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Research Papers: Thermal Systems

Analysis of Entropy Generation of a Magneto-Hydrodynamic Flow Through the Operation of an Unlooped Pulsating Heat Pipe

[+] Author and Article Information
Mobadersani Farrokh

Mechanical Engineering Department,
Urmia University of Technology,
1.5 km of Band Road,
Urmia 57166-17165, Iran
e-mail: fmobadersani@gmail.com

Toolabi Goodarz

Mechanical Engineering Department,
Urmia University,
12 km of Sero Road,
Urmia 57561-51818, Iran
e-mail: goodarz.tulabi@gmail.com

Jafarmadar Samad

Mechanical Engineering Department,
Urmia University,
12 km of Sero Road,
Urmia 57561-51818, Iran
e-mail: S.Jafarmadar@urmia.ac.ir

Nasiri Javid

Mechanical Engineering Department,
Urmia University,
12 km of Sero Road,
Urmia 57561-51818, Iran
e-mail: j.nasiri68@yahoo.com

Habibzadeh Amin

Mechanical Engineering Department,
Urmia University,
12 km of Sero Road,
Urmia 57561-51818, Iran
e-mail: a.habibzadeh@urmia.ac.ir

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received April 10, 2017; final manuscript received December 26, 2017; published online April 11, 2018. Assoc. Editor: Antonio Barletta.

J. Heat Transfer 140(8), 082801 (Apr 11, 2018) (13 pages) Paper No: HT-17-1202; doi: 10.1115/1.4039215 History: Received April 10, 2017; Revised December 26, 2017

The aim of the study is the analysis of a uniform magnetic field effect on fluid flow, heat transfer, and entropy generation through the operation of a pulsating heat pipe (PHP). An open loop PHP with three neighboring vapor plugs and two liquid slugs has been considered. The governing equations such as momentum, energy, and mass equations are solved using an explicit method except for the energy equation of liquid slugs. For each case study, Bejan number has been derived to find the heat transfer share in entropy generation. According to the results, the performance of the oscillating heat pipe decreases by applying uniform magnetic field. Moreover, the obtained results illustrate the effects of the applied magnetic field position on the heat transfer and the entropy generation. The latent and sensible heat transfer into the PHP enhance as a result of increase in the pipe diameter, so that the liquid slugs oscillate with high amplitudes. In addition, the entropy generation value increases with an augmentation in the value of the pipe diameter. The evaluated Bejan numbers indicate that the viscous effects in entropy generation decrease as the pipe diameter increases. Furthermore, the results depict that the heat transfer performance of PHP improves by increasing temperature difference between evaporator and condenser sections. With an increase in the value of the evaporator temperature, the Bejan number will increase, as a result, this phenomenon reveals the inconsiderable role of viscous impacts in high evaporator temperatures. In order to validate the calculations, the calculated results have been compared with the previous studies which show good agreement.

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References

Shao, W. , and Zhang, Y. , 2011, “Effects of Film Evaporation and Condensation on Oscillatory Flow and Heat Transfer in an Oscillating Heat Pipe,” ASME J. Heat Transfer, 133(4), p. 042901. [CrossRef]
Ma, H. B. , Hanlon, M. A. , and Chen, C. L. , 2006, “An Investigation of Oscillating Motions in a Miniature Pulsating Heat Pipe,” Microfluid. Nanofluid., 2(2), pp. 171–179. [CrossRef]
Mameli, M. , Marengo, M. , and Zinna, S. , 2012, “Numerical Model of a Multi-Turn Closed Loop Pulsating Heat Pipe: Effects of the Local Pressure Losses Due to Meanderings,” Int. J. Heat Mass Transfer, 55(4), pp. 1036–1047. [CrossRef]
Zhang, Y. , Faghri, A. , and Shafii, M. B. , 2002, “Analysis of Liquid–Vapor Pulsating Flow in a U-Shaped Miniature Tube,” Int. J. Heat Mass Transfer, 45(12), pp. 2501–2508. [CrossRef]
Shafii, M. B. , Faghri, A. , and Zhang , 2001, “Thermal Modeling of Unlooped and Looped Pulsating Heat Pipes,” ASME J. Heat Transfer, 123(6), pp. 1159–1172. [CrossRef]
Peng, H. , Pai, P. F. , and Ma, H. , 2014, “Nonlinear Thermomechanical Finite-Element Modeling, Analysis and Characterization of Multi-Turn Oscillating Heat Pipes,” Int. J. Heat Mass Transfer, 69, pp. 424–437. [CrossRef]
Shafii, M. B. , Faghri, A. , and Zhang, Y. , 2002, “Analysis of Heat Transfer in Unlooped and Looped Pulsating Heat Pipes,” Int. J. Numer. Methods Heat Fluid Flow, 12(5), pp. 585–609. [CrossRef]
Gamit, H. , More, V. , Mukund, B. , and Mehta, H. B. , 2015, “Experimental Investigations on Pulsating Heat Pipe,” Energy Procedia, 75, pp. 3186–3191. [CrossRef]
Khandekar, S. , and Groll, M. , 2004, “An Insight Into Thermo-Hydrodynamic Coupling in Closed Loop Pulsating Heat Pipes,” Int. J. Therm. Sci., 43(1), pp. 13–20. [CrossRef]
Rahman, M. L. , Saha, P. K. , Mir, F. , Totini, A. T. , Nawrin, S. , and Ali, M. , 2015, “Experimental Investigation on Heat Transfer Characteristics of an Open Loop Pulsating Heat Pipe (OLPHP) With Fin,” Procedia Eng., 105, pp. 113–120. [CrossRef]
Mameli, M. , Manno, V. , Filippeschi, S. , and Marengo, M. , 2014, “Thermal Instability of a Closed Loop Pulsating Heat Pipe: Combined Effect of Orientation and Filling Ratio,” Exp. Therm. Fluid Sci., 59, pp. 222–229. [CrossRef]
Charoensawan, P. , Khandekar, S. , Groll, M. , and Terdtoon, P. , 2003, “Closed Loop Pulsating Heat Pipes—Part A: Parametric Experimental Investigations,” Appl. Therm. Eng., 23(16), pp. 2009–2020. [CrossRef]
Khandekar, S. , Gautam, A. P. , and Sharma, P. K. , 2009, “Multiple Quasi-Steady States in a Closed Loop Pulsating Heat Pipe,” Int. J. Therm. Sci., 48(3), pp. 535–546. [CrossRef]
Tong, B. Y. , Wong, T. N. , and Ooi, K. T. , 2001, “Closed-Loop Pulsating Heat Pipe,” Appl. Therm. Eng., 21(18), pp. 1845–1862. [CrossRef]
Selimli, S. , Recebli, Z. , and Arcaklioglu, E. , 2015, “MHD Numerical Analyses of Hydrodynamically Developing Laminar Liquid Lithium Duct Flow,” Int. J. Hydrogen Energy, 40(44), pp. 15358–15364. [CrossRef]
Kuiry, D. R. , and Bahadur, S. , 2015, “Steady MHD Flow of Viscous Fluid Between Two Parallel Porous Plates With Heat Transfer in an Inclined Magnetic Field,” J. Sci. Res., 7(3), pp. 21–31. [CrossRef]
Li, F. C. , Kunugi, T. , and Serizawa, A. , 2005, “MHD Effect on Flow Structures and Heat Transfer Characteristics of Liquid Metal–Gas Annular Flow in a Vertical Pipe,” Int. J. Heat Mass Transfer, 48(12), pp. 2571–2581. [CrossRef]
Malekzadeh, A. , Heydarinasab, A. , and Dabir, B. , 2011, “Magnetic Field Effect on Fluid Flow Characteristics in a Pipe for Laminar Flow,” J. Mech. Sci. Technol., 25(2), pp. 333–339. [CrossRef]
Abel, M. S. , Sanjayanand, E. , and Nandeppanavar, M. M. , 2008, “Viscoelastic MHD Flow and Heat Transfer Over a Stretching Sheet With Viscous and Ohmic Dissipations,” Commun. Nonlinear Sci. Numer. Simul., 13(9), pp. 1808–1821. [CrossRef]
Taghilou, M. , Ghadimi, B. , and Seyyedvalilu, M. , 2014, “Optimization of Double Pipe Fin-Pin Heat Exchanger Using Entropy Generation Minimization,” Int. J. Eng. Trans. C: Aspects, 27(9), pp. 1431–1438. https://www.researchgate.net/publication/264042877_Optimization_of_Double_Pipe_Fin-pin_Heat_Exchanger_Using_Entropy_Generation_Minimization
Mohseni, M. , and Bazargan, M. , 2014, “Entropy Generation in Turbulent Mixed Convection Heat Transfer to Highly Variable Property Pipe Flow of Supercritical Fluids,” Energy Convers. Manage., 87, pp. 552–558. [CrossRef]
Jarungthammachote, S. , 2010, “Entropy Generation Analysis for Fully Developed Laminar Convection in Hexagonal Duct Subjected to Constant Heat Flux,” Energy, 35(12), pp. 5374–5379. [CrossRef]
Tandiroglu, A. , 2007, “Effect of Flow Geometry Parameters on Transient Entropy Generation for Turbulent Flow in Circular Tube With Baffle Inserts,” Energy Convers. Manage., 48(3), pp. 898–906. [CrossRef]
Kim, S. , Zhang, Y. , and Choi, J. , 2013, “Entropy Generation Analysis for a Pulsating Heat Pipe,” Heat Transfer Res., 44(1), pp. 1–30.
Butt, A. S. , Ali, A. , and Mehmood, A. , 2016, “Numerical Investigation of Magnetic Field Effects on Entropy Generation in Viscous Flow Over a Stretching Cylinder Embedded in a Porous Medium,” Energy, 99, pp. 237–249. [CrossRef]
Rashidi, M. M. , Kavyani, N. , and Abelman, S. , 2014, “Investigation of Entropy Generation in MHD and Slip Flow Over a Rotating Porous Disk With Variable Properties,” Int. J. Heat Mass Transfer, 70, pp. 892–917. [CrossRef]
Mahian, O. , Oztop, H. , Pop, I. , Mahmud, S. , and Wongwises, S. , 2013, “Entropy Generation Between Two Vertical Cylinders in the Presence of MHD Flow Subjected to Constant Wall Temperature,” Int. Commun. Heat Mass Transfer, 44, pp. 87–92. [CrossRef]
Torabi, M. , and Zhang, K. , 2015, “Temperature Distribution, Local and Total Entropy Generation Analyses in MHD Porous Channels With Thick Walls,” Energy, 87, pp. 540–554. [CrossRef]
Jafarmadar, S. , Mobadersani, F. , Mirzaee, I. , and Toolabi, G. , 2016, “Investigation of Entropy Generation Through the Operation of an Unlooped Pulsating Heat Pipe,” Int. J. Eng., Trans. B: Appl., 29(8), pp. 1151–1159. http://www.ije.ir/abstract/%7BVolume:29-Transactions:B-Number:8%7D/=2313
Khandekar, S. , Panigrahi, P. K. , Lefèvre, F. , and Bonjour, J. , 2010, “Local Hydrodynamics of Flow in a Pulsating Heat Pipe: A Review,” Front. Heat Pipes (FHP), 1(2), p. 023003. https://www.researchgate.net/publication/48412257_Local_hydrodynamics_of_flow_in_a_pulsating_heat_pipe_A_review
Darby, R., 1999, “Correlate Pressure Drops Through Fittings,” Chem. Eng., 106(7), pp. 101–104.
Darby, R., 2001, “Correlate Pressure Drops Through Fittings,” Chem. Eng., 108(4), pp. 127–130.
Shah, R. K. , and London, A. L. , 1971, “Laminar Flow Forced Convection Heat Transfer and Flow Friction in Straight and Curved Ducts-A Summary of Analytical Solutions,” Stanford University, Stanford, CA, Report No. TR-75. http://www.dtic.mil/dtic/tr/fulltext/u2/736260.pdf
Bejan, A. , Forced Convection: Internal Flows, Wiley, Hoboken, NJ.

Figures

Grahic Jump Location
Fig. 1

(a) Unlooped PHP and (b) control volume of the liquid under a uniform magnetic field

Grahic Jump Location
Fig. 2

Comparison of the present and the model of Shafii et al. [5]: (a) the displacement of the liquid slug and (b) the sensible heat transfer

Grahic Jump Location
Fig. 3

Entropy generation due to the viscous flow with and without pressure loss for an unlooped PHP

Grahic Jump Location
Fig. 4

Entropy generation due to the viscous flow in different Hartmann numbers when the condenser section is under a uniform magnetic field (the evaporator temperature is 120 °C and the pipe diameter is 2 mm)

Grahic Jump Location
Fig. 5

Entropy generation due to the sensible heat transfer in different Hartmann numbers when the condenser section is under a uniform magnetic field

Grahic Jump Location
Fig. 6

Entropy generation due to the latent heat transfer in different Hartmann numbers when the condenser section is under a uniform magnetic field

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Fig. 7

Total entropy when the condenser section is under a uniform magnetic field

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Fig. 8

Entropy generation due to the sensible heat transfer in different Hartmann numbers when the evaporator section is under a uniform magnetic field

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Fig. 9

Total entropy generation in different Hartmann numbers when the evaporator section is under a uniform magnetic field

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Fig. 10

Total sensible heat transfer into and out of the liquid slugs 1 and 2 in different Hartmann numbers as the magnetic field is applied to the entire pipe

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Fig. 11

Entropy generation due to the sensible heat transfer in different Hartmann numbers when the entire pipe is under a uniform magnetic field effect

Grahic Jump Location
Fig. 12

Total entropy generation in different Hartmann numbers when the entire pipe is under a uniform magnetic field

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Fig. 13

Bejan number variations in different Hartmann numbers

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Fig. 14

Bejan number as the magnetic field is applied to different positions of the pipe

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Fig. 15

Entropy generation due to the sensible heat as the magnetic field is applied to different positions of pipe

Grahic Jump Location
Fig. 16

Total entropy generation as the magnetic field is applied to different positions of the pipe

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