Analysis of laminar jet impingement and hydraulic jump on a horizontal surface with slip

Prince, Joseph; Maynes, Daniel; Crockett, Julie

doi:10.1063/1.4757659

Cited by 30 publications

(46 citation statements)

References 36 publications

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“…Predicting the slip velocity requires estimation of the slip length at the surface, as discussed in Refs. [40,46]. A previous study by Joseph et al [68] suggested that the effective slip length [44], b ef f , is related to the lateral length scale between the surface structures, L, through b ef f = αL, where α 0.28 leads to the best fitting of the experimental results.…”

Section: Theoretical Formulationmentioning

confidence: 95%

“…In other words, barring the point of impingement, an air layer is trapped in the micro-and nanoscale cavities of the solid target, thus changing the hydrodynamic [44] and thermal [45] boundary conditions. Hydrodynamically, researchers have accounted for this by introducing an aggregate slip boundary condition [46][47][48][49] at the surface, thus accounting for the shear-free boundary condition over the cavities and the no-slip boundary condition on the structures. From a thermal point of view, for metallic substrates, the boundary condition at the liquid-gas interface can be considered adiabatic due to the low thermal conductivity of the gas, while a conventional convection boundary condition exists at the liquid-solid interface [50].…”

Section: Introductionmentioning

confidence: 99%

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Orthogonal liquid-jet impingement on wettability-patterned impermeable substrates

et al. 2019

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Liquid jet impingement on flat, impermeable substrates is important for a multitude of applications, ranging from electronic equipment cooling, to fuel atomization, and erosion of solid surfaces. On a wettable surface, where a sufficient downstream liquid depth can be sustained after axisymmetric impingement, the jet forms a thin film on the substrate up to a radial distance where the film height suddenly increases, forming a hydraulic jump. On a superhydrophobic surface, where a downstream liquid depth is not naturally sustained, the thin film expands and breaks up into droplets, which are subsequently ejected in a random fashion outward, as carried by their radial momentum. In the present work, a facile, scalable, wettability-patterning approach is presented for delaying or even eliminating droplet breakup in the case of jet impingement on horizontal superhydrophobic surfaces. An analytical expression for predicting the hydraulic jump and droplet breakup locations is developed to designate the proper wettability patterns that facilitate alteration and control of the post-impingement liquid behavior. The axisymmetric model is extended to evaluate the radial variation of the competing forces responsible for film breakup, and a design criterion for the effective wettability patterns is proposed.

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Section: Theoretical Formulationmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Orthogonal liquid-jet impingement on wettability-patterned impermeable substrates

et al. 2019

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“…Additionally, much work has focused on drag reduction using SH surfaces in the turbulent flow regime [13][14][15][16]. Substantial work has also been performed regarding drops [17][18][19][20][21] as well as jet impingement on SH surfaces [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Inertial effects on thermal transport in superhydrophobic microchannels

Cowley

Maynes

Crockett

2016

International Journal of Heat and Mass Transfer

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This paper presents a numerical investigation on the effects of inertia for laminar fully developed flow in superhydrophobic microchannels where the surface structure consists of a square array of square pillars aligned with the flow direction. Infinite parallel plate channel flow is considered where the flow is assumed to be non-wetting and the meniscus is idealized as flat. A constant heat flux condition is imposed at the tops of the posts whereas the air/liquid interface is assumed to be adiabatic. A wide range of Peclet numbers (1-10000), relative channel spacing sizes (3 orders of magnitude), and solid fractions (0.02-0.9) are considered. The effect of these on friction factor-Reynolds number product, Nusselt number, hydrodynamic slip length and temperature jump length, is explored. Frictional drag and convective heat transfer are reduced for all cases explored. These reductions are greater for small solid fractions, small relative channel sizes, and low Peclet numbers. Interestingly, over a wide range of explored parameters the results correspond well with the analytical diffusion dominated results present in the literature. It is only at the highest Peclet numbers and smallest relative channel sizes that the results deviate significantly from the diffusion dominated Stokes flow scenario. A mapping is presented that illustrates for which parameter ranges the influence of inertia and relative channel size become significant.

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“…The coatings of the target plate using different sandpapers create superhydrophobic surfaces (Gogte et al 2005). Since superhydrophobic surfaces reduce the growth of the boundary layer and therefore reduce the shear stress and friction, it increases the radius of the hydraulic jump (Prince et al 2012). Figure 7 shows the effect of the target plate roughness on circular hydraulic jump radius at different flow rates.…”

Section: Fig 5 Effect Of the Flow Rate On The Downstream Fluid Deptmentioning

confidence: 99%

“…Since Onda et al (1996) first demonstrated artificial superhydrophobic surfaces in 1996, many studies have been reported on the production of superhydrophobic surfaces, their applications and properties (Shirtcliffe et al 2010;Ma and Hill 2006). Prince et al (2012) investigated the influence of superhydrophobic surfaces on the physics of laminar jet impingement on a flat horizontal surface. Their results indicated that the formation of hydraulic jumps on superhydrophobic surfaces, reduced the growth of the boundary layer, fluid height and friction coefficient, and thus increases the hydraulic jump radius.…”

Section: Introductionmentioning

confidence: 99%

The Effects of Target Plate Roughness on the Parameters of Circular Hydraulic Jumps: An Experimental Investigation

Soukhtanlou¹,

Teymourtash²,

Mahpeykar³

2018

JAFM

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When a vertical liquid jet impinges on a horizontal flat plate, at a certain distance from the location of impingement, the depth and velocity of the liquid change and a circular hydraulic jump is formed. The importance of this phenomenon in certain industries has motivated continued quest for more thorough knowledge of the parameters affecting it. Previous research has shown that physical parameters, such as flow rate, jet diameter and geometry of target plate, significantly affect the size and shape of hydraulic jumps. In this study, the effect of target plate roughness on the parameters of circular hydraulic jumps is experimentally investigated. The results show that adding roughness to the target plate leads to an increase in hydraulic jump radius. Furthermore, utilizing the results obtained from the experiments, an empirical law is proposed which determines the hydraulic jump radius and fluid height downstream of the jump position for a given surface roughness of target plate. One of the best-known models for the characterization of the behavior of circular hydraulic jumps is the Bush and Aristoff's model, which is presented as a curve for smooth surfaces. Since the effect of roughness of target plate surface is ignored in the Bush and Arisstof's model, the results obtained in this investigation are further used, for the first time, to improve this model for different degrees of surface roughness.

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Analysis of laminar jet impingement and hydraulic jump on a horizontal surface with slip

Cited by 30 publications

References 36 publications

Orthogonal liquid-jet impingement on wettability-patterned impermeable substrates

Orthogonal liquid-jet impingement on wettability-patterned impermeable substrates

Inertial effects on thermal transport in superhydrophobic microchannels

The Effects of Target Plate Roughness on the Parameters of Circular Hydraulic Jumps: An Experimental Investigation

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