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Frontiers in Energy

ISSN 2095-1701

ISSN 2095-1698(Online)

CN 11-6017/TK

邮发代号 80-972

2019 Impact Factor: 2.657

Frontiers in Energy  2020, Vol. 14 Issue (1): 127-138   https://doi.org/10.1007/s11708-020-0661-8
  本期目录
滑移长度和水力直径对超疏水微通道水力入口段的影响
龚文驰1,2, 沈俊1,2(), 戴巍1,2(), 邓增1,2, 董学强1,2, 公茂琼1,2
1. 中国科学院理化技术研究所
2. 中国科学院大学
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
Key Laboratory of Cryogenics, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, Beijing 100190, China; University of Chinese Academy of Sciences, Beijing 100049, China
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摘要:

本文研究了滑移长度和水力直径对超疏水通道层流水力入口段的影响。采用数值模拟方法,对Re数处在0.1到1000工况范围内的方形微通道开展研究。研究发现,在低Re数工况下,超疏水微通道的水力入口段长度相对传统微通道增大26.62%。在Re < 10时,无量纲水力入口段长度随滑移长度的增大而增大,但不受水力直径的影响。用于预测方形微通道水力入口段长度的关联式被提出,并对数值模拟结果表现出优异的预测性能,平均绝对相对偏差仅5.69%。本文阐明了超疏水微通道的水力入口段特性,同时也指明超疏水微通道在低Re数工况下具备更显著的强化传热潜力。

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.

Key wordslaminar flow    hydraulic entrance length    super hydrophobic surface    slip length    hydraulic diameter
收稿日期: 2019-06-14      出版日期: 2020-03-16
通讯作者: 沈俊,戴巍     E-mail: jshen@mail.ipc.ac.cn (Jun Shen);cryodw@mail.ipc.ac.cn (Wei Dai)
Corresponding Author(s): Jun SHEN,Wei DAI   
 引用本文:   
龚文驰, 沈俊, 戴巍, 邓增, 董学强, 公茂琼. 滑移长度和水力直径对超疏水微通道水力入口段的影响[J]. Frontiers in Energy, 2020, 14(1): 127-138.
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.
 链接本文:  
https://academic.hep.com.cn/fie/CN/10.1007/s11708-020-0661-8
https://academic.hep.com.cn/fie/CN/Y2020/V14/I1/127
Fig.1  
Fig.2  
Symbol Variable Value range
L Channel length/cm 1
b/a Aspect ratio 1
b× a Channel height and width/mm 100 × 100, 200 × 200, 500 × 500
ls Slip length/mm 2,5,10,12,15,20
uin Inlet velocity/(m·s1) 0.001–8
Re Reynolds number 0.1–1000
Tab.1  
Fig.3  
Fig.4  
Fig.5  
Fig.6  
Fig.7  
Fig.8  
Fig.9  
Fig.10  
Authors Correlations MRD/% MARD/% ss/%
Ahmad and Hassan [33] Lhy+= 0.61+0.14Re+0.0752 Re −9.27 13.51 14.88
Galvis et al [30]. Lhy+=0.741+0.09Re+0.0889Re 14.08 14.93 11.60
Han [49] Lhy+=0.0752Re −32.67 37.19 41.90
Wiginton and Dalton [50] Lhy+=0.09Re −19.42 43.73 50.15
Atkinson et al. [31] Lhy+=0.625+0.044Re −22.07 22.06 10.36
Chen [32] Lhy+= 0.631+0.035Re+0.044 Re −27.47 27.47 11.65
New correlation 0.05 5.69 6.32
Tab.2  
a Channel width/m
b Channel height/m
Dh 2ab/(a+ b), hydraulic diameter/m
H Distance of parallel plates/m
ls Slip length/m
L Length of channels or parallel plates/m
Lhy Hydraulic entrance length/m
L+hy Lhy/Dh, dimensionless hydraulic entrance length
MAD Mean relative deviation
MARD Mean absolute relative deviation
n Numbers of data points
p Pressure/Pa
Δp Pressure drop/Pa
Q Flow rate/(m3·s–1)
Re Reynolds number
ui Velocity along i direction (i = x, y, z)/(m·s–1)
uin Inlet velocity/(m·s–1)
uw Wall velocity/(m·s–1)
ufd The centerline velocity of fully developed flow/(m·s–1)
x, y, z Cartesian coordinates/m
cor Correlation
no-slip No-slip flow
sim Simulation
slip Slip flow
μ Dynamic viscosity/(Pa·s)
ρ Mass density/(kg·m–3)
σs Standard deviation
  
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