DYNAMIC and STATIC EFFECTS in WETTING of CAPILLARIES and FIBERS Taras Andrukh Clemson University, [email protected]
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Wettability As Related to Capillary Action in Porous Media
Wettability as Related to Capillary Action in Porous l\1edia SOCONY MOBIL OIL CO. JAMES C. MELROSE DALLAS, TEX. ABSTRACT interpreted with the aid of a model employing the concept of a cylindrical capillary tube. This The contact angle is one of the boundary approach has enjoyed a certain degree of success Downloaded from http://onepetro.org/spejournal/article-pdf/5/03/259/2153830/spe-1085-pa.pdf by guest on 26 September 2021 conditions for the differential equation specifying in correlating experimental results. 13 The general the configuration of fluid-fluid interfaces. Hence, ization of this model, however, to situations which applying knowledge concerning the wettability of a involve varying wettability, has not been established solid surface to problems of fluid distribution in and, in fact, is likely to be unsuccessful. porous solids, it is important to consider the In this paper another approach to this problem complexity of the geometrical shapes of the indi will be discussed. A considerable literature relating vidual, interconnected pores. to this approach exists in the field of soil science, As an approach to this problem, the ideal soil where it is referred to as the ideal soil model. model introduced by soil physicists is discussed Certain features of this model have also been in detail. This model predicts that the pore structure discussed by Purcell14 in relation to variable of typical porous solids will lead to hysteresis wettability. The application of this model, however, effects in capillary pressure, even if a zero value to studying the role of wettability in capillary of the contact angle is maintained. -
Capillary Action in Celery Carpet Again and See If You Can the Leaf Is in the Sun
Walking Water: Set aside the supplies you will need which are the 5 plastic cups (or 5 glasses or Go deeper and get scientific and test the differences between jars you may have), the three vials of food coloring (red, yellow & blue) and 4 the different types of paper towels you have in your kit (3), sheets of the same type of paper towel. You will also need time for this demo to the different food colorings and different levels of water in develop. your glass. Follow the directions here to wrap up your Fold each of the 4 paper towels lengthwise about 4 times so that you have nice understanding of capillary action: long strips. Line your five cups, glasses or jars up in a line or an arc or a circle. Fill the 1st, 3rd, and 5th cup about 1/3 to ½ full with tap water. Leave the in-between https://www.whsd.k12.pa.us/userfiles/1587/Classes/74249/c cups empty. Add just a couple or a few drops of food color to the cups with water appilary%20action.pdf – no mixing colors, yet. Put your strips of paper towel into the cups so that one end goes from a wet cup Leaf Transpiration to a dry cup and that all cups are linked by paper towel bridges. Watch the water Bending Water Does water really leave the plant start to wick up the paper. This is capillary action which involves adhesion and Find the balloons in the bags? through the leaves? cohesion properties of water. -
Bioinspired Inner Microstructured Tube Controlled Capillary Rise
Bioinspired inner microstructured tube controlled capillary rise Chuxin Lia, Haoyu Daia, Can Gaoa, Ting Wanga, Zhichao Donga,1, and Lei Jianga aChinese Academy of Sciences Key Laboratory of Bio-inspired Materials and Interfacial Sciences, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, 100190 Beijing, China Edited by David A. Weitz, Harvard University, Cambridge, MA, and approved May 21, 2019 (received for review December 17, 2018) Effective, long-range, and self-propelled water elevation and trans- viscosity resistance for subsequent bulk water elevation but also, port are important in industrial, medical, and agricultural applica- shrinks the inner diameter of the tube. On turning the peristome- tions. Although research has grown rapidly, existing methods for mimetic tube upside down, we can achieve capillary rise gating water film elevation are still limited. Scaling up for practical behavior, where no water rises in the tube. In addition to the cap- applications in an energy-efficient way remains a challenge. Inspired illary rise diode behavior, significantly, on bending the peristome- by the continuous water cross-boundary transport on the peristome mimetic tube replica into a “candy cane”-shaped pipe (closed sys- surface of Nepenthes alata,herewedemonstratetheuseof tem), a self-siphon is achieved with a high flux of ∼5.0 mL/min in a peristome-mimetic structures for controlled water elevation by pipe with a diameter of only 1.0 mm. bending biomimetic plates into tubes. The fabricated structures have unique advantages beyond those of natural pitcher plants: bulk wa- Results ter diode transport behavior is achieved with a high-speed passing General Description of the Natural Peristome Surface. -
The Life of a Surface Bubble
molecules Review The Life of a Surface Bubble Jonas Miguet 1,†, Florence Rouyer 2,† and Emmanuelle Rio 3,*,† 1 TIPS C.P.165/67, Université Libre de Bruxelles, Av. F. Roosevelt 50, 1050 Brussels, Belgium; [email protected] 2 Laboratoire Navier, Université Gustave Eiffel, Ecole des Ponts, CNRS, 77454 Marne-la-Vallée, France; fl[email protected] 3 Laboratoire de Physique des Solides, CNRS, Université Paris-Saclay, 91405 Orsay, France * Correspondence: [email protected]; Tel.: +33-1691-569-60 † These authors contributed equally to this work. Abstract: Surface bubbles are present in many industrial processes and in nature, as well as in carbon- ated beverages. They have motivated many theoretical, numerical and experimental works. This paper presents the current knowledge on the physics of surface bubbles lifetime and shows the diversity of mechanisms at play that depend on the properties of the bath, the interfaces and the ambient air. In particular, we explore the role of drainage and evaporation on film thinning. We highlight the existence of two different scenarios depending on whether the cap film ruptures at large or small thickness compared to the thickness at which van der Waals interaction come in to play. Keywords: bubble; film; drainage; evaporation; lifetime 1. Introduction Bubbles have attracted much attention in the past for several reasons. First, their ephemeral Citation: Miguet, J.; Rouyer, F.; nature commonly awakes children’s interest and amusement. Their visual appeal has raised Rio, E. The Life of a Surface Bubble. interest in painting [1], in graphism [2] or in living art. -
Surface Tension Bernoulli Principle Fluid Flow Pressure
Lecture 9. Fluid flow Pressure Bernoulli Principle Surface Tension Fluid flow Speed of a fluid in a pipe is not the same as the flow rate Depends on the radius of the pipe. example: Low speed Same low speed Large flow rate Small flow rate Relating: Fluid flow rate to Average speed L v is the average speed = L/t A v Volume V =AL A is the area Flow rate Q is the volume flowing per unit time (V/t) Q = (V/t) Q = AL/t = A v Q = A v Flow rate Q is the area times the average speed Fluid flow -- Pressure Pressure in a moving fluid with low viscosity and laminar flow Bernoulli Principle Relates the speed of the fluid to the pressure Speed of a fluid is high—pressure is low Speed of a fluid is low—pressure is high Daniel Bernoulli (Swiss Scientist 1700-1782) Bernoulli Equation 1 Prr v2 gh constant 2 Fluid flow -- Pressure Bernoulli Equation 11 Pr v22 r gh P r v r gh 122 1 1 2 2 2 Fluid flow -- Pressure Bernoulli Principle P1 P2 Fluid v2 v1 if h12 h 11 Prr v22 P v 122 1 2 2 1122 P11r v22 r gh P r v r gh 1rrv 1 v 1 P 2 P 2 2 22222 1 1 2 if v22 is higher then P is lower Fluid flow Venturi Effect –constricted tube enhances the Bernoulli effect P1 P3 P2 A A v1 1 v2 3 v3 A2 If fluid is incompressible flow rate Q is the same everywhere along tube Q = A v A v 1 therefore A1v 1 = A2 2 v2 = v1 A2 Continuity of flow Since A2 < A1 v2 > v1 Thus from Bernoulli’s principle P1 > P2 Fluid flow Bernoulli’s principle: Explanation P1 P2 Fluid Speed increases in smaller tube Therefore kinetic energy increases. -
On the Numerical Study of Capillary-Driven Flow in a 3-D Microchannel Model
Copyright © 2015 Tech Science Press CMES, vol.104, no.4, pp.375-403, 2015 On the Numerical Study of Capillary-driven Flow in a 3-D Microchannel Model C.T. Lee1 and C.C. Lee2 Abstract: In this article, we demonstrate a numerical 3-D chip, and studied the capillary dynamics inside the microchannel. We applied the level set method on the Navier-Stokes equation which incorporates the surface tension and two-phase flow characteristics. We analyzed the capillary dynamics near the junction of two microchannels. Such a highlighting point is important that it not only can provide the information of interface behavior when fluids are made into a head-on collision, but also emphasize the idea for the design of the chip. In addition, we study the pressure distribution of the fluids at the junction. It is shown that the model can produce nearly 2000 Pa pressure difference to help push the water through the microchannel against the air. The nonlinear interaction between capillary flows is recorded. Such a nonlinear phenomenon, to our knowledge, occurs due to the surface tension takes action with the wetted wall boundaries in the channel and the nonlinear governing equations for capillary flow. Keywords: Microchannel, Navier-Stokes equation, Capillary flow, Finite ele- ment analysis, two-phase flow. 1 Introduction Microfluidics system saw the importance of development of the bio-chip, which essentially is a miniaturized laboratory that can perform hundreds or thousands of simultaneous biochemical reactions. However, it is almost impossible to find any instrument to measure or detect the model, in particular, to comprehend the internal flow dynamics for the microchannel model, due to the model has been downsizing to a micro/nano- meter scale. -
Numerical Modeling of Capillary-Driven Flow in Open Microchannels: an Implication of Optimized Wicking Fabric Design
Scholars' Mine Masters Theses Student Theses and Dissertations Summer 2018 Numerical modeling of capillary-driven flow in open microchannels: An implication of optimized wicking fabric design Mehrad Gholizadeh Ansari Follow this and additional works at: https://scholarsmine.mst.edu/masters_theses Part of the Environmental Engineering Commons, Mathematics Commons, and the Mechanical Engineering Commons Department: Recommended Citation Ansari, Mehrad Gholizadeh, "Numerical modeling of capillary-driven flow in open microchannels: An implication of optimized wicking fabric design" (2018). Masters Theses. 7792. https://scholarsmine.mst.edu/masters_theses/7792 This thesis is brought to you by Scholars' Mine, a service of the Missouri S&T Library and Learning Resources. This work is protected by U. S. Copyright Law. Unauthorized use including reproduction for redistribution requires the permission of the copyright holder. For more information, please contact [email protected]. NUMERICAL MODELING OF CAPILLARY-DRIVEN FLOW IN OPEN MICROCHANNELS: AN IMPLICATION OF OPTIMIZED WICKING FABRIC DESIGN by MEHRAD GHOLIZADEH ANSARI A THESIS Presented to the Faculty of the Graduate School of the MISSOURI UNIVERSITY OF SCIENCE AND TECHNOLOGY In Partial Fulfillment of the Requirements for the Degree MASTER OF SCIENCE IN ENVIRONMENTAL ENGINEERING 2018 Approved by Dr. Wen Deng, Advisor Dr. Joseph Smith Dr. Jianmin Wang Dr. Xiong Zhang 2018 Mehrad Gholizadeh Ansari All Rights Reserved iii PUBLICATION THESIS OPTION This thesis has been formatted using the publication option: Paper I, pages 16-52, are intended for submission to the Journal of Computational Physics. iv ABSTRACT The use of microfluidics to transfer fluids without applying any exterior energy source is a promising technology in different fields of science and engineering due to their compactness, simplicity and cost-effective design. -
Capillary Action
UNIT ONE • LESSON EIGHT Pert. 2 Group Discussion • Did you get similar results for the celery and Whet. IP? carnations? • Were there different results for different lengths Ask students: If you could change one thing about Maving Cln Up: of carnations or celery? this investigation to learn something new, what •Where do you think the water goes once it gets would you try? When we change one part of an r===Capillary J\cliian I to the top of the plant? experiment to see how it affects our results, this • What did you learn about water from this ex change is known as a variable. Use the chart in periment? be drawn through the your journal to record your ideas about what might Have you ever wondered • Did everyone have the same results? how water gets from narrow capillary tubes happen if you change some of the variables. Some •What did you like about this investigation? 1.eerning the roots of a tree to inside the plant. For possibilities are: • What variables did you try? capillary action to occur, • Will you get the same results if you use different Clbjecliive& its leaves, or why pa per •What surprised you? towels are able to soak up the attraction between the quantities of water or different amounts of food a soggy spill? It has to do water molecules and the coloring? Students will: The "Why" and The "How" tree molecules (adhesion) • What if you use soapy water? Salty water? Cold with the property of water This investigation illustrates the property of water known as capillary adion. -
Equilibria of Pendant Droplets: Spatial Variation and Anisotropy of Surface Tension
Equilibria of Pendant Droplets: Spatial Variation and Anisotropy of Surface Tension by Dale G. Karr Department of Naval Architecture and Marine Engineering University of Michigan Ann Arbor, MI 48109-2145 USA Email: [email protected] 1 Abstract An example of capillary phenomena commonly seen and often studied is a droplet of water hanging in air from a horizontal surface. A thin capillary surface interface between the liquid and gas develops tangential surface tension, which provides a balance of the internal and external pressures. The Young-Laplace equation has been historically used to establish the equilibrium geometry of the droplet, relating the pressure difference across the surface to the mean curvature of the surface and the surface tension, which is presumed constant and isotropic. The surface energy per unit area is often referred to as simply surface energy and is commonly considered equal to the surface tension. The relation between the surface energy and the surface tension can be established for axisymmetric droplets in a gravitational field by the application of the calculus of variations, minimizing the total potential energy. Here it is shown analytically and experimentally that, for conditions of constant volume of the droplet, equilibrium states exist with surface tensions less than the surface energy of the water-air interface. The surface tensions of the interface membrane vary with position and are anisotropic. Keywords: capillary forces, droplets, surface energy, surface tension 2 Background For droplets of water in air with negligible inertia forces, the water mass is influenced by gravity and surface tension. These forces dominate at length scales of approximately 2mm, the characteristic capillary length (1-3). -
Directional Water Wicking on a Metal Surface Patterned by Microchannels
materials Article Directional Water Wicking on a Metal Surface Patterned by Microchannels Nima Abbaspour 1,*, Philippe Beltrame 1,* , Marie-Christine Néel 1 and Volker P. Schulz 2 1 UMR1114 EMMAH INRAE—Avignon Université, F-84914 Avignon, France; [email protected] 2 Department of Mechanical Engineering, Baden-Württemberg Cooperative State University Mannheim, Coblitzallee 1-9, D-68163 Mannheim, Germany; [email protected] * Correspondence: [email protected] (N.A.); [email protected] (P.B.) Abstract: This work focuses on the simulation and experimental study of directional wicking of water on a surface structured by open microchannels. Stainless steel was chosen as the material for the structure motivated by industrial applications as fuel cells. Inspired by nature and literature, we designed a fin type structure. Using Selective Laser Melting (SLM) the fin type structure was manufactured additively with a resolution down to about 30 µm. The geometry was manufactured with three different scalings and both the experiments and the simulation show that the efficiency of the water transport depends on dimensionless numbers such as Reynolds and Capillary numbers. Full 3D numerical simulations of the multiphase Navier-Stokes equations using Volume of Fluid (VOF) and Lattice-Boltzmann (LBM) methods reproduce qualitatively the experimental results and provide new insight into the details of dynamics at small space and time scales. The influence of the static contact angle on the directional wicking was also studied. The simulation enabled estimation of the contact angle threshold beyond which transport vanishes in addition to the optimal contact angle for transport. Keywords: directional wicking; patterned surface; wetting dynamics; capillarity, 3D simulation; Citation: Abbaspour, N.; Beltrame, Volume of Fluid; Lattice Boltzmann Method; Selective Laser Melting Manufacturing; microstructure B.; Néel, M.-C.; Schulz, V. -
A Similarity Parameter for Capillary Flows
INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS D: APPLIED PHYSICS J. Phys. D: Appl. Phys. 36 (2003) 3156–3167 PII: S0022-3727(03)65940-1 A similarity parameter for capillary flows K A Polzin and E Y Choueiri Electric Propulsion and Plasma Dynamics Laboratory (EPPDyL), Mechanical and Aerospace Engineering Department, Princeton University, Princeton, New Jersey 08544, USA E-mail: [email protected] Received 11 July 2003 Published 25 November 2003 Online at stacks.iop.org/JPhysD/36/3156 Abstract A similarity parameter for quasi-steady fluid flows advancing into horizontal capillary channels is presented. This parameter can be interpreted as the ratio of the average fluid velocity in the capillary channel to a characteristic velocity of quasi-steady capillary flows. It allows collapsing a large data set of previously published and recent measurements spanning five orders of magnitude in the fluid velocity, 14 different fluids, and four different geometries onto a single curve and indicates the existence of a universal prescription for such flows. On timescales longer than the characteristic time it takes for the flow to become quasi-steady, the one-dimensional momentum equation leads to a non-dimensional relationship between the similarity parameter and the penetration depth that agrees well with most measurements. Departures from that prescription can be attributed to effects that are not accounted for in the one-dimensional theory. This work is dedicated to Professor Harvey Lam on the occasion of his recovery. 1. Introduction At the beginning of the 20th century, there were several works concerned with the dynamics of fluid penetration into 1.1. -
Capillary Action Experiment
Discover How Capillary Action Works with the Walking Water Experiment Grades: K - 6 Time: 20 mins set-up; view results the next day Lesson summary: Students will learn about capillary action. What’s the big idea? Outcomes or purpose: Water can move through tubes or Capillary action is when a liquid, like water, moves porous materials through a process up something solid, like a tube or into a material called capillary action. with a lot of small holes. Capillary action works against gravity because of three special forces called cohesion, adhesion and surface tension. Teacher background: Capillary action is at work in LGT gardens every day. Can you name three examples? If you said: Growboxes, peat pellets and GrowEase capillary mat trays then you’re right! You get bonus points if you said plants too! So what is capillary action anyway? Capillary action is when a liquid, like water, moves up something solid, like a tube or into a material with a lot of small holes. Capillary action works against gravity because of three special forces called cohesion, adhesion and surface tension. Tiny particles of water - also called water molecules - are like a group of good friends. They like to stick together! So when one molecule meets other molecules they tend to stick together in a group. This is called cohesion. Water molecules also like to stick to solid things. Sticking to solid things is called adhesion. Some examples of solids are: paper towels, the sides of a hollow tube or growing medium. All of these things have one thing in common: they are porous.