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Research Papers

Numerical Heat Transfer and Entropy Analysis on Liquid Slip Flows Through Parallel-Plate Microchannels

[+] Author and Article Information
Mostafa Shojaeian

Mechatronics Engineering Program,
Faculty of Engineering and Natural Sciences,
Sabanci University,
Tuzla, Istanbul 34956, Turkey
e-mail: shojaeian@sabanciuniv.edu

Masoumeh Nedaei

Mechatronics Engineering Program,
Faculty of Engineering and Natural Sciences,
Sabanci University,
Tuzla, Istanbul 34956, Turkey
e-mail: mnedaei@sabanciuniv.edu

Mehmet Yildiz

Material Science and Engineering Program,
Faculty of Engineering and Natural Sciences,
Sabanci University,
Tuzla, Istanbul 34956, Turkey
e-mail: meyildiz@sabanciuniv.edu

Ali Koşar

Mechatronics Engineering Program,
Faculty of Engineering and Natural Sciences,
Center of Excellence for Functional Surfaces
and Interfaces,
Sabanci University,
Tuzla, Istanbul 34956, Turkey
e-mail: kosara@sabanciuniv.edu

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received August 30, 2016; final manuscript received June 18, 2017; published online August 29, 2017. Assoc. Editor: Gamal Refaie-Ahmed.

J. Thermal Sci. Eng. Appl 10(2), 021003 (Aug 29, 2017) (10 pages) Paper No: TSEA-16-1249; doi: 10.1115/1.4037199 History: Received August 30, 2016; Revised June 18, 2017

In this study, two-dimensional (2D) numerical simulations of liquid slip flows in parallel-plate microchannels have been performed to obtain heat transfer characteristics and entropy generation rate under asymmetric heating conditions. Heat transfer analysis has been conducted along with second-law analysis through utilizing temperature-dependent thermophysical properties. The results indicate that temperature-dependent thermophysical properties have a positive effect on convective heat transfer and entropy generation. Nusselt numbers of the upper and lower plates and global entropy generation rates are significantly affected by slip parameter and heat flux ratio. It is shown that Nusselt number of the lower plate may have very large but finite values at a specific heat flux ratio. This finding resembles to analytical solutions, where singularities leading to an infinite Nusselt number exist.

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References

Shojaeian, M. , and Dibaji, S. A. R. , 2010, “ Three-Dimensional Numerical Simulation of the Slip Flow Through Triangular Microchannels,” Int. Commun. Heat Mass Transfer, 37(3), pp. 324–329. [CrossRef]
Shams, M. , Shojaeian, M. , Aghanajafi, C. , and Dibaji, S. A. R. , 2009, “ Numerical Simulation of Slip Flow Through Rhombus Microchannels,” Int. Commun. Heat Mass Transfer, 36(10), pp. 1075–1081. [CrossRef]
Aydın, O. , and Avcı, M. , 2006, “ Heat and Fluid Flow Characteristics of Gases in Micropipes,” Int. J. Heat Mass Transfer, 49(9–10), pp. 1723–1730. [CrossRef]
Cao, B. , Chen, G. W. , and Yuan, Q. , 2005, “ Fully Developed Laminar Flow and Heat Transfer in Smooth Trapezoidal Microchannel,” Int. Commun. Heat Mass Transfer, 32(9), pp. 1211–1220. [CrossRef]
Hooman, K. , 2008, “ A Superposition Approach to Study Slip-Flow Forced Convection in Straight Microchannels of Uniform But Arbitrary Cross-Section,” Int. J. Heat Mass Transfer, 51(15–16), pp. 3753–3762. [CrossRef]
Kuddusi, L. , and Çetegen, E. , 2009, “ Thermal and Hydrodynamic Analysis of Gaseous Flow in Trapezoidal Silicon Microchannels,” Int. J. Therm. Sci., 48(2), pp. 353–362. [CrossRef]
Renksizbulut, M. , Niazmand, H. , and Tercan, G. , 2006, “ Slip-Flow and Heat Transfer in Rectangular Microchannels With Constant Wall Temperature,” Int. J. Therm. Sci., 45(9), pp. 870–881. [CrossRef]
Tretheway, D. C. , and Meinhart, C. D. , 2004, “ A Generating Mechanism for Apparent Fluid Slip in Hydrophobic Microchannels,” Phys. Fluids, 16(5), pp. 1509–1515. [CrossRef]
Chun, M.-S. , and Lee, S. , 2005, “ Flow Imaging of Dilute Colloidal Suspension in PDMS-Based Microfluidic Chip Using Fluorescence Microscopy,” Colloids Surf., A, 267(1–3), pp. 86–94. [CrossRef]
Byun, D. , Kim, J. , Ko, H. S. , and Park, H. C. , 2008, “ Direct Measurement of Slip Flows in Superhydrophobic Microchannels With Transverse Grooves,” Phys. Fluids, 20(11), p. 113601. [CrossRef]
Ho, T. A. , Papavassiliou, D. V. , Lee, L. L. , and Striolo, A. , 2011, “ Liquid Water Can Slip on a Hydrophilic Surface,” Proc. Natl. Acad. Sci. U.S.A., 108(39), pp. 16170–16175. [CrossRef] [PubMed]
Joseph, P. , and Tabeling, P. , 2005, “ Direct Measurement of the Apparent Slip Length,” Phys. Rev. E, 71(3), p. 035303. [CrossRef]
Celata, G. P. , Cumo, M. , McPhail, S. , and Zummo, G. , 2006, “ Characterization of Fluid Dynamic Behaviour and Channel Wall Effects in Microtube,” Int. J. Heat Fluid Flow, 27(1), pp. 135–143. [CrossRef]
Rands, C. , Webb, B. W. , and Maynes, D. , 2006, “ Characterization of Transition to Turbulence in Microchannels,” Int. J. Heat Mass Transfer, 49(17–18), pp. 2924–2930. [CrossRef]
El-Genk, M. S. , and Yang, I.-H. , 2008, “ Friction Numbers and Viscous Dissipation Heating for Laminar Flows of Water in Microtubes,” ASME J. Heat Transfer, 130(8), p. 082405. [CrossRef]
Tretheway, D. C. , and Meinhart, C. D. , 2002, “ Apparent Fluid Slip at Hydrophobic Microchannel Walls,” Phys. Fluids, 14(3), pp. L9–L12. [CrossRef]
Celata, G. P. , Cumo, M. , and Zummo, G. , 2004, “ Thermal–Hydraulic Characteristics of Single-Phase Flow in Capillary Pipes,” Exp. Therm. Fluid Sci., 28(2–3), pp. 87–95. [CrossRef]
Harms, T. M. , Kazmierczak, M. J. , and Gerner, F. M. , 1999, “ Developing Convective Heat Transfer in Deep Rectangular Microchannels,” Int. J. Heat Fluid Flow, 20(2), pp. 149–157. [CrossRef]
Morini, G. L. , Lorenzini, M. , Salvigni, S. , and Celata, G. P. , 2009, “ Experimental Analysis of Microconvective Heat Transfer in the Laminar and Transitional Regions,” Exp. Heat Transfer, 23(1), pp. 73–93. [CrossRef]
Peng, X. F. , and Peterson, G. P. , 1996, “ Convective Heat Transfer and Flow Friction for Water Flow in Microchannel Structures,” Int. J. Heat Mass Transfer, 39(12), pp. 2599–2608. [CrossRef]
Rosengarten, G. , Cooper-White, J. , and Metcalfe, G. , 2006, “ Experimental and Analytical Study of the Effect of Contact Angle on Liquid Convective Heat Transfer in Microchannels,” Int. J. Heat Mass Transfer, 49(21–22), pp. 4161–4170. [CrossRef]
Ngoma, G. D. , and Erchiqui, F. , 2007, “ Heat Flux and Slip Effects on Liquid Flow in a Microchannel,” Int. J. Therm. Sci., 46(11), pp. 1076–1083. [CrossRef]
Morini, G. L. , 2005, “ Viscous Heating in Liquid Flows in Micro-Channels,” Int. J. Heat Mass Transfer, 48(17), pp. 3637–3647. [CrossRef]
Shojaeian, M. , and Koşar, A. , 2014, “ Convective Heat Transfer and Entropy Generation Analysis on Newtonian and Non-Newtonian Fluid Flows Between Parallel-Plates Under Slip Boundary Conditions,” Int. J. Heat Mass Transfer, 70, pp. 664–673. [CrossRef]
Shojaeian, M. , and Shojaee, S. M. N. , 2013, “ Viscous Dissipation Effect on Heat Transfer Characteristics of Mixed Electromagnetic/Pressure Driven Liquid Flows Inside Micropumps,” Korean J. Chem. Eng., 30(4), pp. 823–830. [CrossRef]
Kong, K. S. , and Ooi, K. T. , 2013, “ A Numerical and Experimental Investigation on Microscale Heat Transfer Effect in the Combined Entry Region in Macro Geometries,” Int. J. Therm. Sci., 68, pp. 8–19. [CrossRef]
Qu, W. , and Mudawar, I. , 2002, “ Experimental and Numerical Study of Pressure Drop and Heat Transfer in a Single-Phase Micro-Channel Heat Sink,” Int. J. Heat Mass Transfer, 45(12), pp. 2549–2565. [CrossRef]
Qu, W. , Mudawar, I. , Lee, S.-Y. , and Wereley, S. T. , 2006, “ Experimental and Computational Investigation of Flow Development and Pressure Drop in a Rectangular Micro-Channel,” ASME J. Electron. Packag., 128(1), pp. 1–9. [CrossRef]
Mohammed, H. A. , Gunnasegaran, P. , and Shuaib, N. H. , 2011, “ Numerical Simulation of Heat Transfer Enhancement in Wavy Microchannel Heat Sink,” Int. Commun. Heat Mass Transfer, 38(1), pp. 63–68. [CrossRef]
Mansoor, M. M. , Wong, K.-C. , and Siddique, M. , 2012, “ Numerical Investigation of Fluid Flow and Heat Transfer Under High Heat Flux Using Rectangular Micro-Channels,” Int. Commun. Heat Mass Transfer, 39(2), pp. 291–297. [CrossRef]
Xie, X. L. , Liu, Z. J. , He, Y. L. , and Tao, W. Q. , 2009, “ Numerical Study of Laminar Heat Transfer and Pressure Drop Characteristics in a Water-Cooled Minichannel Heat Sink,” Appl. Therm. Eng., 29(1), pp. 64–74. [CrossRef]
Shojaeian, M. , and Koşar, A. , 2015, “ Pool Boiling and Flow Boiling on Micro- and Nanostructured Surfaces,” Exp. Therm. Fluid Sci., 63, pp. 45–73. [CrossRef]
Toh, K. , Chen, X. , and Chai, J. , 2002, “ Numerical Computation of Fluid Flow and Heat Transfer in Microchannels,” Int. J. Heat Mass Transfer, 45(26), pp. 5133–5141. [CrossRef]
Li, Z. , Huai, X. , Tao, Y. , and Chen, H. , 2007, “ Effects of Thermal Property Variations on the Liquid Flow and Heat Transfer in Microchannel Heat Sinks,” Appl. Therm. Eng., 27(17–18), pp. 2803–2814. [CrossRef]
Lee, P.-S. , Garimella, S. V. , and Liu, D. , 2005, “ Investigation of Heat Transfer in Rectangular Microchannels,” Int. J. Heat Mass Transfer, 48(9), pp. 1688–1704. [CrossRef]
Herwig, H. , and Mahulikar, S. P. , 2006, “ Variable Property Effects in Single-Phase Incompressible Flows Through Microchannels,” Int. J. Therm. Sci., 45(10), pp. 977–981. [CrossRef]
Mahulikar, S. P. , and Herwig, H. , 2005, “ Theoretical Investigation of Scaling Effects From Macro-to-Microscale Convection Due to Variations in Incompressible Fluid Properties,” Appl. Phys. Lett., 86(1), p. 014105. [CrossRef]
Gulhane, N. P. , and Mahulikar, S. P. , 2011, “ Numerical Study of Microconvective Water-Flow Characteristics With Variations in Properties,” Nanoscale Microscale Thermophys. Eng., 15(1), pp. 28–47. [CrossRef]
Gulhane, N. P. , and Mahulikar, S. P. , 2012, “ Numerical Investigation on Laminar Microconvective Liquid Flow With Entrance Effect and Graetz Problem Due to Variation in Thermal Properties,” Heat Transfer Eng., 33(8), pp. 748–761. [CrossRef]
Shojaeian, M. , Yildiz, M. , and Koşar, A. , 2015, “ Convective Heat Transfer and Second Law Analysis of Non-Newtonian Fluid Flows With Variable Thermophysical Properties in Circular Channels,” Int. Commun. Heat Mass Transfer, 60, pp. 21–31. [CrossRef]
Guang, W. Z. , and Xueyong, M. , 2012, “ A Review on Slip Models for Gas Microflows Linearized Boltzmann Equation,” Microfluid. Nanofluid., 13(6), pp. 845–882. [CrossRef]
Cao, B. , Sun, J. , Chen, M. , and Guo, Z. , 2009, “ Molecular Momentum Transport at Fluid-Solid Interfaces in MEMS/NEMS: A Review,” Int. J. Mol. Sci., 10(11), pp. 4638–4706. [CrossRef] [PubMed]
Shih, Y.-P. , Huang, C.-C. , and Tsay, S.-Y. , 1995, “ Extended Leveque Solution for Laminar Heat Transfer to Power-Law Fluids in Pipes With Wall Slip,” Int. J. Heat Mass Transfer, 38(3), pp. 403–408. [CrossRef]
Tunc, G. , and Bayazitoglu, Y. , 2002, “ Heat Transfer in Rectangular Microchannels,” Int. J. Heat Mass Transfer, 45(4), pp. 765–773. [CrossRef]
Al-Shemmeri, T. , 2012, Engineering Fluid Mechanics, Bookboon, London.
Ramires, M. L. V. , Nieto de Castro, C. A. , Nagasaka, Y. , Nagashima, A. , Assael, M. J. , and Wakeham, W. A. , 1995, “ Standard Reference Data for the Thermal Conductivity of Water,” J. Phys. Chem. Ref. Data, 24(3), pp. 1377–1381. [CrossRef]
Shojaeian, M. , Yildiz, M. , and Koşar, A. , 2014, “ Heat Transfer Characteristics of Plug Flows With Temperature-Jump Boundary Conditions in Parallel-Plate Channels and Concentric Annuli,” Int. J. Therm. Sci., 84, pp. 252–259. [CrossRef]
Shojaeian, M. , and Shojaeian, M. , 2011, “ Analytical Solution of Mixed Electromagnetic/Pressure Driven Gaseous Flows in Microchannels,” Microfluid. Nanofluid., 12(1–4), pp. 553–564.
Shojaeian, M. , Zamanian, R. , and Koşar, A. , 2014, “ The Effect of Radiative Heat Transfer on Slip Flow Through Parallel-Plate Microchannels,” 15th International Heat Transfer Conference (IHTC), Kyoto, Japan, Aug. 10–15, pp. 3165–3177.
Bejan, A. , 1995, Entropy Generation Minimization: The Method of Thermodynamic Optimization of Finite-Size Systems and Finite-Time Processes, CRC Press, Boca Raton, FL.
Bejan, A. , 1982, Entropy Generation Through Heat and Fluid Flow, Wiley, New York.

Figures

Grahic Jump Location
Fig. 1

The schematic of the channel

Grahic Jump Location
Fig. 2

The comparison of analytical and computational normalized velocities for different slip coefficients at η = 1

Grahic Jump Location
Fig. 3

The deviation in the velocity profile obtained using the variable property model temperature-dependent properties from the one with the constant property model. Here, the velocity profile across the channel is provided for different slip coefficients and compared with the corresponding analytical results [50] for η = 1.

Grahic Jump Location
Fig. 4

The deviation in the velocity profile computed using temperature-dependent properties from the one with constant properties across the channel for different heat fluxes ratios at β = 0.1

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Fig. 5

The change in the fully developed Nusselt number based on the variable property model as a function of streamwise position for η = 1 and different slip coefficients. Here, Nusselt number is calculated using both inlet and average property values.

Grahic Jump Location
Fig. 6

The variation of Nusselt number of upper plate based on the constant property model with η for different slip coefficients

Grahic Jump Location
Fig. 7

The change in Nusselt number of lower plate based on the constant property model as a function of η for different slip coefficients

Grahic Jump Location
Fig. 8

(a) The difference in Nusselt numbers of upper plate based on variable and constant property (cp) models as a function η for different slip coefficients. Here, the Nusselt number is calculated using the inlet property. (b) The difference in Nusselt numbers of upper plate based on variable and constant property models as a function of η for different slip coefficients. Here, the Nusselt number is calculated using the average property.

Grahic Jump Location
Fig. 9

(a) The difference in Nusselt numbers of lower plate based on variable and constant property models as a function of η for different slip coefficients. Here, the Nusselt number is calculated using the inlet property. (b) The difference in Nusselt numbers of lower plate based on variable and constant property models as a function of η for different slip coefficients. Here, the Nusselt number is calculated using the average property.

Grahic Jump Location
Fig. 10

The distribution of entropy generation rate based on constant property model across the channel for η = 1 and different slip conditions

Grahic Jump Location
Fig. 11

The deviation between the entropy generation rate based on variable and constant property models across the channel for η = 1 and different values of β

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Fig. 12

The distribution of the entropy generation rate across the channel in the case of constant property model for β = 0.1 and different heat fluxes ratios

Grahic Jump Location
Fig. 13

The deviation of the distribution of entropy generation rate based on the variable property model from the one associated with the constant property model across the channel for different heat fluxes ratios and β = 0.1

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