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1

Han, Min Sub. "Thermal Transpiration of Liquid in Nanoscale Channel: A Molecular Dynamics Simulation Study." Key Engineering Materials 364-366 (December 2007): 879–84. http://dx.doi.org/10.4028/www.scientific.net/kem.364-366.879.

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The liquid flow in nanoscale channel under thermal gradient, or so-called thermal transpiration, is studied by Molecular Dynamics Simulation. The phenomenon was realized in two fluid systems which differed from each other in the methods for applying the temperature gradient. One used heat source and the other wall-heating. The channel was periodic and its walls consisted of two different materials: conducting, high energy wall and non-conducting slip wall. It is shown that the liquid in a periodic channel can effectively be driven by the thermal transpiration. Various characteristics of the fl
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2

Woodcock, James D., John E. Sader, and Ivan Marusic. "Induced flow due to blowing and suction flow control: an analysis of transpiration." Journal of Fluid Mechanics 690 (November 25, 2011): 366–98. http://dx.doi.org/10.1017/jfm.2011.441.

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AbstractIt has previously been demonstrated that the drag experienced by a Poiseuille flow in a channel can be reduced by subjecting the flow to a dynamic regime of blowing and suction at the walls of the channel (also known as ‘transpiration’). Furthermore, it has been found to be possible to induce a ‘bulk flow’, or steady motion through the channel, via transpiration alone. In this work, we derive explicit asymptotic expressions for the induced bulk flow via a perturbation analysis. From this we gain insight into the physical mechanisms at work within the flow. The boundary conditions used
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3

Balaj, Mojtaba, Hassan Akhlaghi, and Ehsan Roohi. "Rarefied gas flow behavior in micro/nanochannels under specified wall heat flux." International Journal of Modern Physics C 26, no. 08 (2015): 1550087. http://dx.doi.org/10.1142/s0129183115500874.

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In this paper, we investigate the effects of convective heat transfer on the argon gas flow through micro/nanochannels subject to uniform wall heat flux (UWH) boundary condition using the direct simulation Monte Carlo (DSMC) method. Both the hot wall (q wall > 0) and the cold wall (q wall < 0) cases are considered. We consider the effect of wall heat flux on the centerline pressure, velocity profile and mass flow rate through the channel in the slip regime. The effects of rarefaction, property variations and compressibility are considered. We show that UWH boundary condition leads to the
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4

Avsarkisov, V., M. Oberlack, and S. Hoyas. "New scaling laws for turbulent Poiseuille flow with wall transpiration." Journal of Fluid Mechanics 746 (March 28, 2014): 99–122. http://dx.doi.org/10.1017/jfm.2014.98.

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AbstractA fully developed, turbulent Poiseuille flow with wall transpiration, i.e. uniform blowing and suction on the lower and upper walls correspondingly, is investigated by both direct numerical simulation (DNS) of the three-dimensional, incompressible Navier–Stokes equations and Lie symmetry analysis. The latter is used to find symmetry transformations and in turn to derive invariant solutions of the set of two- and multi-point correlation equations. We show that the transpiration velocity is a symmetry breaking which implies a logarithmic scaling law in the core of the channel. DNS valida
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5

Qian, Kang, Taolue Liu, Fei He, Meng Wang, Longsheng Tang, and Jianxing Zhou. "Numerical Investigation on Radiation Effect in Transpiration Cooling." Journal of Physics: Conference Series 2097, no. 1 (2021): 012011. http://dx.doi.org/10.1088/1742-6596/2097/1/012011.

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Abstract This paper proposed a numerical strategy which could achieve the coupled modeling and solving of transpiration cooling with external high-temperature gas flow and especially take the radiation effect into account. Based on the numerical strategy, the heat and mass transfer characteristics of the transpiration cooling in a high-temperature gas channel were studied, and the radiation effect and corresponding influence factors were analyzed. The results indicated that the radiative heat flux takes an important role in the heat transfer between the transpiration cooling and external high-
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6

Yamaguchi, Hiroki, and Gota Kikugawa. "Thermal Transpiration Flow: Molecular Dynamics Study from Dense to Dilute Gas." Fluids 9, no. 1 (2023): 12. http://dx.doi.org/10.3390/fluids9010012.

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Thermal transpiration flow, a flow from cold to hot, driven by a temperature gradient along a wall under a high Knudsen number condition, was studied using the molecular dynamics method with a two-dimensional channel consisting of infinite parallel plates with nanoscale clearance based on our previous study. To accelerate the numerical analysis, a dense gas was employed in our previous study. In this study, the influence of the number density of gas was investigated by varying the height of the channel while keeping the number of molecules to achieve the flow ranging from dense to dilute gas w
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7

QUADRIO, M., J. M. FLORYAN, and P. LUCHINI. "Effect of streamwise-periodic wall transpiration on turbulent friction drag." Journal of Fluid Mechanics 576 (March 28, 2007): 425–44. http://dx.doi.org/10.1017/s0022112007004727.

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In this paper a turbulent plane channel flow modified by a distributed transpiration at the wall, with zero net mass flux, is studied through direct numerical simulation (DNS) using the incompressible Navier–Stokes equations. The transpiration is steady, uniform in the spanwise direction, and varies sinusoidally along the streamwise coordinate. The transpiration wavelength is found to dramatically affect the turbulent flow, and in particular the frictional drag. Long wavelengths produce large drag increases even with relatively small transpiration intensities, thus providing an efficient means
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8

Bae, Hyunji Jane, Adrián Lozano-Durán, Sanjeeb T. Bose, and Parviz Moin. "Dynamic slip wall model for large-eddy simulation." Journal of Fluid Mechanics 859 (November 16, 2018): 400–432. http://dx.doi.org/10.1017/jfm.2018.838.

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Wall modelling in large-eddy simulation (LES) is necessary to overcome the prohibitive near-wall resolution requirements in high-Reynolds-number turbulent flows. Most existing wall models rely on assumptions about the state of the boundary layer and require a priori prescription of tunable coefficients. They also impose the predicted wall stress by replacing the no-slip boundary condition at the wall with a Neumann boundary condition in the wall-parallel directions while maintaining the no-transpiration condition in the wall-normal direction. In the present study, we first motivate and analyse
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9

Shahzad, Aamir, Wael Al-Kouz, and Waqar A. Khan. "Variable Wall Permeability Effects on Flow and Heat Transfer in a Leaky Channel Containing Water-Based Nanoparticles." Processes 8, no. 4 (2020): 427. http://dx.doi.org/10.3390/pr8040427.

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This work presents the effects of variable wall permeability on two-dimensional flow and heat transfer in a leaky narrow channel containing water-based nanoparticles. The nanofluid is absorbed through the walls with an exponential rate. This situation arises in reverse osmosis, ultrafiltration, and transpiration cooling in industry. The mathematical model is developed by using the continuity, momentum, and energy equations. Using stream function, the transport equations are reduced and solved by using regular perturbation method. The expressions for stream function and temperature distribution
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10

Sugimoto, Shogo, and Hiroshi Sugimoto. "Thermal transpiration flows induced by differences in accommodation coefficients." Physics of Fluids 34, no. 4 (2022): 042005. http://dx.doi.org/10.1063/5.0084455.

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The behavior of a rarefied gas between two parallel plates, each having its uniform temperature but having a square wave-like distribution of the accommodation coefficients, is numerically analyzed using the Direct Simulation Monte Carlo method. The gas temperature near the plate becomes close to the plate temperature only if the accommodation coefficient of the wall is large enough. A lower accommodation coefficient leads to the difference between the gas temperature and the adjacent wall. This temperature distribution induces a gas flow similar to the well-known thermal transpiration flow al
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11

Lozano-Durán, Adrián, and Hyunji Jane Bae. "Characteristic scales of Townsend’s wall-attached eddies." Journal of Fluid Mechanics 868 (April 16, 2019): 698–725. http://dx.doi.org/10.1017/jfm.2019.209.

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Townsend (The Structure of Turbulent Shear Flow, 1976, Cambridge University Press) proposed a structural model for the logarithmic layer (log layer) of wall turbulence at high Reynolds numbers, where the dominant momentum-carrying motions are organised into a multiscale population of eddies attached to the wall. In the attached-eddy framework, the relevant length and velocity scales of the wall-attached eddies are the friction velocity and the distance to the wall. In the present work, we hypothesise that the momentum-carrying eddies are controlled by the mean momentum flux and mean shear with
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12

Tsai, Go-Long, Y. C. Lin, H. W. Wang, Y. F. Lin, Y. C. Su, and J. T. Yang. "Cooling transients in a sudden-expansion channel with varied rates of wall transpiration." International Journal of Heat and Mass Transfer 52, no. 25-26 (2009): 5990–99. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.08.006.

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13

Sheng, Qiang, Gui-Hua Tang, Xiao-Jun Gu, David R. Emerson, and Yong-Hao Zhang. "Simulation of thermal transpiration flow using a high-order moment method." International Journal of Modern Physics C 25, no. 11 (2014): 1450061. http://dx.doi.org/10.1142/s0129183114500612.

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Nonequilibrium thermal transpiration flow is numerically analyzed by an extended thermodynamic approach, a high-order moment method. The captured velocity profiles of temperature-driven flow in a parallel microchannel and in a micro-chamber are compared with available kinetic data or direct simulation Monte Carlo (DSMC) results. The advantages of the high-order moment method are shown as a combination of more accuracy than the Navier–Stokes–Fourier (NSF) equations and less computation cost than the DSMC method. In addition, the high-order moment method is also employed to simulate the thermal
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14

Zhang, Zhe, Xiang Luo, and Yubo Peng. "Study on the Particle Deposition Characteristics of Transpiration Cooling Structures with Sintered Wire Mesh." Micromachines 15, no. 4 (2024): 452. http://dx.doi.org/10.3390/mi15040452.

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Transpiration cooling based on a porous structure has an ultra-high cooling efficiency, which is expected to be one solution to improve the cooling technology of aero-engine turbine blades. However, particulate impurities in the gas flow channel continue to deposit on the surface of turbine components, blocking cooling holes, which causes great harm to the cooling of turbine blades. In this study, a sintered metal mesh plate was selected as the transpiration cooling structure, and the evolution of particle deposition quality and deposition thickness on the transpiration cooling surface with ti
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15

BEWLEY, THOMAS R. "A fundamental limit on the balance of power in a transpiration-controlled channel flow." Journal of Fluid Mechanics 632 (July 27, 2009): 443–46. http://dx.doi.org/10.1017/s0022112008004886.

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This paper is a direct sequel to Bewley & Aamo (J. Fluid Mech., vol. 499, 2004, pp. 183–196). It was conjectured in that paper, based on the numerical evidence available at that time, that the minimum drag of a constant mass flux channel flow might in fact be that of the laminar flow. This conjecture turned out to be false; Min et al. (J. Fluid Mech., vol. 558, 2006, 309318) discovered a curious control strategy which in fact reduces the time-averaged drag to sub-laminar levels. The present paper establishes rigorously that the power of the control input applied at the walls is always larg
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16

Mahanthesh, B., BJ Gireesha, GT Thammanna, T. Hayat, and A. Alsaedi. "Magnetohydrodynamic squeezing two-phase flow of particulate suspension in a rotating channel with transpiration cooling." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 4 (2018): 1224–35. http://dx.doi.org/10.1177/0954406218771725.

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This article addresses the time-dependent two-phase magnetohydrodynamic squeezing flow of dusty liquid. The fluid flow is considered in a rotating channel. The flow is constructed by squeezing of an upper plate and stretching of the lower plate and relevant equations are obtained. Numerical results are computed by utilizing shooting method along with the RK–Fehlberg scheme. The obtained solutions are validated by comparison with the existing analytical solutions. The effects of pertinent parameters on velocities of both phases are comprehensively discussed through graphical results. The numeri
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17

BEWLEY, THOMAS R., PARVIZ MOIN, and ROGER TEMAM. "DNS-based predictive control of turbulence: an optimal benchmark for feedback algorithms." Journal of Fluid Mechanics 447 (October 30, 2001): 179–225. http://dx.doi.org/10.1017/s0022112001005821.

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Direct numerical simulations (DNS) and optimal control theory are used in a predictive control setting to determine controls that effectively reduce the turbulent kinetic energy and drag of a turbulent flow in a plane channel at Reτ = 100 and Reτ = 180. Wall transpiration (unsteady blowing/suction) with zero net mass flux is used as the control. The algorithm used for the control optimization is based solely on the control objective and the nonlinear partial differential equation governing the flow, with no ad hoc assumptions other than the finite prediction horizon, T, over which the control
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18

Soong, C. Y., and G. J. Hwang. "Effects of stress work on similarity solutions of mixed convection in rotating channels with wall-transpiration." International Journal of Heat and Mass Transfer 36, no. 4 (1993): 845–56. http://dx.doi.org/10.1016/s0017-9310(05)80269-8.

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19

Zhang, Zhijun, Xiaowei Wang, Lili Zhao, Shiwei Zhang, and Fan Zhao. "Study of Flow Characteristics of Gas Mixtures in a Rectangular Knudsen Pump." Micromachines 10, no. 2 (2019): 79. http://dx.doi.org/10.3390/mi10020079.

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A Knudsen pump operates under the thermal transpiration effect or the thermal edge effect on the micro-scale. Due to the uneven temperature distribution of the walls in the channel axis direction or the constant temperature of the tips on the walls, directional thermally-induced flow is generated. In this paper the Direct Simulation Monte Carlo (DSMC) method is applied for N2–O2 gas mixtures in the ratios of 4:1, 1:1, and 1:4 with different Knudsen numbers in a classic rectangular Knudsen pump to study the flow characteristics of the gas mixtures in the pump. The results show that the changing
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20

Bajwa, Sana, Saif Ullah, Ilyas Khan, and Md Fayz-Al-Asad. "Transient Flow of Jeffrey Fluid over a Permeable Wall." Mathematical Problems in Engineering 2021 (September 8, 2021): 1–9. http://dx.doi.org/10.1155/2021/9999949.

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Transient incompressible flows of Jeffrey fluids over a permeable, flat, and infinite plate have been investigated. The plate motion is an oscillatory translation along the x-axis. Using the Laplace transform and perturbation method, the analytical solution for the velocity field in the transform domain has been obtained. The velocity field in the real domain has been determined by using the numerical Stehfest’s algorithm for the Laplace transform inversion. To have a validation of the obtained solution, we have determined the analytical solution for the flow without transpiration. It was foun
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21

Kraheberger, S., S. Hoyas, and M. Oberlack. "DNS of a turbulent Couette flow at constant wall transpiration up to." Journal of Fluid Mechanics 835 (November 27, 2017): 421–43. http://dx.doi.org/10.1017/jfm.2017.757.

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We present a new set of direct numerical simulation data of a turbulent plane Couette flow with constant wall-normal transpiration velocity $V_{0}$, i.e. permeable boundary conditions, such that there is blowing on the lower side and suction on the upper side. Hence, there is no net change in flux to preserve periodic boundary conditions in the streamwise direction. Simulations were performed at $Re_{\unicode[STIX]{x1D70F}}=250,500,1000$ with varying transpiration rates in the range $V_{0}^{+}\approx 0.03$ to 0.085. Additionally, a classical Couette flow case at $Re_{\unicode[STIX]{x1D70F}}=10
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22

Mao, X., H. M. Blackburn, and S. J. Sherwin. "Nonlinear optimal suppression of vortex shedding from a circular cylinder." Journal of Fluid Mechanics 775 (June 23, 2015): 241–65. http://dx.doi.org/10.1017/jfm.2015.304.

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This study is focused on two- and three-dimensional incompressible flow past a circular cylinder for Reynolds number $\mathit{Re}\leqslant 1000$. To gain insight into the mechanisms underlying the suppression of unsteadiness for this flow we determine the nonlinear optimal open-loop control driven by surface-normal wall transpiration. The spanwise-constant wall transpiration is allowed to oscillate in time, although steady forcing is determined to be most effective. At low levels of control cost, defined as the square integration of the control, the sensitivity of unsteadiness with respect to
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23

FLORYAN, J. M. "Wall-transpiration-induced instabilities in plane Couette flow." Journal of Fluid Mechanics 488 (July 10, 2003): 151–88. http://dx.doi.org/10.1017/s0022112003004804.

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24

Vigdorovich, Igor, and Martin Oberlack. "Turbulent Poiseuille flow with near-critical wall transpiration." PAMM 10, no. 1 (2010): 457–58. http://dx.doi.org/10.1002/pamm.201010221.

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25

Yamaguchi, Hiroki, Marcos Rojas-Cárdenas, Pierre Perrier, Irina Graur, and Tomohide Niimi. "Thermal transpiration flow through a single rectangular channel." Journal of Fluid Mechanics 744 (April 10, 2014): 169–82. http://dx.doi.org/10.1017/jfm.2014.70.

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AbstractA thermal transpiration flow through a single rectangular micro-channel was studied experimentally for various gas species, including all rare gases, in order to investigate the influence of gas species on the flow properties. The final equilibrium flow characteristics and relaxation time of the pressure variation were evaluated as functions of the rarefaction parameter. The thermal molecular pressure difference was well fitted by the log-normal distribution function, and its magnitude was found to be strongly dependent on the gas species: a larger pressure difference was obtained for
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26

Vigdorovich, Igor, and Martin Oberlack. "Analytical study of turbulent Poiseuille flow with wall transpiration." Physics of Fluids 20, no. 5 (2008): 055102. http://dx.doi.org/10.1063/1.2919111.

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27

Vigdorovich, Igor, and Martin Oberlack. "Asymptotic study of turbulent Poiseuille flow with wall transpiration." PAMM 8, no. 1 (2008): 10607–8. http://dx.doi.org/10.1002/pamm.200810607.

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28

Loureiro, J. B. R., and A. P. Silva Freire. "Slug flow in horizontal pipes with transpiration at the wall." Journal of Physics: Conference Series 318, no. 2 (2011): 022014. http://dx.doi.org/10.1088/1742-6596/318/2/022014.

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29

de Almeida Cruz, Daniel Onofre, and Erb Ferreira Lins. "The unsteady flow generated by an oscillating wall with transpiration." International Journal of Non-Linear Mechanics 45, no. 4 (2010): 453–57. http://dx.doi.org/10.1016/j.ijnonlinmec.2010.01.003.

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30

Wu, Hai Yyan, Meng Ding, and Yi Su. "The Study of Cavity Flow and Transpiration Cooling in Supersonic Combustion." Applied Mechanics and Materials 390 (August 2013): 370–74. http://dx.doi.org/10.4028/www.scientific.net/amm.390.370.

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To unravel the flow and heat transfer mechanism of the cavity in supersonic combustion, this paper studied the interaction of cavities and shear-layers by experiments and numerical simulation. The experiments of Nero-particle Plane Laser Scatter (NPLS) and Plane Laser-Induced Fluorescence (PLIF) were conducted to study the cavity shear-layer. In the same supersonic condition the flow was studied by the method of Large Eddy Simulation (LES). And we discussed the cavity shear-layer influence to supersonic flow and combustion, analyzed the evolvement of injection shear-layer, probed into the heat
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31

Zohdi, T. I. "Charged wall growth in channel flow." International Journal of Engineering Science 48, no. 1 (2010): 15–20. http://dx.doi.org/10.1016/j.ijengsci.2009.06.004.

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32

JIMÉNEZ, JAVIER, MARKUS UHLMANN, ALFREDO PINELLI, and GENTA KAWAHARA. "Turbulent shear flow over active and passive porous surfaces." Journal of Fluid Mechanics 442 (August 24, 2001): 89–117. http://dx.doi.org/10.1017/s0022112001004888.

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The behaviour of turbulent shear flow over a mass-neutral permeable wall is studied numerically. The transpiration is assumed to be proportional to the local pressure fluctuations. It is first shown that the friction coefficient increases by up to 40% over passively porous walls, even for relatively small porosities. This is associated with the presence of large spanwise rollers, originating from a linear instability which is related both to the Kelvin–Helmholtz instability of shear layers, and to the neutral inviscid shear waves of the mean turbulent profile. It is shown that the rollers can
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33

Dahmen, W., S. Müller, M. Rom, S. Schweikert, M. Selzer, and J. von Wolfersdorf. "Numerical boundary layer investigations of transpiration-cooled turbulent channel flow." International Journal of Heat and Mass Transfer 86 (July 2015): 90–100. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2015.02.075.

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34

Gómez, F., H. M. Blackburn, M. Rudman, A. S. Sharma, and B. J. McKeon. "Streamwise-varying steady transpiration control in turbulent pipe flow." Journal of Fluid Mechanics 796 (May 19, 2016): 588–616. http://dx.doi.org/10.1017/jfm.2016.279.

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The effect of streamwise-varying steady transpiration on turbulent pipe flow is examined using direct numerical simulation at fixed friction Reynolds number $\mathit{Re}_{{\it\tau}}=314$. The streamwise momentum equation reveals three physical mechanisms caused by transpiration acting in the flow: modification of Reynolds shear stress, steady streaming and generation of non-zero mean streamwise gradients. The influence of these mechanisms has been examined by means of a parameter sweep involving transpiration amplitude and wavelength. The observed trends have permitted identification of wall t
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35

Xiao, Xuefeng, Guangbo Zhao, Weixing Zhou, and Sergey Martynenko. "Large-eddy simulation of transpiration cooling in turbulent channel with porous wall." Applied Thermal Engineering 145 (December 2018): 618–29. http://dx.doi.org/10.1016/j.applthermaleng.2018.09.056.

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36

Ziółkowski, Paweł, and Janusz Badur. "A theoretical, numerical and experimental verification of the Reynolds thermal transpiration law." International Journal of Numerical Methods for Heat & Fluid Flow 28, no. 1 (2018): 64–80. http://dx.doi.org/10.1108/hff-10-2016-0412.

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Purpose The purpose of this paper is the theoretical presentation of tensorial formulation with surface mobility forces and numerical verification of Reynolds thermal transpiration law in a contemporary experiment with nanoflow. Design/methodology/approach The velocity profiles in a single microchannel are calculated by solving the momentum equations and using thermal transpiration force as the boundary conditions. The mass flow rate and pressure of unstationary thermal transpiration modeling of the benchmark experiment has been achieved by the implementation of the thermal transpiration mobil
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37

Floryan, J. M. "Flow in a meandering channel." Journal of Fluid Mechanics 770 (March 30, 2015): 52–84. http://dx.doi.org/10.1017/jfm.2015.135.

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A comprehensive analysis of the pressure-gradient driven flow in a meandering channel has been presented. This geometry is of interest as it can be used for the creation of streamwise vortices which magnify the transverse transport of scalar quantities, e.g. heat transfer. The linear stability theory has been used to determine the meandering wavelengths required for the vortex formation. It has been demonstrated that reduction of the wavelength results in the onset of flow separation which, when combined with the wall geometry, results in an effective channel narrowing: the stream ‘lifts up’ a
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38

Yan, Wei-Mon, and Pei-Yuan Tzeng. "Transport Phenomena of Developing Laminar Mixed Convection in Inclined Rectangular Ducts With Wall Transpiration." Journal of Heat Transfer 123, no. 4 (2001): 810–14. http://dx.doi.org/10.1115/1.1374439.

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A numerical calculation has been carried out to investigate the mixed convection heat transfer in inclined rectangular ducts with wall transpiration. The vorticity-velocity method is employed to solve the governing equations. The present paper particularly addresses the effects of the independent parameters, namely, mixed convection parameter Δ, modified Rayleigh number Ra*, wall Reynolds number Rew and aspect ratio γ. The predicted results show that either wall injection or wall suction has a considerable impact on the flow structure and heat transfer performance. Additionally, it was found t
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39

Mohamad Alif Ismail, Mohamad Hidayad Ahmad Kamal, Lim Yeou Jiann, Anati Ali, and Sharidan Shafie. "Transient Free Convection Mass Transfer of Second-grade Fluid Flow with Wall Transpiration." CFD Letters 13, no. 11 (2021): 35–52. http://dx.doi.org/10.37934/cfdl.13.11.3552.

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The study of mass transfer in the non-Newtonian fluid is essential in understanding the engine lubrication, the cooling system of electronic devices, and the manufacturing process of the chemical industry. Optimal performance of the practical applications requires the appropriate conditions. The unsteady transient free convective flow of second-grade fluid with mass transfer and wall transpiration is concerned in the present communication. The behavior of the second-grade fluid under the influence of injection or suction is discussed. Suitable non-dimensional variables are utilized to transfor
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40

Muthu, P., and Tesfahun Berhane. "Fluid flow in asymmetric channel." Tamkang Journal of Mathematics 42, no. 2 (2010): 149–62. http://dx.doi.org/10.5556/j.tkjm.42.2011.631.

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In this paper, we investigate steady, viscous, incompressible fluid flow in an asymmetric channel with absorbing walls which may have possible applications in flows in renal tubules. The effect of fluid absorption through permeable wall is accounted for by prescribing flux as a function of axial distance. The nonlinear governing equations of motion are linearized by perturbation method by assuming $\delta$ (ratio of inlet width to wavelength) as a small parameter and the resulting equations are solved by numerical methods. The effects of reabsorption coefficient ($ \alpha $) and phase differen
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41

Liu, Yanming, Jiahe Li, and Alexander J. Smits. "Roughness effects in laminar channel flow." Journal of Fluid Mechanics 876 (August 15, 2019): 1129–45. http://dx.doi.org/10.1017/jfm.2019.603.

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The effects of roughness on the frictional drag and pressure drop in laminar channel flow are investigated numerically. The inflow is fully developed smooth wall flow, and square rib roughness, aligned normal to the bulk flow direction, is introduced as a step change. The roughness height and spacing are systematically varied, and the flow is examined as it develops over the rough wall and becomes fully developed. The length of the development region depends primarily on the roughness height, although the effects of spacing become more important as the height decreases. In the fully developed
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42

Mao, X. "Sensitivity of forces to wall transpiration in flow past an aerofoil." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2184 (2015): 20150618. http://dx.doi.org/10.1098/rspa.2015.0618.

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The adjoint-based sensitivity analyses well explored in hydrodynamic stability studies are extended to calculate the sensitivity of forces acting on an aerofoil with respect to wall transpiration. The magnitude of the sensitivity quantifies the controllability of the force, and the distribution of the sensitivity represents a most effective control when the control magnitude is small enough. Since the sensitivity to streamwise control is one order smaller than that to the surface-normal one, the work is concentrated on the normal control. In direct numerical simulations of flow around a NACA00
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43

Avsarkisov, V., M. Oberlack, and S. Hoyas. "New scaling laws for turbulent Poiseuille flow with wall transpiration – ERRATUM." Journal of Fluid Mechanics 751 (June 30, 2014): 746. http://dx.doi.org/10.1017/jfm.2014.331.

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HAHN, SEONGHYEON, JONGDOO JE, and HAECHEON CHOI. "Direct numerical simulation of turbulent channel flow with permeable walls." Journal of Fluid Mechanics 450 (January 9, 2002): 259–85. http://dx.doi.org/10.1017/s0022112001006437.

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The main objectives of this study are to suggest a proper boundary condition at the interface between a permeable block and turbulent channel flow and to investigate the characteristics of turbulent channel flow with permeable walls. The boundary condition suggested is an extended version of that applied to laminar channel flow by Beavers & Joseph (1967) and describes the behaviour of slip velocities in the streamwise and spanwise directions at the interface between the permeable block and turbulent channel flow. With the proposed boundary condition, direct numerical simulations of turbule
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45

Lehmann, G. L., and R. A. Wirtz. "The Effect of Variations in Stream-Wise Spacing and Length on Convection From Surface Mounted Rectangular Components." Journal of Electronic Packaging 111, no. 1 (1989): 26–32. http://dx.doi.org/10.1115/1.3226504.

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The effect of variations in stream-wise spacing and component length on convection from rectangular, surface mounted components in a channel flow are reported. Component dimensions are the same order of magnitude as the channel wall-to-wall spacing. The channel Reynolds number, with air as the coolant, ranged from 670 to 3000. Flow visualization showed that under the above conditions the channel flow is transitional. The effect of variations in component stream-wise spacing on the level of turbulence in the channel and on the interaction between the core of the channel flow and the recirculati
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López, Fabián, and Marcelo H. García. "Wall Similarity in Turbulent Open-Channel Flow." Journal of Engineering Mechanics 125, no. 7 (1999): 789–96. http://dx.doi.org/10.1061/(asce)0733-9399(1999)125:7(789).

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47

Smith, F. T., and P. Servini. "Channel Flow Past A Near-Wall Body." Quarterly Journal of Mechanics and Applied Mathematics 72, no. 3 (2019): 359–85. http://dx.doi.org/10.1093/qjmam/hbz009.

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Summary Near-wall behaviour arising when a finite sized body moves in a channel flow is investigated for high flow rates. This is over the interactive-flow length scale that admits considerable upstream influence. The focus is first on quasi-steady two-dimensional flow past a thin body in the outer reaches of one of the viscous wall layers. The jump conditions near the front of the body play an important part in the whole solution which involves an unusual multi-structured flow due to the presence of the body: flows above, below, ahead of and behind the body interact fully. Analytical solution
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48

Nawaz, Dil, Khan Marawat, and Saleem Asghar. "Peristaltic Flow in a Deformable Channel." Zeitschrift für Naturforschung A 66, no. 1-2 (2011): 24–32. http://dx.doi.org/10.1515/zna-2011-1-205.

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The effects of wall contraction or expansion on the characteristics of the peristaltic flow have been considered in this paper. For that, we present a theoretical model of laminar incompressible viscous peristaltic flow in a deformable channel. The problem is modeled in terms of unsteady twodimensional Navier Stokes equations and the solution is obtained using the perturbation method. The physical parameters appearing due to deformation and the peristaltic motion are the wall expansion ratio (α) and the wave number (δ ), respectively. Analytic perturbation results are obtained for small wave n
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Wan, Zhiyong, Zhanghua Lian, Wei Sun, and Nan An. "Research on erosion wear law of four-way flow channel of wellhead fracturing in ultra-deep wells." Journal of Physics: Conference Series 2791, no. 1 (2024): 012051. http://dx.doi.org/10.1088/1742-6596/2791/1/012051.

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Abstract This paper establishes a 1/2 three-dimensional finite element model that considers multiple factors affecting the erosion rate of the four-way fracturing structure on site. The model can simulate the effects of different inlet velocities, dynamic viscosities, outlet quantities, outlet pressures, and channel wall angles on the velocity and streamline distribution of the four-way channel. It is also possible to analyze the effects of different factors such as inlet velocity, sand carrying mass flow rate, inlet quantity, fluid dynamic viscosity, fracturing fluid particle density, fractur
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Md Yasin, Roliza, Erwan Hafizi Kasiman, Norsarahaida Saidina Amin, Airil Yasreen Mohd Yassin, Ahmad Kueh Beng Hong, and Norzieha Mustapha. "Effect of Wall Oscillation Period on Fluid Flow in Branched Channel with a Moving Indentation." Malaysian Journal of Fundamental and Applied Sciences 19, no. 2 (2023): 142–53. http://dx.doi.org/10.11113/mjfas.v19n2.2659.

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The numerical simulation of two-dimensional fluid flow in T-shaped and Y-shaped channels having a single moving indented wall is performed by the finite element method in the Arbitrary Lagrangian-Eulerian frame. The motion of the indented wall is defined as a hyperbolic function, and it is located at a small segment at the bottom wall in the parent channel. The smallest value of the wall oscillation period causes the waviest core flow in the main channel, resulting in bigger vortices and greater flow separation region in the branches, especially during the outward indentation motion. This flow
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