Thermocapillary flow between grooved superhydrophobic surfaces: transverse temperature gradients

2019 ◽  
Vol 871 ◽  
pp. 775-798 ◽  
Author(s):  
Ehud Yariv ◽  
Darren Crowdy

We consider the thermocapillary motion of a liquid layer which is bounded between two superhydrophobic surfaces, each made up of a periodic array of highly conducting solid slats, with flat bubbles trapped in the grooves between them. Following the recent analysis of the longitudinal problem (Yariv, J. Fluid Mech., vol. 855, 2018, pp. 574–594), we address here the transverse problem, where the macroscopic temperature gradient that drives the flow is applied perpendicular to the grooves, with the goal of calculating the volumetric flux between the two surfaces. We focus upon the situation where the slats separating the grooves are long relative to the groove-array period, for which case the temperature in the solid portions of the superhydrophobic plane is piecewise uniform. This scenario, which was investigated numerically by Baier et al. (Phys. Rev. E, vol. 82 (3), 2010, 037301), allows for a surprising analogy between the harmonic conjugate of the temperature field in the present problem and the unidirectional velocity in a comparable longitudinal pressure-driven flow problem over an interchanged boundary. The main body of the paper is concerned with the limit of deep channels, where the problem reduces to the calculation of the heat transport and flow about a single surface and the associated ‘slip’ velocity at large distance from that surface. Making use of Lorentz’s reciprocity, we obtain that velocity as a simple quadrature, providing the analogue to the expression obtained by Baier et al. (2010) in the comparable longitudinal problem. The rest of the paper is devoted to the diametric limit of shallow channels, which is analysed using a Hele-Shaw approximation, and the singular limit of small solid fractions, where we find a logarithmic scaling of the flux with the solid fraction. The latter two limits do not commute.

2012 ◽  
Vol 5 (1) ◽  
pp. 93-113 ◽  
Author(s):  
Marie Henry ◽  
◽  
Danielle Hilhorst ◽  
Robert Eymard ◽  
◽  
...  

Author(s):  
E. Dupré ◽  
G. Schatten

Sperm of decapod crustaceans are formed by a round or cup-shaped body, a complex acrosome and one a few appendages emerging from the main body. Although this sperm does not have motility, it has some components of the cytoskeleton like microtubules, which are found inside the appendages. Actin filaments have been found in the spike of penaeidae sperms. The actual participation of the crustacean decapod sperm cytoskeleton during fertilization is not well understood. Actin is supposed to play an active role in drawing the penaeidae shrimp sperm closer to the egg after bending of the spike. The present study was aimed at the localization of actin filaments in sperm of the Robinson Crusoe island lobster, Jasus frontalis and in the crayfish Orconectes propincus, by fluorescent probes and low voltage scanning electron microscopy.


1995 ◽  
Vol 5 (2) ◽  
pp. 249-263
Author(s):  
John F. Wilson

Over the last decade, a noteworthy number of published studies have, in one fashion or another, been defined with reference to religious denominations. This is an arresting fact, for, coincidentally, the status of religious denominations in the society has been called into question. Some formerly powerful bodies have lost membership (at least relatively speaking) and now experience reduced influence, while newer forms of religious organization(s)—e.g., parachurch groups and loosely structured movements—have flourished. The most compelling recent analysis of religion in modern American society gives relatively little attention to them. Why, then, have publications in large numbers appeared, in scale almost seeming to be correlated inversely to this trend?No single answer to this question is adequate. Surely one general factor is that historians often “work out of phase” with contemporary social change. If denominations have been displaced as a form of religious institution in society in the late twentieth century, then their prominence in earlier eras is all the more intriguing.


Author(s):  
Guilherme Ramalho Costa ◽  
José Aguiar santos junior ◽  
José Ricardo Ferreira Oliveira ◽  
Jefferson Gomes do Nascimento ◽  
Gilmar Guimaraes

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