Effects of slip length and hydraulic diameter on hydraulic entrance length of microchannels with superhydrophobic surfaces

Wenchi GONG, Jun SHEN, Wei DAI, Zeng DENG, Xueqiang DONG, Maoqiong GONG

PDF(1374 KB)
PDF(1374 KB)
Front. Energy ›› 2020, Vol. 14 ›› Issue (1) : 127-138. DOI: 10.1007/s11708-020-0661-8
RESEARCH ARTICLE

Effects of slip length and hydraulic diameter on hydraulic entrance length of microchannels with superhydrophobic surfaces

Author information +
History +

Abstract

This paper investigated effects of slip length and hydraulic diameter on the hydraulic entrance length of laminar flow in superhydrophobic microchannels. Numerical investigations were performed for square microchannels with Re ranging between 0.1 and 1000. It is found that superhydrophobic microchannels have a longer hydraulic entrance length than that of conventional ones by nearly 26.62% at a low Re. The dimensionless hydraulic entrance length slightly increases with the increasing slip length at approximately Re<10, and does not vary with the hydraulic diameter. A new correlation to predict the entrance length in square microchannels with different slip lengths was developed, which has a satisfying predictive performance with a mean absolute relative deviation of 5.69%. The results not only ascertain the flow characteristics of superhydrophobic microchannels, but also suggest that super hydrophobic microchannels have more significant advantages for heat transfer enhancement at a low Re.

Keywords

laminar flow / hydraulic entrance length / super hydrophobic surface / slip length / hydraulic diameter

Cite this article

Download citation ▾
Wenchi GONG, Jun SHEN, Wei DAI, Zeng DENG, Xueqiang DONG, Maoqiong GONG. Effects of slip length and hydraulic diameter on hydraulic entrance length of microchannels with superhydrophobic surfaces. Front. Energy, 2020, 14(1): 127‒138 https://doi.org/10.1007/s11708-020-0661-8

References

[1]
Tuckerman D B, Pease R F W. High-performance heat sinking for VLSI. IEEE Electron Device Letters, 1981, 2(5): 126–129
CrossRef Google scholar
[2]
Yang X H, Liu J. Liquid metal enabled combinatorial heat transfer science: toward unconventional extreme cooling. Frontiers in Energy, 2018, 12(2): 259–275
CrossRef Google scholar
[3]
Drummond K P, Back D, Sinanis M D, Janes D B, Peroulis D, Weibel J A, Garimella S V. A hierarchical manifold microchannel heat sink array for high-heat-flux two-phase cooling of electronics. International Journal of Heat and Mass Transfer, 2018, 117: 319–330
CrossRef Google scholar
[4]
Liu D, Wang Q, Wei J. Experimental study on drag reduction performance of mixed polymer and surfactant solutions. Chemical Engineering Research & Design, 2018, 132: 460–469
CrossRef Google scholar
[5]
Ermagan H, Rafee R. Geometric optimization of an enhanced microchannel heat sink with superhydrophobic walls. Applied Thermal Engineering, 2018, 130: 384–394
CrossRef Google scholar
[6]
Cheng Y, Xu J, Sui Y. Numerical study on drag reduction and heat transfer enhancement in microchannels with superhydrophobic surfaces for electronic cooling. Applied Thermal Engineering, 2015, 88: 71–81
CrossRef Google scholar
[7]
Ermagan H, Rafee R. Geometric optimization of an enhanced microchannel heat sink with superhydrophobic walls. Applied Thermal Engineering, 2018, 130: 384–394
CrossRef Google scholar
[8]
Andrews H G, Eccles E A, Schofield W C E, Badyal J P S. Three-dimensional hierarchical structures for fog harvesting. Langmuir, 2011, 27(7): 3798–3802
CrossRef Google scholar
[9]
Milani D, Abbas A, Vassallo A, Chiesa M, Bakri D A. Evaluation of using thermoelectric coolers in a dehumidification system to generate freshwater from ambient air. Chemical Engineering Science, 2011, 66(12): 2491–2501
CrossRef Google scholar
[10]
Khawaji A D, Kutubkhanah I K, Wie J M. Advances in seawater desalination technologies. Desalination, 2008, 221(1–3): 47–69
CrossRef Google scholar
[11]
Beér J M. High efficiency electric power generation: the environmental role. Progress in Energy and Combustion Science, 2007, 33(2): 107–134
CrossRef Google scholar
[12]
Pérez-Lombard L, Ortiz J, Pout C. A review on buildings energy consumption information. Energy and Building, 2008, 40(3): 394–398
CrossRef Google scholar
[13]
Li B, Yao R. Urbanisation and its impact on building energy consumption and efficiency in China. Renewable Energy, 2009, 34(9): 1994–1998
CrossRef Google scholar
[14]
Barthlott W, Neinhuis C. Purity of the sacred lotus, or escape from contamination in biological surfaces. Planta, 1997, 202(1): 1–8
CrossRef Google scholar
[15]
Bhushan B, Jung Y C. Micro- and nanoscale characterization of hydrophobic and hydrophilic leaf surfaces. Nanotechnology, 2006, 17(11): 2758–2772
CrossRef Google scholar
[16]
Gao X, Jiang L. Water-repellent legs of water striders. Nature, 2004, 432(7013): 36
CrossRef Google scholar
[17]
Cassie A B D, Baxter S. Wettability of porous surfaces. Transactions of the Faraday Society, 1944, 40: 546–551
CrossRef Google scholar
[18]
Navier C. Mémoire sur les lois du mouvement des fluides. Mémoires de l’Académie des Sciences de l’Institut de France, 1823, 1823(6): 389–416
[19]
Neto C, Evans D R, Bonaccurso E, Butt H J, Craig V S J. Boundary slip in Newtonian liquids: a review of experimental studies. Reports on Progress in Physics, 2005, 68(12): 2859–2897
CrossRef Google scholar
[20]
Ou J, Perot B, Rothstein J P. Laminar drag reduction in microchannels using ultrahydrophobic surfaces. Physics of Fluids, 2004, 16(12): 4635–4643
CrossRef Google scholar
[21]
Ou J, Rothstein J P. Direct velocity measurements of the flow past drag-reducing ultrahydrophobic surfaces. Physics of Fluids, 2005, 17(10): 103606
CrossRef Google scholar
[22]
Woolford B, Jeffs K, Maynes D, Webb B W. Laminar fully-developed flow in a microchannel with patterned ultrahydrophobic walls. In: ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems, 2005: 481–488
[23]
Guan N, Liu Z, Jiang G, Zhang C, Ding N. Experimental and theoretical investigations on the flow resistance reduction and slip flow in super-hydrophobic micro tubes. Experimental Thermal and Fluid Science, 2015, 69: 45–57
CrossRef Google scholar
[24]
Choi C H, Ulmanella U, Kim J, Ho C M, Kim C J. Effective slip and friction reduction in nanograted superhydrophobic microchannels. Physics of Fluids, 2006, 18(8): 087105
CrossRef Google scholar
[25]
Cheng Y P, Teo C J, Khoo B C. Microchannel flows with superhydrophobic surfaces: effects of Reynolds number and pattern width to channel height ratio. Physics of Fluids, 2009, 21(12): 122004
CrossRef Google scholar
[26]
Choi C H, Westin K J A, Breuer K S. Apparent slip flows in hydrophilic and hydrophobic microchannels. Physics of Fluids, 2003, 15(10): 2897–2902
CrossRef Google scholar
[27]
Rosengarten G, Cooper-White J, Metcalfe G. Experimental and analytical study of the effect of contact angle on liquid convective heat transfer in microchannels. International Journal of Heat and Mass Transfer, 2006, 49(21–22): 4161–4170
CrossRef Google scholar
[28]
Ermagan H, Rafee R. Effect of pumping power on the thermal design of converging microchannels with superhydrophobic walls. International Journal of Thermal Sciences, 2018, 132: 104–116
CrossRef Google scholar
[29]
Yun H, Chen B, Chen B. Numerical simulation of geometrical effects on the liquid flow and heat transfer in smooth rectangular microchannels. In: ASME 2009 Second International Conference on Micro/Nanoscale Heat and Mass Transfer, 2009: 271–277
[30]
Galvis E, Yarusevych S, Culham J R. Incompressible laminar developing flow in microchannels. Journal of Fluids Engineering, 2012, 134(1): 014503
CrossRef Google scholar
[31]
Atkinson B, Brocklebank M P, Card C C H, Smith J M. Low Reynolds number developing flows. AIChE Journal, 1969, 15(4): 548–553
CrossRef Google scholar
[32]
Chen R Y. Flow in the entrance region at low Reynolds numbers. Journal of Fluids Engineering, 1973, 95(1): 153–158
CrossRef Google scholar
[33]
Ahmad T, Hassan I. Experimental analysis of microchannel entrance length characteristics using microparticle image velocimetry. Journal of Fluids Engineering, 2010, 132(4): 041102
CrossRef Google scholar
[34]
Duan Z, Muzychka Y S. Slip flow in the hydrodynamic entrance region of circular and noncircular microchannels. Microfluidics and Nanofluidics, 2010, 132(1): 011201
[35]
Renksizbulut M, Niazmand H. Laminar flow and heat transfer in the entrance region of trapezoidal channels with constant wall temperature. Journal of Heat Transfer, 2006, 128(1): 63–74
CrossRef Google scholar
[36]
Ma N, Duan Z, Ma H, Su L, Liang P, Ning X, He B, Zhang X. Lattice Boltzmann simulation of the hydrodynamic entrance region of rectangular microchannels in the slip regime. Micromachines, 2018, 9(2): 87
CrossRef Google scholar
[37]
Hsieh S S, Lin C Y. Convective heat transfer in liquid microchannels with hydrophobic and hydrophilic surfaces. International Journal of Heat and Mass Transfer, 2009, 52(1–2): 260–270
CrossRef Google scholar
[38]
Chakraborty S, Anand K D. Implications of hydrophobic interactions and consequent apparent slip phenomenon on the entrance region transport of liquids through microchannels. Physics of Fluids, 2008, 20(4): 043602
CrossRef Google scholar
[39]
Ranjith S K, Patnaik B S V, Vedantam S. Hydrodynamics of the developing region in hydrophobic microchannels: a dissipative particle dynamics study. Physical Review. E, 2013, 87(3): 033303
CrossRef Google scholar
[40]
Yu K H, Tan Y X, Aziz M S A, Abdullah M Z. The Developing plane channel fow over water-repellent surface containing transverse grooves and ribs. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 2018, 45: 141–148
[41]
Xu J, Li Y. Boundary conditions at the solid–liquid surface over the multiscale channel size from nanometer to micron. International Journal of Heat and Mass Transfer, 2007, 50(13–14): 2571–2581
CrossRef Google scholar
[42]
Williams A. Enhanced laminar convective heat transfer using microstructured superhydrophobic surfaces. Dissertation for the Doctoral Degree. Albuquerque: University of New Mexico, 2016
[43]
Solomon B R, Khalil K S, Varanasi K K. Drag reduction using lubricant-impregnated surfaces in viscous laminar flow. Langmuir, 2014, 30(36): 10970–10976
CrossRef Google scholar
[44]
Lee C, Kim C J C J. Maximizing the giant liquid slip on superhydrophobic microstructures by nanostructuring their sidewalls. Langmuir, 2009, 25(21): 12812–12818
CrossRef Google scholar
[45]
Enright R, Eason C, Dalton T, Hodes M. Friction factors and Nusselt numbers in microchannels with superhydrophobic walls. In: ASME 4th International Conference on Nanochannels, Microchannels, and Minichannels, American Society of Mechanical Engineers, 2006: 599–609
[46]
Enright R, Hodes M, Salamon T, Muzychka Y. Isoflux nusselt number and slip length formulae for superhydrophobic microchannels. Journal of Heat Transfer, 2014, 136(1): 012402
CrossRef Google scholar
[47]
Sahar A M, Wissink J, Mahmoud M M, Karayiannis T G, Ashrul Ishak M S. Effect of hydraulic diameter and aspect ratio on single phase flow and heat transfer in a rectangular microchannel. Applied Thermal Engineering, 2017, 115: 793–814
CrossRef Google scholar
[48]
Kandlikar S, Garimella S, Li D, Colin S, King M R. Heat transfer and fluid flow in minichannels and microchannels. Butterworth-Heinemann: Elsevier, 2005
[49]
Han L S. Hydrodynamic entrance lengths for incompressible laminar flow in rectangular ducts. Journal of Applied Mechanics, 1960, 27(3): 403–409
CrossRef Google scholar
[50]
Wiginton C L, Dalton C. Incompressible laminar flow in the entrance region of a rectangular duct. Journal of Applied Mechanics, 1970, 37(3): 854–856
CrossRef Google scholar
[51]
Maynes D, Crockett J. Apparent temperature jump and thermal transport in channels with streamwise rib and cavity featured superhydrophobic walls at constant heat flux. Journal of Heat Transfer, 2014, 136(1): 011701
CrossRef Google scholar
[52]
Cowley A, Maynes D, Crockett J. Effective temperature jump length and influence of axial conduction for thermal transport in superhydrophobic channels. International Journal of Heat and Mass Transfer, 2014, 79: 573–583
CrossRef Google scholar
[53]
Maynes D, Webb B W, Crockett J, Solovjov V. Analysis of laminar slip-flow thermal transport in microchannels with transverse rib and cavity structured superhydrophobic walls at constant heat flux. Journal of Heat Transfer, 2013, 135(2): 021701
CrossRef Google scholar
[54]
Enright R, Eason C, Dalton T, Hodes M. Friction factors and Nusselt numbers in microchannels with superhydrophobic walls. In: ASME 4th International Conference on Nanochannels, Microchannels, and Minichannels, 2006: 599–609
[55]
Choi C H, Ulmanella U, Kim J, Ho C M, Kim C J. Effective slip and friction reduction in nanograted superhydrophobic microchannels. Physics of Fluids, 2006, 18(8): 087105
CrossRef Google scholar

Acknowledgments

This work was supported by the National Key Research and Development Plan (No. 2016YFB0402102) and the Critically Arranged Project, of Chinese Academy of Sciences (No. KGZD-SW-T01-1).

RIGHTS & PERMISSIONS

2020 Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature
AI Summary AI Mindmap
PDF(1374 KB)

Accesses

Citations

Detail

Sections
Recommended

/