An Analysis of Capillary Flow in Finite Length Interior Corners

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ISBN 13 :
Total Pages : 107 pages
Book Rating : 4.:/5 (128 download)

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Book Synopsis An Analysis of Capillary Flow in Finite Length Interior Corners by :

Download or read book An Analysis of Capillary Flow in Finite Length Interior Corners written by and published by . This book was released on 2021 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: We analyze the mathematical robustness of slow massively parallel interior corner flows in low gravity environments. An interior corner provides a preferential orientation in low gravity environments. This is a luxury usually only found on earth. It also provides a passive pumping mechanism due to geometry of a conduit. The driving force for this flow is a pressure difference due to local surface curvature gradients. An alternative reasoning is that due to the geometrical constraints the interior corner surface energy is unbounded below. This results in the liquid wicking into corners indefinitely. Interior corner flow's main quantity of interest is the meniscus height h(z,t). With this variable one can calculate an average velocity w̄, flow rate Q, and volume of liquid in the corner V. Our study is different from most as it is highly in-depth look at finite domains, while the majority of previous solutions focus on similarity solutions of infinite, or semi-infinite domains. Boundary conditions, more specifically the functions that are assigned to the governing equation, play an integral role to meniscus height. We study a simplified problem of corners initially filled with quiescent liquid at t = 0, and boundary conditions are instantaneously applied when t > 0. Approximate asymptotic expressions are found for this process, but more importantly a method of approximating nonlinear heat equations as a sequence of linear heat equations is proved as a viable method for engineering purposes. Time varying boundary conditions are analyzed using a method of model-approximation. This is where we simply remove the nonlinearity of the governing equation and insert a fitting term n. The method works surprising well for a range of constant and time varying boundary conditions. In all cases the relative error between solutions is less than 10%. This is a major theme of the thesis, that is, force initial value boundary value problems to be linear via a substitution and achieve results sufficient for engineering analysis. For parallel corners, volume can transfer between corners in a multiple corner system. This motivates formulating an ODE governing the average height H(t) instead of meniscus height h(z,t). We formulate an N corner start-up problem similar to the analysis of a single corner. This solution is only true for a quasi-steady process for creeping flows. In order to feed a corner fluid, manifold tubing is required. Tubing presents a drastic geometrical difference where manifold resistance is much greater then the corner. This means for parallel flows that the dynamics of the system is governed by the transients introduced by the corner's ability to store volume. Real world system fluid properties can vary from temperature, concentration, and other gradients. These effects alter the meniscus height. We consider temperature and concentration gradients which add additional terms to the spatial derivative side of the equation. The property variation is captured by only three axial location-dependent coefficient functions. Finally, corners that are pinned along the top edge are shown to have a governing equation with a similar form to meniscus height h(z,t) equation. The simplifications used to establish analytical results can also be utilized for numerical solutions, difference being that the new quantity of interest is now the axially-dependent contact angle function [theta](z,t), which is now free to pivot about the top edge of the groove.

Capillary Flow in an Interior Corner

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ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Capillary Flow in an Interior Corner by : Mark Milton Weislogel

Download or read book Capillary Flow in an Interior Corner written by Mark Milton Weislogel and published by . This book was released on 1996 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Capillary Flow in an Interior Corner

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Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (844 download)

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Book Synopsis Capillary Flow in an Interior Corner by : Mark M. Weislogel

Download or read book Capillary Flow in an Interior Corner written by Mark M. Weislogel and published by . This book was released on 1996 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Capillary Flow in Containers of Polygonal Section: Theory and Experiment

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ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Capillary Flow in Containers of Polygonal Section: Theory and Experiment by :

Download or read book Capillary Flow in Containers of Polygonal Section: Theory and Experiment written by and published by . This book was released on 2001 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computation of Capillary Flow in Interior Corners

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Publisher :
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.:/5 (621 download)

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Book Synopsis Computation of Capillary Flow in Interior Corners by : Cory L. Nardin

Download or read book Computation of Capillary Flow in Interior Corners written by Cory L. Nardin and published by . This book was released on 2005 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Capillary Driven Flows Along Differentially Wetted Interior Corners

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Publisher : BiblioGov
ISBN 13 : 9781289249434
Total Pages : 34 pages
Book Rating : 4.2/5 (494 download)

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Book Synopsis Capillary Driven Flows Along Differentially Wetted Interior Corners by : Eric L. Golliher

Download or read book Capillary Driven Flows Along Differentially Wetted Interior Corners written by Eric L. Golliher and published by BiblioGov. This book was released on 2013-07 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Closed-form analytic solutions useful for the design of capillary flows in a variety of containers possessing interior corners were recently collected and reviewed. Low-g drop tower and aircraft experiments performed at NASA to date show excellent agreement between theory and experiment for perfectly wetting fluids. The analytical expressions are general in terms of contact angle, but do not account for variations in contact angle between the various surfaces within the system. Such conditions may be desirable for capillary containment or to compute the behavior of capillary corner flows in containers consisting of different materials with widely varying wetting characteristics. A simple coordinate rotation is employed to recast the governing system of equations for flows in containers with interior corners with differing contact angles on the faces of the corner. The result is that a large number of capillary driven corner flows may be predicted with only slightly modified geometric functions dependent on corner angle and the two (or more) contact angles of the system. A numerical solution is employed to verify the new problem formulation. The benchmarked computations support the use of the existing theoretical approach to geometries with variable wettability. Simple experiments to confirm the theoretical findings are recommended. Favorable agreement between such experiments and the present theory may argue well for the extension of the analytic results to predict fluid performance in future large length scale capillary fluid systems for spacecraft as well as for small scale capillary systems on Earth.

Capillary Flow and Collapse in Wedge-Shaped Channels

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Publisher : Cuvillier Verlag
ISBN 13 : 3736939930
Total Pages : 164 pages
Book Rating : 4.7/5 (369 download)

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Book Synopsis Capillary Flow and Collapse in Wedge-Shaped Channels by : Jörg Klatte

Download or read book Capillary Flow and Collapse in Wedge-Shaped Channels written by Jörg Klatte and published by Cuvillier Verlag. This book was released on 2012-01-16 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The forced, isothermal, and incompressible capillary channel flow has been studied theoretically, experimentally, and numerically in this work using the example of an open wedge-shaped channel with a finite length. The curvature of the interface at the open side of the channel is coupled to the pressure difference between the surrounding gas pressure and liquid pressure along the flow path, and thus, a flow rate limit exists, above which the interface collapses. This work investigates this collapse phenomenon as a function of the channel geometry. The derivation of a one-dimensional differential flow equation is based on the streamline theory. The local pressure loss and both principal mean radii of curvature at the free surface are considered. To approximate the local pressure loss, the fully-developed flow profiles were compared to the three-dimensional numerical flow profiles. The physical understanding of the collapse behavior is generalized with the detection of a second characteristic collapse phenomena. In the inertial limit, the interface chokes at the smallest cross-section. In the viscous limit, the interface collapses at the outlet. A dimensionless number has been introduced, which classifies the inertial and viscous regime. Three numerical methods are presented to solve the capillary flow problems. The first method is a fast numerical tool for design and parametric studies of steady capillary flows. The second numerical approach solves the complete three-dimensional equation system for validation of the theoretical assumptions and time-dependent flows. The third method is specialist and solves the governing one-dimensional equations within seconds. Unique experimental data for inertia dominated flow has been recorded using the microgravity environment of a drop tower. The steady flow configuration, the transient reorientation behavior of the interface, and the collapse behavior have been observed. Additional terrestrial experiments study the hydrostatic influence. The experimental results validate the theoretical work and benchmark the numerical codes. The evaluation of a three-dimensional numerical parametric study reveals the desired velocity scale for the critical flow rate in the inertial and viscous regime. The study improves the physical understanding of such capillary corner flows, which is beneficial for liquid management in space as well as for the development of microfluidic applications on the ground.

Capillary Flow in Interconnected Interior Corners and Other Exciting Adventures

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Publisher :
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.:/5 (464 download)

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Book Synopsis Capillary Flow in Interconnected Interior Corners and Other Exciting Adventures by : Ben Semerjian

Download or read book Capillary Flow in Interconnected Interior Corners and Other Exciting Adventures written by Ben Semerjian and published by . This book was released on 2009 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lubricant transport towards tribocontact in capillary surface structures

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Publisher : KIT Scientific Publishing
ISBN 13 : 3731508141
Total Pages : 206 pages
Book Rating : 4.7/5 (315 download)

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Book Synopsis Lubricant transport towards tribocontact in capillary surface structures by : Klima, Joachim

Download or read book Lubricant transport towards tribocontact in capillary surface structures written by Klima, Joachim and published by KIT Scientific Publishing. This book was released on 2018-11-13 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: To counter lubricant shortage at a frictional contact (starvation), lubrication liquids, e.g. oils, are actively transported from a distant location towards the undersupplied tribocontact. This is done via small channels or generally via structures cut into a flat surface. In this way one can use capillary force as a cheap and reliable driver of the lubricant flow. Numerical modeling and experiments show that this method can be considered a promising new option to enhance tribocontact operation.

AIAA Journal

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ISBN 13 :
Total Pages : 894 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis AIAA Journal by : American Institute of Aeronautics and Astronautics

Download or read book AIAA Journal written by American Institute of Aeronautics and Astronautics and published by . This book was released on 2004 with total page 894 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 702 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quasi Steady Capillary Corner Flow

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ISBN 13 :
Total Pages : 57 pages
Book Rating : 4.:/5 (75 download)

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Book Synopsis Quasi Steady Capillary Corner Flow by : John Alex Baker

Download or read book Quasi Steady Capillary Corner Flow written by John Alex Baker and published by . This book was released on 2010 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is possible to drain slender containers filled with wetting liquids via capillary flows along the interior corners of the container. Usually the well established equations governing such flows demand numerical techniques. In the case of container draining unique boundary conditions resulting from local section geometry allow for a quasi-steady assumption and in turn permit analytical solutions. The quasi-steady assumption may also be employed for certain problems in which the corner flows cause passive capillary migration of the fluid within the container. The analytic solutions are useful because of the ease in which geometric effects may be observed. Container draining and capillary migration by means of corner flows are studied in a variety of container geometries. It is shown that careful selection of cross sectional shape can be used to maximize drain rates and minimize capillary migration times. Three-dimensional effects for these flows are investigated in tapering containers. Some simple micro-scale experiments are reported that provide confidence in the assumptions and application of the important boundary conditions that enable the solutions.

Proceedings of the 28th International Cryogenic Engineering Conference and International Cryogenic Materials Conference 2022

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Publisher : Springer Nature
ISBN 13 : 9819961289
Total Pages : 1176 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Proceedings of the 28th International Cryogenic Engineering Conference and International Cryogenic Materials Conference 2022 by : Limin Qiu

Download or read book Proceedings of the 28th International Cryogenic Engineering Conference and International Cryogenic Materials Conference 2022 written by Limin Qiu and published by Springer Nature. This book was released on 2023-11-01 with total page 1176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers selected papers from the 28th International Cryogenic Engineering Conference and International Cryogenic Materials Conference 2022 (ICEC28-ICMC 2022), held virtually in Hangzhou, China on 25-29 April 2022, due to COVID-19 pandemic. Highlighting the latest findings on cryogenic engineering and cryogenic materials, it covers topics including: large-scale cryogenic components, processes and systems for refrigeration, separation, and liquefaction of cryogenic fluids, small-scale cryocoolers, cryogenic space applications, thermal insulation, thermal-physical properties of cryogenic fluids and materials, superconducting materials, devices, systems and applications, etc. The book offers valuable information and insights for academic researchers, engineers in the industry, and operators in the cryogenic field.

Mass Transfer Driven Evaporation From Capillary Porous Media

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Publisher : CRC Press
ISBN 13 : 1000763404
Total Pages : 213 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Mass Transfer Driven Evaporation From Capillary Porous Media by : Rui Wu

Download or read book Mass Transfer Driven Evaporation From Capillary Porous Media written by Rui Wu and published by CRC Press. This book was released on 2022-11-09 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mass Transfer–Driven Evaporation from Capillary Porous Media offers a comprehensive review of mass transfer–driven drying processes in capillary porous media, including pore-scale and macro-scale experiments and models. It covers kinetics of drying of a single pore, pore-scale experiments and models, macro-scale experiments and models, and understanding of the continuum model from pore-scale studies. The book: Explains the detailed transport processes in porous media during drying. Introduces cutting-edge visualization experiments of drying in porous media. Describes the pore network models of drying in porous media. Discusses the continuum models of drying in porous media based on pore-scale studies. Points out future research opportunities. Aimed at researchers, students and practicing engineers, this work provides vital fundamental and applied information to those working in drying technology, food processes, applied energy, and mechanical and chemical engineering.

Gravity-Capillary Free-Surface Flows

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Publisher : Cambridge University Press
ISBN 13 : 0521811902
Total Pages : 331 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Gravity-Capillary Free-Surface Flows by : Jean-Marc Vanden-Broeck

Download or read book Gravity-Capillary Free-Surface Flows written by Jean-Marc Vanden-Broeck and published by Cambridge University Press. This book was released on 2010-07-15 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experienced and well-respected author; essential monograph for applied mathematicians and engineers.

Applied Mechanics Reviews

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ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Soft Matter Physics

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Publisher : Oxford University Press, USA
ISBN 13 : 0199652953
Total Pages : 271 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Soft Matter Physics by : Masao Doi

Download or read book Soft Matter Physics written by Masao Doi and published by Oxford University Press, USA. This book was released on 2013-07-04 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Soft matter (polymers, colloids, surfactants, liquid crystals) are an important class of materials for modern and future technologies. They are complex materials that behave neither like a fluid nor a solid. This book describes the characteristics of such materials and how we can understand such characteristics in the language of physics.