3D Numerical Modelling of Turbulent Flow in a Channel Partially Filled with Different Blockage Ratios of Metal Foam

Document Type : Regular Article

Authors

Department of Mechanical Engineering, National Institute of Technology, Karnataka, Surathkal, Mangalore 575025, India

10.47176/jafm.17.3.2189

Abstract

The aim of the present research work is to understand the intricacies of fluid flow through a rectangular channel that has been partially filled with a metal foam block of different blockage ratio (0.16-1), with a pore density (5–30 Pores Per Inch i.e. PPI), along with varying inlet velocity (6.5–12.5 m/s). For the porous region, numerical solutions are acquired using the Darcy Extended Forchheimer model. The Navier-Stokes equation is used in the non-porous zone. Different flow behaviours were seen as a function of PPI, height, and inlet velocity. The pressure drop increases with inlet velocity, PPI, and block height, with a maximum value of approximately 4.5 kPa for the case of 30 PPI, 12.5 m/s, and a blockage ratio of 1. Results show that the existence and location of the formation of eddies depends on the inlet velocity, PPI, and blockage ratio. Such studies have been reported less and will aid research on forced convection through a channel partially filled with metal foam and optimisation studies between increased heat transmission and the additional pressure drop for the same by providing a detailed fluid flow analysis.

Keywords

Main Subjects


Abdedou, A., & Bouhadef, K. (2015). Comparison between two local thermal non equilibrium criteria in forced convection through a porous channel. Journal of Applied Fluid Mechanics, 8(3), 491–498. https://doi.org/10.18869/acadpub.jafm.67.222.22233
Alkam, M. K., & Al-Nimr, M. A. (1999). Solar collectors with tubes partially filled with porous substrates. ASME. Journal of Solar Energy Engineering, 121(1), 20–24. https://doi.org/10.1115/1.2888137
Anderson, K., Shafahi, M., & Gutierrez, A. (2015). Numerical study of forced air cooling of a heated porous foam pyramid array. Journal of Applied Fluid Mechanics, 8(4), 727–734. https://doi.org/10.18869/acadpub.jafm.67.223.22675
Anuar, F. S., Abdi, I. A., Hooman, K. (2018a). Flow visualization study of partially filled channel with aluminium foam block. International Journal of Heat and Mass Transfer, 127, 1197–1211. https://doi.org/10.1016/J.IJHEATMASSTRANSFER.2018.07.047
Anuar, F. S., Abdi, I. A., Odabaee, M., Hooman, K. (2018b). Experimental study of fluid flow behaviour and pressure drop in channels partially filled with metal foams. Experimental Thermal and Fluid Science, 99, 117–128. https://doi.org/10.1016/j.expthermflusci.2018.07.032
Anuar, F. S., Malayeri, M. R., & Hooman, K. (2017). Particulate fouling and challenges of metal foam heat exchangers. Heat Transfer Engineering, 38(7–8), 730–742. https://doi.org/10.1080/01457632.2016.1206415
Bidar, B., Shahraki, F., & Mohebbi-Kalhori, D. (2016). 3D numerical modelling of convective heat transfer through two-sided vertical channel symmetrically filled with metal foams. Periodica Polytechnica Mechanical Engineering, 60(4), 193–202. https://doi.org/10.3311/PPme.8511
Boomsma, K., Poulikakos, D., & Zwick, F. (2003). Metal foams as compact high performance heat exchangers. Mechanics of Materials, 35(12), 1161–1176. https://doi.org/10.1016/j.mechmat.2003.02.001
Chand, R., Rana, G. C., & Hussein, A. K. (2015). On the onsetof thermal instability in a low prandtl number nanofluid layer in a porous medium. Journal of Applied Fluid Mechanics, 8(2), 265–272. https://doi.org/10.18869/acadpub.jafm.67.221.22830
Chumpia, A., & Hooman, K. (2014). Performance evaluation of single tubular aluminium foam heat exchangers. Applied Thermal Engineering, 66(1–2), 266–273. https://doi.org/10.1016/j.applthermaleng.2014.01.071
Diani, A., Bodla, K. K., Rossetto, L., & Garimella, S. V. (2014). Numerical analysis of air flow through metal foams. Energy Procedia, 45, 645–652. https://doi.org/10.1016/j.egypro.2014.01.069
Dukhan, N., Ba áci, Ö., & Özdemir, M. (2015). Thermal development in open-cell metal foam: An experiment with constant wall heat flux. International Journal of Heat and Mass Transfer, 85, 852–859. https://doi.org/10.1016/j.ijheatmasstransfer.2015.02.047
Ejlali, A., Ejlali, A., Hooman, K., & Gurgenci, H. (2009). Application of high porosity metal foams as air-cooled heat exchangers to high heat load removal systems. International Communications in Heat and Mass Transfer, 36(7), 674–679. https://doi.org/10.1016/j.icheatmasstransfer.2009.03.001
Hamadouche, A., Nebbali, R., Benahmed, H., Kouidri, A., & Bousri, A. (2016). Experimental investigation of convective heat transfer in an open-cell aluminum foams. Experimental Thermal and Fluid Science, 71, 86–94. https://doi.org/10.1016/j.expthermflusci.2015.10.009
Han, X. H., Wang, Q., Park, Y. G., T’Joen, C., Sommers, A., & Jacobi, A. (2012). A review of metal foam and metal matrix composites for heat exchangers and heat sinks. In Heat Transfer Engineering, 33(12), 991–1009. https://doi.org/10.1080/01457632.2012.659613
Jadhav, P. H., G, T., Gnanasekaran, N., & Mobedi, M. (2022). Performance score based multi-objective optimization for thermal design of partially filled high porosity metal foam pipes under forced convection. International Journal of Heat and Mass Transfer, 182. https://doi.org/10.1016/j.ijheatmasstransfer.2021.121911
Jadhav, P. H., Nagarajan, G., & Perumal, D. A. (2021). Conjugate heat transfer study comprising the effect of thermal conductivity and irreversibility in a pipe filled with metallic foams. Heat and Mass Transfer/Waerme- Und Stoffuebertragung, 57(6), 911–930. https://doi.org/10.1007/s00231-020-03000-x
Kamath, P. M., Balaji, C., & Venkateshan, S. P. (2011). Experimental investigation of flow assisted mixed convection in high porosity foams in vertical channels. International Journal of Heat and Mass Transfer, 54(25–26), 5231–5241. https://doi.org/10.1016/j.ijheatmasstransfer.2011.08.020
Kotresha, B., & Gnanasekaran, N. (2020). Numerical simulations of fluid flow and heat transfer through aluminum and copper metal foam heat exchanger–a comparative study. Heat Transfer Engineering, 41(6–7), 637–649. https://doi.org/10.1080/01457632.2018.1546969
Kouidri, A., & Madani, B. (2016). Experimental hydrodynamic study of flow through metallic foams: Flow regime transitions and surface roughness influence. Mechanics of Materials, 99, 79–87. https://doi.org/10.1016/j.mechmat.2016.05.007
Kurtbas, I., & Celik, N. (2009). Experimental investigation of forced and mixed convection heat transfer in a foam-filled horizontal rectangular channel. International Journal of Heat and Mass Transfer, 52(5–6), 1313–1325. https://doi.org/10.1016/j.ijheatmasstransfer.2008.07.050
Kuznetsov, A. V. (1996). Analytical investigation of the fluid flow in the interface region between a porous medium and a clear fluid in channels partially filled with a porous medium. Applied Scientific Research, 56.
Li, W. Q., Li, Y. X., Yang, T. H., Zhang, T. Y., & Qin, F. (2023). Experimental investigation on passive cooling, thermal storage and thermoelectric harvest with heat pipe-assisted PCM-embedded metal foam. International Journal of Heat and Mass Transfer, 201, 123651. https://doi.org/10.1016/j.ijheatmasstransfer.2022.123651
Liu, Z. Bin, He, Y. L., Qu, Z. G., & Tao, W. Q. (2015). Experimental study of heat transfer and pressure drop of supercritical CO2 cooled in metal foam tubes. International Journal of Heat and Mass Transfer, 85, 679–693. https://doi.org/10.1016/j.ijheatmasstransfer.2015.02.013
Lu, W., Zhang, T., & Yang, M. (2016). Analytical solution of forced convective heat transfer in parallel-plate channel partially filled with metallic foams. International Journal of Heat and Mass Transfer, 100, 718–727. https://doi.org/10.1016/j.ijheatmasstransfer.2016.04.047
Mancin, S., Zilio, C., Rossetto, L., & Cavallini, A. (2010). Experimental and analytical study of heat transfer and fluid flow through Aluminum foams. AIP Conference Proceedings, American Institute of Physics. https://doi.org/10.1063/1.3453829
Mostafavi, M., & Meghdadi Isfahani, A. H. (2017). A new formulation for prediction of permeability of nano porous structures using lattice botzmann method. Journal of Applied Fluid Mechanics, 10(2), 639–649. https://doi.org/10.18869/acadpub.jafm.73.239.26702
Muley, A., Kiser, C., Sundén, B., & Shah, R. K. (2012). Foam heat exchangers: A technology assessment. Heat Transfer Engineering, 33(1), 42–51. https://doi.org/10.1080/01457632.2011.584817
Narasimmanaidu, S. R., Anuar, F. S., Sa’at, F. A. M., & Tokit, E. M. (2021). Numerical and experimental study of flow behaviours in porous structure of aluminium metal foam. Evergreen Joint Journal of Novel Carbon Resource Sciences & Green Asia Strategy, 8(3), 658-666. https://doi.org/10.5109/4491842
Nield, D. A., & Bejan, A. (2005). Convection in porous media. 3rd ed., Berlin, Germany: Springer.
Nithyanandam, K., & Singh, P. (2022). Enhanced forced convection through thin metal foams placed in rectangular ducts. Heat Transfer Engineering, 837-852, https://doi.org/10.1080/01457632.2022.2102960
Odabaee, M., & Hooman, K. (2011). Application of metal foams in air-cooled condensers for geothermal power plants: An optimization study. International Communications in Heat and Mass Transfer, 38(7), 838–843. https://doi.org/10.1016/j.icheatmasstransfer.2011.03.028
Odabaee, M., & Hooman, K. (2012). Metal foam heat exchangers for heat transfer augmentation from a tube bank. Applied Thermal Engineering, 36(1), 456–463. https://doi.org/10.1016/j.applthermaleng.2011.10.063
Sener, M., Yataganbaba, A., & Kurtbas, I. (2016). Forchheimer forced convection in a rectangular channel partially filled with aluminum foam. Experimental Thermal and Fluid Science, 75, 162–172. https://doi.org/10.1016/j.expthermflusci.2016.02.003
Shuja, S. Z., & Yilbas, B. S. (2007). Flow over rectangular porous block in a fixed width channel: Influence of porosity and aspect ratio. International Journal of Computational Fluid Dynamics, 21(7–8), 297–305. https://doi.org/10.1080/10618560701624518
Sung, H. J., Kim, S. Y., & Hyun, J. M. (1995). Forced convection from an isolated heat source in a channel with porous medium. International Journal of Heat and Fluid Flow, 16(6), 527–535. https://doi.org/10.1016/0142-727X(95)00032-L
T’Joen, C., De Jaeger, P., Huisseune, H., Van Herzeele, S., Vorst, N., & De Paepe, M. (2010). Thermo-hydraulic study of a single row heat exchanger consisting of metal foam covered round tubes. International Journal of Heat and Mass Transfer, 53(15–16), 3262–3274. https://doi.org/10.1016/j.ijheatmasstransfer.2010.02.055
Tikadar, A., & Kumar, S. (2022). Investigation of thermal-hydraulic performance of metal-foam heat sink using machine learning approach. International Journal of Heat and Mass Transfer, 199, 123438. https://doi.org/10.1016/j.ijheatmasstransfer.2022.123438
Trilok, G., Gnanasekaran, N., & Mobedi, M. (2021). Various trade-off scenarios in thermo-hydrodynamic performance of metal foams due to variations in their thickness and structural conditions. Energies, 14(24). https://doi.org/10.3390/en14248343
Wang, H., Ying, Q. F., Lichtfouse, E., & Huang, C. G. (2023). boiling heat transfer in copper foam bilayers in positive and inverse gradients of pore density. Journal of Applied Fluid Mechanics, 16(5), 973–982. https://doi.org/10.47176/jafm.16.05.1624
Xu, H. J., Qu, Z. G., Lu, T. J., He, Y. L., & Tao, W. Q. (2011). Thermal modeling of forced convection in a parallel-plate channel partially filled with metallic foams. Journal of Heat Transfer, 133(9). https://doi.org/10.1115/1.4004209