Numerical Study and Geometric Investigation of Corrugated ‎Channels Subjected to Forced Convective Flows

Document Type : Research Paper

Authors

1 Graduate Program in Ocean Engineering, Federal University of Rio Grande – FURG, Av. Itália, km 8, 96203-900 Rio Grande, RS, Brazil‎

2 Environmental and Sanitary Engineering, Engineering Center, UFPel, Pelotas, RS, Brazil

3 School of Engineering, Federal University of Rio Grande – FURG, Italia Av., km 8, 96203-900 Rio Grande, RS, Brazil‎

4 University of the Valley of Bells River (Unisinos), Department of Mechanical Engineering, 950 Unisinos Av., São Leopoldo, 93022-750, Brazil

5 Graduate Program in Computational Modeling, Federal University of Rio Grande – FURG, Av. Itália, km 8, 96203-900 Rio Grande, RS, Brazil‎

Abstract

The employment of heat exchangers with complex channels has increasing importance in several engineering problems as commercial refrigeration and cooling of electronic packages. One important subject in this kind of device is the design of corrugated channels. Therefore, the present work aims at the geometric optimization of trapezoidal blocks mounted in channels subjected to steady, incompressible, laminar, two-dimensional forced convective flows. The computational domain studied here mimics the corrugated channels commonly found in micro-channel heat exchangers. For the geometrical investigation, it is employed the Constructal Design Method. The numerical simulations were performed for two Reynolds numbers (ReH) equal to 60 and 160 and constant Prandtl number (Pr = 6.99). Results demonstrated that the length/height ratios of both studied blocks (given by L1/H1 and L2/H2 ratios) have the highest sensibility over the thermal performance, showing the importance of the channel's blocks intrusion. It was also shown that the combined analysis of the ratios L1/H1 and L2/H2 was much more efficient for the improvement of the heat transfer rate in the corrugated channels. The thermal performance increased by nearly 65% when the best and worst configurations were compared.

Keywords

Main Subjects

[1] Bejan, A., Convection Heat Transfer, John Wiley & Sons, New York, 2013.
[2] Ismael, M.A., Forced convection in partially compliant channel with two alternated baffles, International Journal of Heat and Mass Transfer, 142, 2019, 118455.
[3] Iwaniszyn, M., Jodłowski, P.J., Sindera, K., Gancarczyk, A., Korpyś, M., Jędrzejczyk, R.J., Kołodziej, A., Entrance effects on forced convective heat transfer in laminar flow through short hexagonal channels: Experimental and CFD study, Chemical Engineering Journal, 405, 2021, 126635.
[4] Kakaç, S., Liu, H., Heat Exchangers: Selection, Rating and Thermal Design, CRC Press, Boca Raton, 2002.
[5] Bobič, M., Gjerek, B., Golobič, I., Bajsić, I., Dynamic behavior of a plate heat exchanger: influence of temperature disturbances and flow configurations, International Journal of Heat and Mass Transfer, 163, 2020, 120439.
[6] You, J., Feng, H., Chen, L., Xie, Z., Xia, S., Constructal design and experimental validation of a non-uniform heat generating body with rectangular cross-section and parallel circular cooling channels, International Journal of Heat and Mass Transfer, 148, 2020, 119028.
[7] Samee, A.D.M., Afzal, A., Ramis, M.K., Abdul Razak, R.K., Optimal spacing in heat generating parallel plate channel: a conjugate approach, International Journal of Thermal Sciences, 136, 2019, 267-277.
[8] Fomicheva, M., Müller, W.H., Vilchevskaya, E.N., Bessonov, N., Funnel flow of a Navier-Stokes-fluid with potential applications to micropolar media, Facta Universitatis Series: Mechanical Engineering, 17(2), 2019, 255-267.
[9] Feijó, B.C., Lorenzini, G., Isoldi, L.A., Rocha, L.A.O., Goulart, J.N.V., Dos Santos, E.D., Constructal design of forced convective flows in channels with two alternated rectangular heated bodies, International Journal of Heat and Mass Transfer, 125, 2018, 710-721.
[10] Adhikari, R.C., Wood, D.H., Pahlevani, M., An experimental and numerical study of forced convection heat transfer from rectangular fins at low Reynolds numbers, International Journal of Heat and Mass Transfer, 163, 2020, 120418.
[11] Nishimura, T., Arakawa, S., Murakami, S., Kawamura, Y., Oscillatory viscous flow in symmetric wavy-walled channels, Chemical Engineering Science, 44, 1989, 2137-2148.
[12] Vasudeviah, M., Balamurugan, K., On forced convective heat transfer for a stokes flow in a wavy channel, International Communications in Heat and Mass Transfer, 28, 2001, 289-297.
[13] Kim, S.M., Mudawar, I., Universal approach to predicting heat transfer, International Journal of Heat and Mass Transfer, 56, 2013, 238 – 250.
[14] Jing, D., Song, J., Sui, Y., Hydraulic and thermal performances of laminar flow in fractal treelike branching microchannel network with wall velocity slip, Fractals, 28, 2020, 2050022.
[15] Lyu, Z., Pourfattah, F., Arani, A.A.A., Asadi, A., Foong, L.K., On the thermal performance of a fractal microchannel subjected to water and kerosene carbon nanotube nanofluid, Scientific Reports, 10, 2020, 7243.
[16] Durgam, S., Venkateshan, S.P., Sundararajan, T., Experimental and numerical investigations on optimal distribution of heat source array under natural and forced convection in a horizontal channel, International Journal of Thermal Sciences, 115, 2017, 125 – 138.
[17] Sheikholeslami, M., Farshad, S.A., Shafee, A., Babazadeh, H., Performance of solar collector with turbulator involving nanomaterial turbulent regime, Renewable Energy, 163, 2021, 1222–1237.
[18] Sheikholeslami, M., Farshad, S.A., Nanoparticle transportation inside a tube with quad-channel tapes involving solar radiation, Powder Technology, 378(A), 2021, 145 – 159.
[19] Sheikholeslami, M., Jafaryar, M., Said, Z., Alsabery, A.I., Babazadeh, H., Shafee, A., Modification for helical turbulator to augment heat transfer behavior of nanomaterial via numerical approach, Applied Thermal Engineering, 182, 2021, 115935.
[20] Sheremet, M.A., Oztop, H.F., Pop, I., MHD natural convection in an inclined wavy cavity with corner heater filled with a nonofluid, Journal of Magnetism and Magnetic Materials, 416, 2016, 37 – 47.
[21] Sheikholeslami, M., Oztop, H.F., MHD free convection of nanofluid in a cavity with sinusoidal walls by using CVFEM, Chinese Journal of Physics, 55(6), 2017, 2291–2304.
[22] Afrand, M., Pordanjani, A.H., Aghakhani, S., Oztop, H.F., Abu-Hamdeh, N., Free convection and entropy generation of a nanofluid in a tilted triangular cavity exposed to a magnetic field with sinusoidal wall temperature distribution considering radiation effects, International Communications in Heat and Mass Transfer, 112, 2020, 104507.
[23] Bejan, A., Shape and Structure, from Engineering to Nature, Cambridge Univ. Press, Cambridge, 2000.
[24] Bejan, A., Lorente, S., Design with Constructal Theory, Wiley, New Jersey, 2008.
[25] Bejan, A., Zane, J.P., Design in Nature, Doubleday, New York, 2012.
[26] Bejan, A., The Physics of Life: The Evolution of Everything, St. Martins, New York, 2016.
[27] Bejan, A., Freedom and Evolution: Hierarchy in Nature, Society and Science. Springer Nature, Switzerland, 2020.
[28] Bejan, A., Evolution in thermodynamics, Applied Physics Review, 4, 2017, 011305.
[29] Hajmohammadi, M.R., Optimal design of tree-shaped inverted fins, International Journal of Heat and Mass Transfer, 116, 2018, 1352–1360.
[30] Estrada, E.S.D., Barreto, E.X., Isoldi, L.A., dos Santos, E.D., Lorente, S., Rocha, L.A.O., Constructal design of tree shaped cavities inserted into a cylindrical body with heat generation, International Journal of Thermal Sciences, 152, 2020, 106342-106342-10.
[31] Mosa, M., Labat, M., Lorente, S., Constructal design of flow channels for radiant cooling panels, International Journal of Thermal Sciences, 145, 2019, 106052.
[32] Teixeira, F.B., Lorenzini, G., Errera, M.R., Rocha, L.A.O., Isoldi, L.A., Dos Santos, E.D., Constructal Design of triangular arrangements of square bluff bodies under forced convective turbulent flows, International Journal of Heat and Mass Transfer, 126, 2018, 521 – 535.
[33] Vieira, R.S., Petry, A.P., Rocha, L.A.O., Isoldi, E.D., Dos Santos, E.D., Numerical evaluation of a solar chimney geometry for different ground temperatures by means of constructal design, Renewable Energy, 109, 2017, 222–234.
[34] Martins, J.C., Goulart, M.M., Gomes, M.N., Souza, J.A., Rocha, L.A.O., Isoldi, L.A., Dos Santos, E.D., Geometric Evaluation of the Main Operational Principle of an Overtopping Wave Energy Converter by Means of Constructal Design, Renewable Energy, 118, 2018, 727–741.
[35] Wu, Z., Feng, H., Chen, L., Xie, Z., Cai, C., Pumping power minimization of an evaporator in ocean thermal energy conversion system based on Constructal theory, Energy, 181, 2019, 974 – 984.
[36] Seibt, F.M., de Camargo, F.V., Dos Santos E.D., Gomes, M.N., Rocha, L.A.O., Isoldi, L.A., Fragassa C., Numerical Evaluation on the Efficiency of the Submerged Horizontal Plate Type Wave Energy Converter, FME Transactions, 47(2), 2019, 543-551.
[37] Magalhães, G.M.C., Fragassa, C., Lemos, R.L., Isoldi, L.A., Amico, S.C., Rocha, L.A.O., Souza, J.A., Dos Santos, E.D., Numerical Analysis of the Influence of Empty Channels Design on Performance of Resin Flow in a Porous Plate, Applied Sciences, 10(11), 2020, 4054.
[38] Mardanpour, P., Izadpanahi, E., Powell, S., Rastkar, S., Bejan, A., Inflected wings in flight: uniform flow of stresses makes strong and light wings for stable flight, Journal of Theoretical Biology, 508, 2021, 110452.
[39] Lima, J.P.S., Cunha, M.L., Dos Santos, E.D., Rocha, L.A.O., Real, M.V., Isoldi, L.A., Constructal Design for the ultimate buckling stress improvement of stiffened plates submitted to uniaxial compressive load, Engineering Structures, 203, 2020, 109883.
[40] Adewumi, O.O., Bello-Ochende, T., Meyer, J.P., Constructal Design of Combined Microchannel and Micro Pin Fns for Electronic Cooling, International Journal of Heat and Mass Transfer, 66, 2013, 315–323.
[41] Teixeira, F.B., Altnetter, M.V., Lorenzini, G., Rodriguez, B.D. do A., Rocha, L.A.O., Isoldi, L.A., Dos Santos, E.D., Geometrical evaluation of a channel with alternated mounted blocks under mixed convection laminar flows using Constructal Design, Journal of Engineering Thermophysics, 29, 2020, 92–113.
[42] Versteeg, H.K., Malalasekera, W., An Introduction to Computational Fluid Dynamics—The Finite Volume Method, Longman, London, 2007.
[43] Patankar, S.V., Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York, 1980.
[44] ANSYS, 14.0, FLUENT User’s Guide, ANSYS Inc., 2011.
[45] Sahu, A.K., Chhabra, R.P., Eswaran, V., Effects of Reynolds and Prandtl numbers on heat transfer from a square cylinder in the unsteady flow regime, International Journal of Heat and Mass Transfer, 52, 2009, 839 – 850.
[46] Feijó, B.C., Pereira, M.S., Teixeira, F.B., Isoldi, L.A., Rocha, L.A.O., Goulart, J.N.V., Dos Santos, E.D., Constructal Design Applied to a Channel with Triangular Fins Submitted to Forced Convection, Defect and Diffusion Forum, 372, 2017, 152-162.