Download or read book A Model of Periodic Capillary Flow written by Denise Rae Kellogg and published by . This book was released on 1988 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Development of a Two dimensional Model of Blood Microcirculation Flows written by Kevin M. Sabo and published by . This book was released on 2017 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents the development of a dimensionless blood microcirculation model for the study of blood microcirculation flows. It is a two dimensional, axially symmetric, incompressible, Newtonian-flow, Krogh cylinder model subjected to axially periodic boundary conditions. This model formulation allows for the use of the streamfunction-vorticity formulation of the Navier-Stokes equation, which offers simplification to boundary conditions and also allows for the use of a non-uniform, collocated mesh. A streamfunction vorticity formulation of the Immersed Boundary Method is also developed, specifically for the boundary conditions along the immersed boundary (red blood cell membrane). Periodic boundary conditions are used, with the assumption of fully-developed flow, in order to focus on the effects of the transient diffusion of oxygen into the surrounding tissue, orthogonal to the capillary flow direction.
Download or read book Capillary Flows with Forming Interfaces written by Yulii D. Shikhmurzaev and published by CRC Press. This book was released on 2007-09-14 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Capillary Flows with Forming Interfaces explores numerous theoretical problems that arise in the mathematical description of capillary flows. It focuses on developing a unified approach to a variety of seemingly very different capillary flows of practical importance where classical fluid mechanics leads to nonphysical results. The book begin
Download or read book Computational Fluid Dynamic Flow Models of a Capillary Network written by Carl Edward Hippner and published by . This book was released on 2007 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quasi periodic Standing Wave Solutions of Gravity Capillary Water Waves written by Massimiliano Berti and published by American Mathematical Soc.. This book was released on 2020-04-03 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors prove the existence and the linear stability of small amplitude time quasi-periodic standing wave solutions (i.e. periodic and even in the space variable x) of a 2-dimensional ocean with infinite depth under the action of gravity and surface tension. Such an existence result is obtained for all the values of the surface tension belonging to a Borel set of asymptotically full Lebesgue measure.
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:
Download or read book Capillary Fluid Exchange written by Joshua Scallan and published by Morgan & Claypool Publishers. This book was released on 2010 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: The partition of fluid between the vascular and interstitial compartments is regulated by forces (hydrostatic and oncotic) operating across the microvascular walls and the surface areas of permeable structures comprising the endothelial barrier to fluid and solute exchange, as well as within the extracellular matrix and lymphatics. In addition to its role in the regulation of vascular volume, transcapillary fluid filtration also allows for continuous turnover of water bathing tissue cells, providing the medium for diffusional flux of oxygen and nutrients required for cellular metabolism and removal of metabolic byproducts. Transendothelial volume flow has also been shown to influence vascular smooth muscle tone in arterioles, hydraulic conductivity in capillaries, and neutrophil transmigration across postcapillary venules, while the flow of this filtrate through the interstitial spaces functions to modify the activities of parenchymal, resident tissue, and metastasizing tumor cells. Likewise, the flow of lymph, which is driven by capillary filtration, is important for the transport of immune and tumor cells, antigen delivery to lymph nodes, and for return of filtered fluid and extravasated proteins to the blood. Given this background, the aims of this treatise are to summarize our current understanding of the factors involved in the regulation of transcapillary fluid movement, how fluid movements across the endothelial barrier and through the interstitium and lymphatic vessels influence cell function and behavior, and the pathophysiology of edema formation. Table of Contents: Fluid Movement Across the Endothelial Barrier / The Interstitium / The Lymphatic Vasculature / Pathophysiology of Edema Formation
Download or read book The Flow of Air Through Capillary Tubes written by Isaiah March Rapp and published by . This book was released on 1913 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Capillary Flows in Heterogeneous and Random Porous Media written by Rachid Ababou and published by John Wiley & Sons. This book was released on 2018-11-28 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Capillary phenomena occur in both natural and human-made systems, from equilibria in the presence of solids (grains, walls, metal wires) to multiphase flows in heterogeneous and fractured porous media. This book, composed of two volumes, develops fluid mechanics approaches for two immiscible fluids (water/air or water/oil) in the presence of solids (tubes, joints, grains, porous media). Their hydrodynamics are typically dominated by capillarity and viscous dissipation. This first volume presents the basic concepts and investigates two-phase equilibria, before analyzing two-phase hydrodynamics in discrete and/or statistical systems (tubular pores, planar joints). It then studies flows in heterogeneous and stratified porous media, such as soils and rocks, based on Darcy’s law. This analysis includes unsaturated flow (Richards equation) and two-phase flow (Muskat equations). Overall, the two volumes contain basic physical concepts, theoretical analyses, field investigations and statistical and numerical approaches to capillary-driven equilibria and flows in heterogeneous systems
Download or read book Poromechanics II written by J.L. Auriault and published by CRC Press. This book was released on 2020-12-18 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings deal with the fundamentals and applications of poromechanics to geomechanics, material sciences, geophysics, acoustics and biomechanics. They discuss the state of the art in such topics as constitutive modelling and upscaling methods.
Download or read book Modeling of Fluid Flow in Capillary Channels written by Zhifeng Zhang and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Flow in capillary channels (capillary flow) occurs throughout nature, biology, and engineering. Recently, two types of capillary channels have been widely investigated: a narrow constricted capillary and a leaky capillary. Theoretical studies on these two types of capillary flow have become necessary due to their increasing significance in device miniaturization, drug delivery, microfluidics, pathology, and chemical engineering. This dissertation proposes three theoretical models in order to understand the physics of these two capillary flows and inspire future research. Part I discusses fluid mechanics in a narrow constricted capillary. This part is divided into two models. Model I proposes a new concept: minimum impulse critical velocity. This concept can be used in the optimization of a droplet transported through a narrow constricted capillary channel. Model 2 proposes an analytical model to predict the transient pressure of squeezing a viscous droplet through a narrow constricted channel. This model was developed using the combination of the Young- Laplace law and the HagenPoiseuille law. Part II discusses thermodynamics in a leaky capillary. Model 3 proposes a new evaluation parameter for a leaky capillary channel based on the virtual entropy generation (VEG) method. We believe the above theoretical studies will inspire future industry, engineering operation, and biological understandings.
Download or read book Fluid Flow in Model Capillary Structures written by Annapurna Prasad Yarlagadda and published by . This book was released on 1986 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Download or read book Hemodynamical Flows written by Giovanni P. Galdi and published by Springer Science & Business Media. This book was released on 2008-03-18 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys research results on the physical and mathematical modeling, as well as the numerical simulation of complex fluid and structural mechanical processes occurring in the human blood circulation system. Topics treated include continuum mechanical description; choice of suitable liquid and wall models; mathematical analysis of coupled models; numerical methods for flow simulation; parameter identification and model calibration; fluid-solid interaction; mathematical analysis of piping systems; particle transport in channels and pipes; artificial boundary conditions, and many more. The book was developed from lectures presented by the authors at the Oberwolfach Research Institute (MFO), in Oberwolfach-Walke, Germany, November, 2005.
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.
Download or read book Almost Global Solutions of Capillary Gravity Water Waves Equations on the Circle written by Massimiliano Berti and published by Springer. This book was released on 2018-11-02 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one space dimension, with periodic, even in space, small and smooth enough initial data, is almost globally defined in time on Sobolev spaces, provided the gravity-capillarity parameters are taken outside an exceptional subset of zero measure. In contrast to the many results known for these equations on the real line, with decaying Cauchy data, one cannot make use of dispersive properties of the linear flow. Instead, a normal forms-based procedure is used, eliminating those contributions to the Sobolev energy that are of lower degree of homogeneity in the solution. Since the water waves equations form a quasi-linear system, the usual normal forms approaches would face the well-known problem of losses of derivatives in the unbounded transformations. To overcome this, after a paralinearization of the capillary-gravity water waves equations, we perform several paradifferential reductions to obtain a diagonal system with constant coefficient symbols, up to smoothing remainders. Then we start with a normal form procedure where the small divisors are compensated by the previous paradifferential regularization. The reversible structure of the water waves equations, and the fact that we seek solutions even in space, guarantees a key cancellation which prevents the growth of the Sobolev norms of the solutions.
Download or read book Towards an improved theory of capillary flow written by Max Steven Willis and published by . This book was released on 1995 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt:
