Modeling the Effect of Porosity on a Solar Water-cooled Coil Filled with Water and Al2O3 Nanofluid

Authors

Abstract

This study focuses on the flow analysis of alumina nanofluid with volumetric ratios of 2% and 4% into non-porous and porous thermal coils under solar heat flux.. Furthermore, the comprehensive study of the nature of boundary layers, the pressure and velocity distributions, and the thermal effects inside the metal porous coil are discussed. To solve the problem, the equations of continuity, momentum, and energy for nanofluid into non-porous and porous coils are used. The comparison between results of average Nusselt number at the present model and experimental data for a non-porous coil shows an acceptable agreement with maximum error of 10.5%. In porous coil, increasing the volumetric ratio of nanofluid has resulted in an increase in the pressure losses where these largest values occurred at 4% volumetric ratio with a value of 4.4 bar. By increasing the volumetric ratio, the amount of convection heat transfer coefficient and Nusselt number are raised and, consequently, the transferred heat into the porous thermal coil will increase.

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[1] Chakole, M. M., Heat Transfer Enhancement Techniques. with Special Attention to Passive Methods of Heat Transfer Enhancement, Anchor Academic Publishing, 2016. [2] Behnampourm A., Akbari, A., Safaei, M. R., Ghavami, M., Marzban, A., Ahmadi, G., zarringhalam, M., and Mashayekhi, R., "Analysis of Heat Transfer and Nanofluid Flow in Microchannels with Trapezoidal, Rectangular and Triangular Shaped Ribs", Physica E, Vol. 91, No. 17, pp. 15–31, 2017. [3] Davarnejad, R., and Ardehali, R. M., "Modeling of TiO2-water Nanofluid Effect on Heat Transfer and Pressure Drop", International Journal of Engineering, Vol. 27, No. 2, pp. 195–202, 2014. [4] Karimipour, A., and Orazio, A. D., "The Effects of Different Nano Particles of Al2O3 and Ag on The MHD Nanofluid Flow and Heat Transfer in a Microchannel Including Slip Velocity and Temperature Jump", Physica E, Vol. 86, No. 16, pp. 146–153, 2016. [5] Keshavarz, M., Darabi, M., Mohammad, S., Haddad, H., and Davarnejad, R., "Modeling of Convective Heat Transfer of a Nano Fluid in The Developing Region of Tube Flow with Computational Fluid Dynamics", International Communicate Heat and Mass Transfer, Vol. 38, No. 9, pp. 1291–1295, 2011. ]6[ دلیل، زارع، «بررسی روش‌های موجود برای محاسبۀ ضریب هدایت گرمایی در نانوسیال‌ها»، ستاد ویژۀ توسعۀ فناوری نانو، دورۀ 10، شمارۀ 198، صفحۀ 1ـ۱۱، 1394. [7] Zeinali Heris, S., Noie, S. H., Talaii, E., and Sargolzaei, J., "Numerical Investigation of Al2O3/Water Nanofluid Laminar Convective Heat Transfer Through Triangular Ducts", Nanoscale Research Letter, Vol. 6, No. 1, pp. 179, 2011. [8] Wen, D., and Ding, Y., "Experimental Investigation into Convective Heat Transfer of Nanofluids at the Entrance Region Under Laminar Flow Conditions", International Journal of Heat and Mass Transfer, Vol. 47, pp. 5181–5188, 2004. [9] Sasmito, A. P., Kurnia, J. C., and Mujumdar, A. S., "Numerical Evaluation of Laminar Heat Transfer Enhancement in Nanofluid Flow in Coiled Square Tubes", Nanoscale Research Letters, pp. 1–14, 2011. [10] Sabir, R., Ramzan, N., Umer, A., and Muryam, H., "An Exprimental Study of Forced Convective Heat Transfer Characteristic of Gold Water Nanofluid in Laminar Flow", Science International, Vol. 27, No. 1, pp. 235–241, 2015. [11] Abdulrasool, H., Sopian, K., Hameed, A., and Al-shamani, A. N., "Experimental Investigation of Jet Array Nanofluids Impingement in Photovoltaic / Thermal Collector", Solar energy, Vol. 144, pp. 321–334, 2017. [12] Kabeel, A. E., and Abdelgaied, M., "Study on The Effect of Alumina Nano-Fluid on Sharp-Edge Orifice Flow Characteristics in Both Cavitations and Non-Cavitations Turbulent Flow Regimes", Alexandria Engineering Journal, Vol. 55, pp. 1–7, 2016. [13] Sik, K., Pil, S., and Choi, S. U., "Flow And Convective Heat Transfer Characteristics of Water-Based Al2O3 Nanofluids in Fully Developed Laminar Flow Regime", International Journal of Heat and Mass Transfer, Vol. 52, No. 1, pp. 193–199, 2009. [14] Bayomy, A. M., and Saghir, M. Z., "Experimental Study of Using C-Al2O3–Water Nanofluid Flow Through Aluminum Foam Heat Sink", International Journal of Heat and Mass Transfer, Vol. 107, pp. 181–203, 2017. ]15[ رضاپور، مجتبی، فنایی، سید ابوذر، «مدل‌سازی تأثیرات حرارتی-سیالی محیط متخلخل بر مخلوط هیدروژن-هوا عبوری از آن با نرم‌افزار Comsol»، چهارمین کنفرانس هیدروژن و پیل سوختی، 1396. [16] Furman, E. L., Finkelstein, A. B., and Cherny, M. L., "Permeability of Aluminium Foams Produced By Replication Casting", Metals (Basel)., Vol. 8, pp. 49–57, 2013. [17] Dukhan, N., and Chen,, K. C., "Heat Transfer Measurements in Metal Foam Subjected to Constant Heat Flux", Experimental Thermal and Fluid Science, Vol. 32, No. 2, pp. 624–631, 2007. [18] Pourmehran, O., Rahimi-gorji, M., Hatami, M., Sahebi, S. R., and Domairry, G., "Numerical Optimization of Microchannel Heat Sink (MCHS) Performance Cooled by KKL Based Nanofluids in Saturated Porous Medium", Journal of the Taiwan Institute of Chemical Engineers, Vol. 20, pp. 1–20, 2015. [19] Hamdan, M. H., "Single-Phase Flow Through Porous Channels a Review of Flow Models and Channel Entry Conditions", Applied Mathematics and Compotatzon, Vol. 222, pp. 203–222, 1994. [20] Bijan, A., Nield, D. A., "Convection in Porous Media Convection in Porous Media", Third Edition. Durham, North Carolina, USA, 2006. [21] Pourmehran, O., Rahimi-gorji, M., and Ganji, D. D., "Heat Transfer and Flow Analysis of Nanofluid Flow Induced by a Stretching Sheet in The Presence of an External Magnetic Field", Journal of the Taiwan Institute of Chemical Engineers, Vol. 65, pp. 1–10, 2016. [22] Dukhan, N., and Ratowski, J., "Convection Heat Transfer Analysis for Darcy Flow in Porous Media", 14th International Heat Transfer Conference, Vol. 7, pp. 1–7, 2010.