Thermal and Hydraulic Collection of using Elliptical Channel with Composite Nanofluid in Electrical Cooling System
DOI:
https://doi.org/10.37934/cfdl.17.8.136155Keywords:
Cooling system, composite, nanofluid, heat sink, elliptical, heat transferAbstract
With the exception of a sharp rise in power and chip densities and a steady decline in the physical dimensions of thermal management, the electronic field industry's rapid advancements mean that electronic packages remain and will remain the cornerstone of the nearly crucial field in electronic producing development. It would significantly affect performance, overall design, cost and dependability. In the electronic material sector, equipment performance is being increased while equipment size is being reduced. Achieving increased power densities is the goal. One of the best places to use thermal control techniques is in the cooling system of contemporary electronics. The effectiveness of using a nanofluid made of composite materials and pure water for cooling via mini-channel heat sinks was investigated numerically. The novelty and innovation of the present work, represented via numerical analysis, cover the numerical simulation of the new design for an electrical cooling system, which involves a flat coil elliptical channel model for constant base wall temperatures using the ANSYS FLUENT 18 software. This model is based on Reynolds numbers ranging from 1.5 to 6.5 x 104 and temperatures between 330 and 320 K. The employed channels feature an elliptical cross-sectional area, with a radius of 13 mm for big channels and 7 mm for small channels due to the flat coil form. This work introduces a new use of hybrid nanofluid in flat coil channels with an elliptical shape. The channels are machined on copper block bases and have dimensions of 200 mm in width, 50 mm in height and 70 mm in length. For two base temperatures, 40.5 and 47%, respectively, the hybrid nanofluid's heat transfer coefficient is greater than that of pure water. The composite fluid's friction factor is greater than pure water's at all Reynolds numbers, measuring 17.94% and 12.86%, respectively. When compared to the outcomes of pure water, the composite nanofluid's heat transmission ability is observed to be improved. with corresponding standard deviations of 6.4% and 7.8%. The current work's numerical results for the distribution of the friction factor and Nusselt number were verified with values found in the literature and shown satisfactory agreement. The difference between the present numerical results and the experimental Nusselt number from the previous studies was improved by 4.9%, while the present numerical friction factor of composite nanofluid compared with the experimental results obtained from previous studies found an improvement of 46.8% for the present work
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[1] Faris Abdullah, Mahir, Rozli Zulkifli, Zambri Harun, Shahrir Abdullah and Wan Aizon Wan Ghopa. "Experimental and numerical simulation of the heat transfer enhancement on the twin impingement jet mechanism." Energies 11, no. 4 (2018): 927. https://doi.org/10.3390/en11040927
[2] Devireddy, Sandhya, Chandra Sekhara Reddy Mekala and Vasudeva Rao Veeredhi. "Improving the cooling performance of automobile radiator with ethylene glycol water based TiO2 nanofluids." International communications in heat and mass transfer 78 (2016): 121-126. https://doi.org/10.1016/j.icheatmasstransfer.2016.09.002
[3] Abdullah, Mahir Faris, Rozli Zulkifli, Zambri Harun, Shahrir Abdullah and Wan Aizon W. Ghopa. "Studying of convective heat transfer over an aluminum flat plate based on twin jets impingement mechanism for different Reynolds number." Int. J. Mech. Mechatron. Eng 17, no. 6 (2017): 16.
[4] Abdullah, Mahir Faris, Rozli Zulkifli, Zambri Harun, Shahrir Abdullah, Wan Aizon W. Ghopa and Ashraf Amer Abbas. "Heat transfer augmentation based on twin impingement jet mechanism." Int. J. Eng. Technol 7, no. 3.17 (2018): 209-214.
[5] Saidur, Rahman, K. Y. Leong and Hussein A. Mohammed. "A review on applications and challenges of nanofluids." Renewable and sustainable energy reviews 15, no. 3 (2011): 1646-1668. https://doi.org/10.1016/j.rser.2010.11.035
[6] Balla, Hyder H., Shahrir Abdullah, Rozli Zulkifli, Wan Mohd Faizal and Kamaruzaman Sopian. "Effect of oxides nanoparticle materials on the pressure loss and heat transfer of nanofluids in circular pipes." Journal of Applied Sciences(Faisalabad) 12, no. 13 (2012): 1396-1401. https://doi.org/10.3923/jas.2012.1396.1401
[7] Rajesh, R. and S. Sumathi. "Certain performance investigation on hybrid TiO2/Al2O3/MoS2 nanofiller coated 3∅ induction motor: a Taguchi and RSM based approach." Energy Reports 6 (2020): 1638-1647. https://doi.org/10.1016/j.egyr.2020.06.016
[8] Balla, Hyder H., Shahrir Abdullah, Wan Mohd Faizal WanMahmood, M. Abdul Razzaq, Rozli Zulkifli and Kamaruzaman Sopian. "Modelling and measuring the thermal conductivity of multi-metallic Zn/Cu nanofluid." Research on Chemical Intermediates 39 (2013): 2801-2815. https://doi.org/10.1007/s11164-012-0799-z
[9] Xie, X. L., Z. J. Liu, Y. L. He and W. Q. Tao. "Numerical study of laminar heat transfer and pressure drop characteristics in a water-cooled minichannel heat sink." Applied thermal engineering 29, no. 1 (2009): 64-74. https://doi.org/10.1016/j.applthermaleng.2008.02.002
[10] Bowers, Morris B. and Issam Mudawar. "Two-phase electronic cooling using mini-channel and micro-channel heat sinks: part 1—design criteria and heat diffusion constraints." (1994): 290-297. https://doi.org/10.1115/1.2905700
[11] Agostini, Bruno, Barbara Watel andré Bontemps and Bernard Thonon. "Liquid flow friction factor and heat transfer coefficient in small channels: an experimental investigation." Experimental Thermal and Fluid Science 28, no. 2-3 (2004): 97-103. https://doi.org/10.1016/S0894-1777(03)00027-X
[12] Lei, Ning. The thermal characteristics of multilayer minichannel heat sinks in single-phase and two-phase flow. The University of Arizona, 2006.
[13] Naphon, Paisarn and Songkran Wiriyasart. "Liquid cooling in the mini-rectangular fin heat sink with and without thermoelectric for CPU." International Communications in Heat and Mass Transfer 36, no. 2 (2009): 166-171. https://doi.org/10.1016/j.icheatmasstransfer.2008.10.002
[14] Yuki, Kazuhisa and Koichi Suzuki. "Applicability of minichannel cooling fins to the next generation power devices as a single-phase-flow heat transfer device." Transactions of The Japan Institute of Electronics Packaging 4, no. 1 (2011): 52-60. https://doi.org/10.5104/jiepeng.4.52
[15] Faris Abdullah, Mahir, Rozli Zulkifli, Zambri Harun, Shahrir Abdullah, Wan Aizon Wan Ghopa, Asmaa Soheil Najm and Noor Humam Sulaiman. "Impact of the TiO2 nanosolution concentration on heat transfer enhancement of the twin impingement jet of a heated aluminum plate." Micromachines 10, no. 3 (2019): 176. https://doi.org/10.3390/mi10030176
[16] Jalghaf, Humam Kareem, Ali Habeeb Askar and Mahir Faris Abdullah. "Improvement of heat transfer by nanofluid and magnetic field at constant heat flux on tube." Int. J. Mech. Mechatron. Eng 20 (2020): 110-120.
[17] Abdullah, Mahir Faris, Rozli Zulkifli, Zambri Harun, Shahrir Abdullah and WA Wan Ghopa. "Discussion paper: Effect of the Nanosolution Concentration on a Heated Surface of the Heat Transfer Enhancement using Twin Impingement Jet Mechanism." Int. J. Eng. Technol 7 (2020): 6200-6206.
[18] Faris Abdullah, Mahir, Rozli Zulkifli, Hazim Moria, Asmaa Soheil Najm, Zambri Harun, Shahrir Abdullah, Wan Aizon Wan Ghopa and Noor Humam Sulaiman. "Assessment of TiO2 nanoconcentration and twin impingement jet of heat transfer enhancement—a statistical approach using response surface methodology." Energies 14, no. 3 (2021): 595. https://doi.org/10.3390/en14030595
[19] Ijam, Ali, Rahman Saidur and P. Ganesan. "Cooling of minichannel heat sink using nanofluids." International Communications in Heat and Mass Transfer 39, no. 8 (2012): 1188-1194. https://doi.org/10.1016/j.icheatmasstransfer.2012.06.022
[20] Moraveji, Mostafa Keshavarz and Reza Mohammadi Ardehali. "CFD modeling (comparing single and two-phase approaches) on thermal performance of Al2O3/water nanofluid in mini-channel heat sink." International Communications in Heat and Mass Transfer 44 (2013): 157-164. https://doi.org/10.1016/j.icheatmasstransfer.2013.02.012
[21] Moraveji, Mostafa Keshavarz, Reza Mohammadi Ardehali and Ali Ijam. "CFD investigation of nanofluid effects (cooling performance and pressure drop) in mini-channel heat sink." International Communications in Heat and Mass Transfer 40 (2013): 58-66. https://doi.org/10.1016/j.icheatmasstransfer.2012.10.021
[22] Ho, Ching-Jenq, Wei-Chen Chen and Wei-Mon Yan. "Experimental study on cooling performance of minichannel heat sink using water-based MEPCM particles." International communications in heat and mass transfer 48 (2013): 67-72. https://doi.org/10.1016/j.icheatmasstransfer.2013.08.023
[23] Sohel, M. R., S. S. Khaleduzzaman, R. Saidur, A. Hepbasli, M. F. M. Sabri and I. M. Mahbubul. "An experimental investigation of heat transfer enhancement of a minichannel heat sink using Al2O3–H2O nanofluid." International Journal of Heat and Mass Transfer 74 (2014): 164-172. https://doi.org/10.1016/j.ijheatmasstransfer.2014.03.010
[24] Jajja, Saad Ayub, Wajahat Ali, Hafiz Muhammad Ali and Aysha Maryam Ali. "Water cooled minichannel heat sinks for microprocessor cooling: Effect of fin spacing." Applied Thermal Engineering 64, no. 1-2 (2014): 76-82. https://doi.org/10.1016/j.applthermaleng.2013.12.007
[25] Naphon, Paisarn and Lursukd Nakharintr. "Turbulent two phase approach model for the nanofluids heat transfer analysis flowing through the minichannel heat sinks." International Journal of Heat and Mass Transfer 82 (2015): 388-395. https://doi.org/10.1016/j.ijheatmasstransfer.2014.11.024
[26] Hetsroni, G., A. Mosyak, Zea Segal and G. Ziskind. "A uniform temperature heat sink for cooling of electronic devices." International Journal of Heat and Mass Transfer 45, no. 16 (2002): 3275-3286. https://doi.org/10.1016/S0017-9310(02)00048-0
[27] Cai, Y., M. W. Wambsganss and J. A. Jendrzejczyk. "Application of chaos theory in identification of two-phase flow patterns and transitions in a small, horizontal, rectangular channel." (1996): 383-390. https://doi.org/10.1115/1.2817390
[28] Peles, Y. P., L. P. Yarin and G. Hetsroni. "Steady and unsteady flow in a heated capillary." International Journal of Multiphase Flow 27, no. 4 (2001): 577-598. https://doi.org/10.1016/S0301-9322(00)00041-0
[29] Brutin, David, Frederic Topin and Lounes Tadrist. "Experimental study of unsteady convective boiling in heated minichannels." International journal of heat and mass transfer 46, no. 16 (2003): 2957-2965. https://doi.org/10.1016/S0017-9310(03)00093-0
[30] Wu, H. Y. and Ping Cheng. "Visualization and measurements of periodic boiling in silicon microchannels." International Journal of Heat and Mass Transfer 46, no. 14 (2003): 2603-2614. https://doi.org/10.1016/S0017-9310(03)00039-5
[31] Qu, Weilin and Issam Mudawar. "Flow boiling heat transfer in two-phase micro-channel heat sinks––I. Experimental investigation and assessment of correlation methods." International journal of heat and mass transfer 46, no. 15 (2003): 2755-2771. https://doi.org/10.1016/S0017-9310(03)00041-3
[32] Wang, Shuangfeng F., R. Mosdorf and M. Shoji. "Nonlinear analysis on fluctuation feature of two-phase flow through a T-junction." International Journal of Heat and Mass Transfer 46, no. 9 (2003): 1519-1528. https://doi.org/10.1016/S0017-9310(02)00455-6
[33] Missaggia, Leo J. "A microchannel heat sink with alternating directions of water flow in adjacent channels." In Integrated Optoelectronics for Communication and Processing, vol. 1582, p. 106. SPIE, 1992. https://doi.org/10.1117/12.135008
[34] Vafai, Kambiz and Lu Zhu. "Analysis of two-layered micro-channel heat sink concept in electronic cooling." International Journal of Heat and Mass Transfer 42, no. 12 (1999): 2287-2297. https://doi.org/10.1016/S0017-9310(98)00017-9
[35] Yin, X. and H. H. Bau. "Uniform channel micro heat exchangers." (1997): 89-94. https://doi.org/10.1115/1.2792225
[36] Yang, Chun, Dongqing Li and Jacob H. Masliyah. "Modeling forced liquid convection in rectangular microchannels with electrokinetic effects." International journal of heat and mass transfer 41, no. 24 (1998): 4229-4249. https://doi.org/10.1016/S0017-9310(98)00125-2
[37] Eastman, Jeffery A., U. S. Choi, Shaoping Li, L. J. Thompson and Shinpyo Lee. "Enhanced thermal conductivity through the development of nanofluids." MRS Online Proceedings Library (OPL) 457 (1996): 3. https://doi.org/10.1557/PROC-457-3
[38] Yu, W., David M. France, S. US Choi and Jules L. Routbort. Review and assessment of nanofluid technology for transportation and other applications. No. ANL/ESD/07-9. Argonne National Lab.(ANL), Argonne, IL (United States), 2007.
[39] Masuda, Hidetoshi, Akira Ebata and Kazunari Teramae. "Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles. Dispersion of Al2O3, SiO2 and TiO2 ultra-fine particles." (1993): 227-233. https://doi.org/10.2963/jjtp.7.227
[40] Murshed, S. M. S., K. C. Leong and C. Yang. "Enhanced thermal conductivity of TiO2—water based nanofluids." International Journal of thermal sciences 44, no. 4 (2005): 367-373. https://doi.org/10.1016/j.ijthermalsci.2004.12.005
[41] Xie, Hua-qing, Jin-chang Wang, Tong-geng Xi and Yan Liu. "Thermal conductivity of suspensions containing nanosized SiC particles." International Journal of Thermophysics 23 (2002): 571-580.
[42] Lee, Seung Won, Sung Dae Park, Sarah Kang, In Cheol Bang and Ji Hyun Kim. "Investigation of viscosity and thermal conductivity of SiC nanofluids for heat transfer applications." International Journal of Heat and Mass Transfer 54, no. 1-3 (2011): 433-438. https://doi.org/10.1016/j.ijheatmasstransfer.2010.09.026
[43] Li, Calvin H. and G. P. Peterson. "Experimental investigation of temperature and volume fraction variations on the effective thermal conductivity of nanoparticle suspensions (nanofluids)." Journal of Applied physics 99, no. 8 (2006). https://doi.org/10.1063/1.2191571
[44] Xuan, Yimin and Qiang Li. "Investigation on convective heat transfer and flow features of nanofluids." J. Heat transfer 125, no. 1 (2003): 151-155. https://doi.org/10.1115/1.1532008
[45] Heris, S. Zeinali, S. Gh Etemad and M. Nasr Esfahany. "Experimental investigation of oxide nanofluids laminar flow convective heat transfer." International communications in heat and mass transfer 33, no. 4 (2006): 529-535. https://doi.org/10.1016/j.icheatmasstransfer.2006.01.005
[46] Eastman, J. A. Novel thermal properties of nanostructured materials. No. ANL/MSD/CP-96711. Argonne National Lab., IL (US), 1999.
[47] Yang, Ying, Z. George Zhang, Eric A. Grulke, William B. Anderson and Gefei Wu. "Heat transfer properties of nanoparticle-in-fluid dispersions (nanofluids) in laminar flow." International journal of heat and mass transfer 48, no. 6 (2005): 1107-1116. https://doi.org/10.1016/j.ijheatmasstransfer.2004.09.038
[48] Chein, Reiyu and Guanming Huang. "Analysis of microchannel heat sink performance using nanofluids." Applied thermal engineering 25, no. 17-18 (2005): 3104-3114. https://doi.org/10.1016/j.applthermaleng.2005.03.008
[49] Wu, Xinyu, Huiying Wu and Ping Cheng. "Pressure drop and heat transfer of Al2O3-H2O nanofluids through silicon microchannels." Journal of micromechanics and microengineering 19, no. 10 (2009): 105020. https://doi.org/10.1088/0960-1317/19/10/105020
[50] Ijam, Ali and Rahman Saidur. "Nanofluid as a coolant for electronic devices (cooling of electronic devices)." Applied Thermal Engineering 32 (2012): 76-82. https://doi.org/10.1016/j.applthermaleng.2011.08.032
[51] Raisi, A., B. Ghasemi and S. M. Aminossadati. "A numerical study on the forced convection of laminar nanofluid in a microchannel with both slip and no-slip conditions." Numerical Heat Transfer, Part A: Applications 59, no. 2 (2011): 114-129. https://doi.org/10.1080/10407782.2011.540964
[52] Nasir, Kadhim Fadhil, Haider RD Al-Hamadani and Hassan Ali Jurmut. "Effect of hybrid nanofluids on thermal and hydraulic characteristics of hexagon tube." Advances in Natural Sciences: Nanoscience and Nanotechnology 11, no. 3 (2020): 035009. https://doi.org/10.1088/2043-6254/ab9d1d
[53] Khashan, Saud, Sawsan Dagher, Salahaddin Al Omari, Nacir Tit, Emad Elnajjar, Bobby Mathew and Ali Hilal-Alnaqbi. "Photo-thermal characteristics of water-based Fe3O4@ SiO2 nanofluid for solar-thermal applications." Materials Research Express 4, no. 5 (2017): 055701. https://doi.org/10.1088/2053-1591/aa6c15
[54] Daniel, Yahaya Shagaiya, Zainal Abdul Aziz, Zuhaila Ismail and Faisal Salah. "Effects of slip and convective conditions on MHD flow of nanofluid over a porous nonlinear stretching/shrinking sheet." Australian Journal of Mechanical Engineering 16, no. 3 (2018): 213-229.
[55] Alktranee, Mohammed, Mohammed Ahmed Shehab, Zoltán Németh, Péter Bencs and Klara Hernadi. "Thermodynamic analysis of mono and hybrid nanofluid effect on the photovoltaic-thermal system performance: A comparative study." Heliyon 9, no. 12 (2023). https://doi.org/10.1016/j.heliyon.2023.e22535
[56] Alktranee, Mohammed, Mohammed Ahmed Shehab, Zoltán Németh, Péter Bencs and Klara Hernadi. "Experimental study for improving photovoltaic thermal system performance using hybrid titanium oxide-copper oxide nanofluid." Arabian Journal of Chemistry 16, no. 9 (2023): 105102. https://doi.org/10.1016/j.arabjc.2023.105102
[57] Alktranee, Mohammed, Mohammed A. Shehab, Zoltán Németh and Péter Bencs. "Iron Oxide and Tungsten Trioxide Nanofluids to Enhance Automotive Cooling Radiators: Experimental Analysis." In Vehicle and Automotive Engineering, pp. 521-537. Cham: Springer International Publishing, 2022. https://doi.org/10.1007/978-3-031-15211-5_43
[58] Elfaghi, Abdulhafid MA, Alhadi A. Abosbaia, Munir FA Alkbir and Abdoulhdi AB Omran. "CFD Simulation of Forced Convection Heat Transfer Enhancement in Pipe Using Al2O3/Water Nanofluid." Journal of Advanced Research in Micro and Nano Engineering 7, no. 1 (2022): 8-13. https://doi.org/10.37934/cfdl.14.9.118124
[59] AlYasi, Riyadh Fayez Sughayyir, Nazrul Islam and Badr Ali Bzya Albeshri. "Laminar Mixed Convection Heat Transfer Analysis in Horizontal Annuli using Hybrid Nanofluid." Journal of Advanced Research in Numerical Heat Transfer 13, no. 1 (2023): 52-65. https://doi.org/10.37934/arnht.13.1.5265
[60] Alsammarraie, Hashim, Mohd Khairol Anuar Mohd Ariffin, Eris Elianddy Supeni and Siti Ujila Masuri. "Numerical and Experimental Studies of the Nanofluid Characteristics that Effects on Heat Transfer Enhancement: Review and Comparison." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 107, no. 2 (2023): 1-26. https://doi.org/10.37934/arfmts.107.2.126
[61] Mahat, Rahimah, Muhammad Saqib, Imran Ulah, Sharidan Shafie and Sharena Mohamad Isa. "MHD Mixed Convection of Viscoelastic Nanofluid Flow due to Constant Heat Flux." Journal of Advanced Research in Numerical Heat Transfer 9, no. 1 (2022): 19-25. https://doi.org/10.37934/araset.30.3.18
[62] Idris, Muhammad Syafiq, Irnie Azlin Zakaria and Wan Azmi Wan Hamzah. "Heat Transfer and Pressure Drop of Water Based Hybrid Al2 O3: SiO2 Nanofluids in Cooling Plate of PEMFC." Journal of Advanced Research in Numerical Heat Transfer 4, no. 1 (2021): 1-13. https://doi.org/10.37934/arfmts.88.3.96109
[63] Madhu, Kurapalli Shivareddy, Ramareddy Shankarareddy and Shantappa Gurubasappa Sangashetty. "Experimental Study on the Effect of TiO2–Water Nanofluid on Heat Transfer and Pressure Drop in Heat Exchanger with Varying Helical Coil Diameter." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 107, no. 2 (2023): 50-67. https://doi.org/10.37934/arfmts.107.2.5067
[64] Mohamed, Mousa M. and Mostafa A. Abd El-Baky. "Air cooling of mini-channel heat sink in electronic devices." (2013). https://doi.org/10.4236/jectc.2013.32007
[65] Bird, Robert Byron, Robert Calvin Armstrong and Ole Hassager. "Dynamics of polymeric liquids. Vol. 1: Fluid mechanics." (1987).
[66] Bhaskaran, Rajesh and Lance Collins. "Introduction to CFD basics." Cornell University-Sibley School of Mechanical and Aerospace Engineering (2002): 1-21.
[67] Dittus, F. W. and L. M. K. Boelter. "Heat transfer in automobile radiators of the tubular type." International communications in heat and mass transfer 12, no. 1 (1985): 3-22. https://doi.org/10.1016/0735-1933(85)90003-X
[68] Varma, K. K., P. S. Kishore and P. D. Prasad. "Enhancement of heat transfer using Fe3O4/water nanofluid with varying cut-radius twisted tape inserts." International Journal of Applied Engineering Research 12, no. 18 (2017): 7088-7095. https://doi.org/10.37622/IJAER/12.18.2017.7088-7095
[69] Duangthongsuk, Weerapun and Somchai Wongwises. "Heat transfer enhancement and pressure drop characteristics of TiO2–water nanofluid in a double-tube counter flow heat exchanger." International Journal of Heat and Mass Transfer 52, no. 7-8 (2009): 2059-2067. https://doi.org/10.1016/j.ijheatmasstransfer.2008.10.023
[70] Pak, Bock Choon and Young I. Cho. "Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles." Experimental Heat Transfer an International Journal 11, no. 2 (1998): 151-170. https://doi.org/10.1080/08916159808946559
[71] Xuan, Yimin and Wilfried Roetzel. "Conceptions for heat transfer correlation of nanofluids." International Journal of heat and Mass transfer 43, no. 19 (2000): 3701-3707. https://doi.org/10.1016/S0017-9310(99)00369-5
[72] Yu, W. and and SUS Choi. "The role of interfacial layers in the enhanced thermal conductivity of nanofluids: a renovated Maxwell model." Journal of nanoparticle research 5 (2003): 167-171. https://doi.org/10.1023/A:1024438603801
[73] Drew, Donald A. and Stephen L. Passman. Theory of multicomponent fluids. Vol. 135. Springer Science & Business Media, 2006.
[74] Azmi, W. H., K. V. Sharma, P. K. Sarma, Rizalman Mamat, Shahrani Anuar and L. Syam Sundar. "Numerical validation of experimental heat transfer coefficient with SiO2 nanofluid flowing in a tube with twisted tape inserts." Applied Thermal Engineering 73, no. 1 (2014): 296-306. https://doi.org/10.1016/j.applthermaleng.2014.07.060
[75] Blasius, Heinrich. "Das aehnlichkeitsgesetz bei reibungsvorgängen in flüssigkeiten." In Mitteilungen über Forschungsarbeiten auf dem Gebiete des Ingenieurwesens: insbesondere aus den Laboratorien der technischen Hochschulen, pp. 1-41. Berlin, Heidelberg: Springer Berlin Heidelberg, 1913. https://doi.org/10.1007/978-3-662-02239-9_1
