. P., & Bejan, A. (2009). Constructal Ducts with wrinkled entrances. International Journal of Heat and Mass Transfer, 52, 3628-3633.
Biserni, C., Rocha, L. A. O., Stanescu, G., & Lorenzini, E. (2007). Constructal H-shaped cavities according to Bejan’s theory. International Journal of Heat and Mass Transfer, 50, 2132-2138.
Chen, J. C. (1966). Correlation for Boiling Heat Transfer to Saturated Fluids in Convective Flow. Industrial and Engineering Chemistry Process Design and Development, 5, 322.
Collier, J.G., & Thome, J.R. (1994). Convective Boiling and Condensation. (3rd ed.) Oxford, United Kingdom: Clarendon Press.
Feijó, B. C., Lorenzini, G., Isoldi, L. A., Rocha, L. A. O., Goulart, J. N. V., & Dos Santos, E. D. (2018). Constructal design of forced convective flows in channels with two alternated rectangular heated bodies. International Journal of Heat and Mass Transfer, 125, 710-721.
FLUENT, Documentation Manual – FLUENT 14.5 (2013).
Ghani, I. A., Sidik, N. A. C., & Kamaruzaman, N. (2017). Hydrothermal performance of microchannel heat sink: The effect of channel design. International Journal of Heat and Mass Transfer, 107, 21–44.
Gonzales, G. V., Estrada, E. da S. D., Emmendorfer, L. R., Isoldi, L. A., Xie, G., Rocha, L. A. O., & Dos Santos, E. D. (2015). A Comparison of Simulated Annealing Schedules for Constructal Design of Complex Cavities Intruded into Conductive Walls with Internal Heat Generation. Energy, 93, 372 – 382.
Gonzales, G. V., Lorenzini, G., Isoldi, L. A., Rocha, L. A. O., Dos Santos, E. D., & Silva Neto, A.J. (2021). Constructal Design and Simulated Annealing Applied to the Geometric Optimization of an Isothermal Double T-Shaped Cavity. International Journal of Heat and Mass Transfer, 174, 121268.
Hermani, L., Lorenzini, G., Klein, R. J., Zinani, F. F., Dos Santos, E. D., Isoldi, L. A., & Rocha, L. A. O. (2018) Constructal Design Applied to Elliptic Tubes in Convective Heat Transfer Cross-Flow of Viscoplastic Fluids. International Journal of Heat and Mass Transfer, 116, 1054 – 1063.
Kandlikar, S. G., & Grande, W. J. (2003). Evolution of Microchannel Flow Passages – Thermohydraulic Performance and Fabrication Technology. Heat Transfer Engineering, 25, 1.
Kandlikar, S. G., Shoji, M., & Dhir, V. K. (1999). Handbook of Phase Change: Boiling and Condensation. Philadelphia, USA: Taylor & Francis.
Karayiannis, T. G., & Mahmoud, M. M. (2017). Flow boiling in microchannels: Fundamentals and applications. Applied Thermal Engineering, 115, 25, 1372-1397.
Khan, M. G., & Fartay, A. (2011). A review on microchannel heat exchangers and potential applications. Int. J. Energy Res., 35, 553–582.
Lee, W.H. (1980). A Pressure Iteration Scheme for Two-Phase Flow Modeling. Multiphase Transport Fundamentals, Reactor Safety, Applications. Washington, DC, USA.
Lorenzini, G., Garcia, F. L., Dos Santos, E. D., Biserni, C., & Rocha, L. A. O. (2012). Constructal Design Applied to the optimization of complex geometries: T-Y-shaped cavities with two additional lateral intrusions cooled by convection. International Journal of Heat and Mass Transfer, 55, 1505-1512.
Magalhães, G.C., Fragassa, C., Lemos, R.L., Isoldi, L.A., Amico, S.C., Rocha, L.A.O., Souza, J.A., & Dos Santos, E.D. (2020). Numerical Analysis of the Influence of Empty Channels Design on Performance of Resin Flow in a Porous Plate. Applied Sciences, 10, 4054.
Manninen, M., Taivassalo, V., & Kallio, S. (1996). On the Mixture Model for Multiphase Flow. VTT Publications.
Moreira, R.S.M., Escobar, C.C., Isoldi, L.A., Davesac, R.R., Rocha, L.A.O., & Dos Santos, E.D. (2021). Numerical Study and Geometric Investigation of Corrugated Channels Subjected to Forced Convective Flows. Journal of Applied and Computational Mechanics, 7, 727-738.
Naghibzadeh, S.M., Goharkhah, M., Sharifpur, M., & Meyer, J.P. (2020). Effects of Interphase Momentum Exchange Models on Simulation of Subcooled Flow Boiling. International Communications in Heat and Mass Transfer, 118, 104863.
Naqiuddin, N.H., Saw, L.H., Yew, M.C., Yusof, F., Ng, T.C., & Yew, M.K. (2018). Overview of Micro-Channel Design for High Heat Flux Application. Renewable and Sustainable Energy Reviews, 82, 901–914.
Nunes, B.R., Rodrigues, M.K., Rocha, L.A.O.; Labat, M., Lorente, S., Dos Santos, E.D., Isoldi, L.A., & Biserni, C. (2021). Numerical-Analytical Study of Earth-Air Heat Exchangers with Complex Geometries Guided by Constructal Design. International Journal of Energy Research, 45, 20970-20987.
Ohadi, M., Choo, K., Dessiatoun, S., & Cetegen, E. (2012). Emerging Applications of Microchannels. Briefs in Applied Sciences and Technology, 67–105.
Rai, S.K., Sharma, R., Saifi, M., Tyagi, R., Singh, D., & Gupta, H. (2018). Review of recent applications of micro channel in mems devices. International Journal of Applied Engineering Research, 13, 9, 64-69.
Rocha, L. A. O., Lorente, S., & Bejan, A. (2002). Constructal design for cooling a disc-shaped area by conduction. International Journal of Heat and Mass Transfer, 45, 8, 1643-1652.
Rocha, L. A. O., Lorenzini, E., & Biserni, C. (2005). Geometric optimization of shapes on basis of Bejan’s Constructal Theory. International Journal of Heat and Mass Transfer, 32, 1281-1288.
Rodrigues, M. K., Brum, R. B., Vaz, J., Rocha, L. A. O., Dos Santos, E.D., & Isoldi, L.A. (2015). Numerical investigation about the improvement of the thermal potential of an Earth-Air Heat Exchanger (EAHE) employing the Constructal Design method. Renewable Energy, 80, 538-551.
Rodrigues, P.M., Biserni, C., Escobar, C.C., Rocha, L.A.O., Isoldi, L.A., & Dos Santos, E.D. (2020). Geometric Optimization of a Lid-Driven Cavity with Two Rectangular Intrusions under Mixed Convection Heat Transfer: A Numerical Investigation Motivated by Constructal Design. International Communications in Heat and Mass Transfer, 117, 104759.
Rohsenow, W.M., Hartnett, J.P., & Cho, Y.I. (1998). Handbook of Heat Transfer. (3rd ed).USA: McGraw-Hill.
Schiller, L., & Nauman, A. (1935). A drag coefficient correlation. VDI Zeitung, 77, 318–320.
Setoodeh, H., Ding, W., Lucas, D., & Hampel, U. (2020). Modelling and Simulation of Flow Boiling with an Eulerian-Eulerian Approach and Integrated Models for Bubble Dynamics and Temperature-Dependent Heat Partioning. International Journal of Thermal Sciences, 161, 106709.
Siddiqui, O.K., & Zubair, S.M. (2017). Efficient energy utilization through proper design of microchannel heat exchanger manifolds: A comprehensive review. Renewable and Sustainable Energy Reviews, 74, 969–1002.
Song, Y., Asadi, M., Xie, G., & Rocha, L.A.O. (2015). Constructal wavy-fin channels of a compact heat exchanger with heat transfer rate maximization and pressure losses minimization. Applied Thermal Engineering, 75, 24-32.
Vivekanand, S. V. B., & Raju, V. R. K. (2015). Simulation of Evaporation Heat Transfer in Rectangular Microchannel. Procedia Engineering, 127, 309-316.
