The Non-Dimensional Analysis of Heat Transfer and Fluid Flow in Wavy Mini Channel Heat Exchangers

Document Type : Research Article

Authors

1 Department of Mechanical Engineering, University Campus 2, University of Guilan, Rasht, I.R. IRAN

2 Department of Chemical Engineering, Faculty of Engineering, Ardakan University, Ardakan, I.R. IRAN

3 Faculty of Mechanical Engineering, University of Guilan, Rasht, I.R. IRAN

Abstract

In this research, the heat transfer behavior of a wavy mini-channel heat exchanger was studied. Using the experimental data of heat transfer, the convective heat transfer coefficients were estimated. Among numerous trials, the Nusselt number (Nu) best correlation is a linear function of Reynolds number (Re) independent of Prandtl number (Pr), and similar correlations
for hot and cold sides were obtained. The coefficient range is 0.01 to 0.03 for different fluids. The previous experimental works verify this conclusion. Also, in the case of non-Newtonian fluids and nanofluids, the definition of Re is related to its rheological behavior. However, if the velocity profile is specified, it can be used to derive the relation between the Fanning friction factor (Cf) and Re. Here, a suitable velocity profile for wavy configuration is used, and the experimental values
of Re are estimated by the experimental pressure drop data. It is shown that the application of the derived relation between Cf and Re is preferred compared to the assumption of a circular pipe that is convenient for fluid mechanics studies. In addition, it is proved that if experiments with
different fluids or relative waviness are done at similar flow rates, the U versus the Re plot can be used to compare heat exchanger performance.

Keywords

Main Subjects


[1] Ponce-Ortega J.M., Al-Thubaiti M.M., El-Halwagi M.M., Process Intensification: New Understanding and Systematic Approach, Chem. Eng. Process. Process Intensif., 53 (2012).
[2] Sitter S., Chen Q., Grossmann I.E., An Overview of Process Intensification Methods, Curr. Opin. Chem. Eng., 25: 87 - 94 (2019).
[3] Boonloi A., Jedsadaratanachai W., Turbulent Forced Convection in a Heat Exchanger Square Channel With Wavy-Ribs Vortex Generator, Chinese J. Chem. Eng., 23: 1256–1265 (2015).
[4] Dominic A., Sarangan J., Suresh S., Devah Dhanush V.S., An Experimental Investigation of Wavy and Straight Minichannel Heat Sinks Using Water and Nanofluids, J. Therm. Sci. Eng. Appl., 7: 031012 (2015).
[5] Emami Meibodi M., Vafaie-Sefti M., Rashidi A.M., Amrollahi A., Tabasi M., Sid-Kalal H., A Model for Thermal Conductivity of Nanofluids, Mater. Chem. Phys., 8: 245-254 (2010).
[6] Amrollahi A., Rashidi A.M., Lotfi R., Emami Meibodi M., Kashe K., Convection Heat Transfer of Functionalized MWNT in Aqueous Fluids in Laminar and Turbulent Flow at the Entrance Region, Int. Commun. Heat Mass Transf., 37: 717–723 (2010).
[7] Çakmak G., Yücel H.L., Argunhan Z., Yıldız C., Experimental Investigation of Thermal Performance in a Concentric-Tube Heat Exchanger with Wavy Inner Pipe, Int. J. Thermophys., 33: 1055–1067 (2012).
[8] Ngo T.L., Kato Y., Nikitin K., Ishizuka T., Heat Transfer and Pressure Drop Correlations of Microchannel Heat Exchangers with S-Shaped and Zigzag Fins for Carbon Dioxide Cycles, Exp. Therm. Fluid Sci., 32: 560–570 (2007).
[9] Dai Z., Fletcher D.F., Haynes B.S., Impact of Tortuous Geometry on Laminar Flow Heat Transfer in Microchannels, Int. J. Heat Mass Transf., 83: 382–398 (2015).
[10] Dai Z., Zheng Z., Fletcher D.F., Haynes B.S., Experimental Study of Transient Behaviour of Laminar Flow in Zigzag Semi-Circular Microchannels, Exp. Therm. Fluid Sci., 68: 644–651 (2015).
[11] Khoshvaght-Aliabadi M., Sahamiyan M., Hesampour M., Sartipzadeh O., Experimental Study on Cooling Performance of Sinusoidal-Wavy Minichannel Heat Sink, Appl. Therm. Eng., 92: 50–61 (2016).
[12] Khoshvaght-Aliabadi M., Sahamiyan M., Performance of Nanofluid Flow in Corrugated Minichannels Heat Sink (CMCHS), Energy Convers. Manag., 108: 297–308 (2016).
[13] Khoshvaght-Aliabadi M., Zamzamian A., Hormozi F., Wavy Channel and Different Nanofluids Effects on Performance of Plate-Fin Heat Exchangers, J. Thermophys. Heat Transfer, 28: 474–484 (2014).
[15] Fernández-Seara J., Uhía F.J., Sieres J., Campo A., A General Review of The Wilson Plot Method and Its Modifications to Determine Convection Coefficients in Heat Exchange Devices, Appl. Therm. Eng., 27: 2745–2757 (2007).
[16] Rose J.W., Heat-Transfer Coefficients, Wilson Plots and Accuracy of Thermal Measurements, Exp. Therm. Fluid Sci., 28: 77–86 (2004).
[17] Hoseinzadeh S., Heyns P.S., Kariman H., Numerical Investigation of Heat Transfer of Laminar and Turbulent Pulsating Al2O3/Water Nanofluid Flow, Int. J. Numer. Methods Heat Fluid Flow., 30: 1149–1166 (2019).
[18] Hoseinzadeh S., Heyns P.S., Chamkha A.J., Shirkhani A., Thermal Analysis of Porous Fins Enclosure with the Comparison of Analytical and Numerical Methods, J. Therm. Anal. Calorim., 138: 727–735 (2019).
[19] Hoseinzadeh S., Heyns P.S., Thermo-Structural Fatigue and Lifetime Analysis of a Heat Exchanger as a Feedwater Heater in Power Plant, Eng. Fail. Anal., 113: 104548 (2020).
[20] Hoseinzadeh S., Otaghsara S.M.T., Khatir M.H.Z., Heyns P.S., Numerical Investigation of Thermal Pulsating Alumina/Water Nanofluid Flow over Three Different Cross-Sectional Channel, Int. J. Numer. Methods Heat Fluid Flow., 30: 3721–3735 (2019).
[21] Ahmad S., Ashraf M., Ali K., Simulation of Thermal Radiation in a Micropolar Fluid Flow Through a Porous Medium Between Channel Walls, J. Therm. Anal. Calorim., 1–13 (2020).
[22] Ahmad S., Ashraf M., Ali K., Numerical Simulation of Viscous Dissipation in a Micropolar Fluid Flow through a Porous Medium, J. Appl. Mech. Tech. Phys., 60: 996–1004 (2019).
[23] Dormohammadi R., Farzaneh-Gord M., Ebrahimi-Moghadam A., Ahmadi M.H., Heat Transfer and Entropy Generation of the Nanofluid Flow Inside Sinusoidal Wavy Channels, J. Mol. Liq., 269: 229–240 (2018).
 [25] Nematollahzadeh A., Jangara H., Exact Analytical and Numerical Solutions for Convective Heat Transfer in a Semi-Spherical Extended Surface with Regular Singular Points, Iran. J. Chem. Chem. Eng. (IJCCE), 40(3): 980-989 (2021).
[26] Rostami J., Abbassi A., Harting J., Heat Transfer by Nanofluids in Wavy Microchannels, Adv. Powder Technol. 29: 925–933 (2018).
[27] Emami Meibodi M., Vafaie-Sefti M., Rashidi A.M., Amrollahi A., Tabasi M., Kalal H.S., An Estimation for Velocity and Temperature Profiles of Nanofluids in Fully Developed Turbulent Flow Conditions, Int. Commun. Heat Mass Transf., 37: 895–900 (2010).
[28] Motahari K., Barati S., Optimization of Nusselt Number of Al2O3/Water Nanofluid Using Response Surface Methodology, Iran. J. Chem. Chem. Eng. (IJCCE), 38(3): 309-317 (2019).
[29] Carezzato A., Alcantara M.R., Telis-Romero J., Tadini C.C., Gut J.A.W., Non-Newtonian Heat Transfer on a Plate Heat Exchanger with Generalized Configurations, Chem. Eng. Technol., 30: 21–26 (2007).
[31] Nakoryakov V.E., Pokusaev B.G., Alekseenko S. V., Orlov V.V., Instantaneous Velocity Profile in a Wavy Fluid Film, J. Eng. Phys., 33: 1012–1016 (1977).
[32] Operator’s Manual, KD2 Pro Thermal Properties Analyzer, n.d. www.decagon.com (accessed October 11, 2020).
[33] Anvari A., Javaherdeh K., Emami Meibodi M., Performance Evaluation of a New Nano Fluid Through Micro Channels Heat Exchanger, Chem. Eng. Trans., 71: 973–978 (2018).
[36] Pope S.B., "Turbulent Flows", Cambridge University Press (2000).
[37] Anvari A.R., Javaherdeh K., Emami Meibodi M., Rashidi A.M., Numerical and Experimental Investigation of Heat Transfer Behavior in a Round Tube with the Special Conical Ring Inserts, Energy Convers. Manag., 88: 214–217 (2014).
 [38] Munson B.R., Rothmayer A.P., Okiishi T.H., "Fundamentals of Fluid Mechanics", 7th ed. (2012).
[39] Ray D.R., Das D.K., Vajjha R.S., Experimental and Numerical Investigations of Nanofluids Performance in a Compact Minichannel Plate Heat Exchanger, Int. J. Heat Mass Transf., 71: 732–746 (2014).
[40] Dominic A., Sarangan J., Suresh S., Devahdhanush V.S., Suresh S., Sarangan J., Devahdhanush V.S., An Experimental Study of Heat Transfer and Pressure Drop Characteristics of Divergent Wavy Minichannels Using Nanofluids, Heat Mass Transf., 53: 959–971 (2017).