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Showing 1 to 17 of 17 for “"Creeping Flow"”.
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Initial Value Problems for Creeping Flow of Maxwell Fluids
We consider the flow of nonlinear Maxwell fluids in the unsteady quasistatic case, where the effect of inertia is neglected. We study the well-posedness of the resulting PDE initial-boundary value problem. This well-posedness depends on the unique solvability of an elliptic boundary value problem. …
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Mass transfer from spherical gas bubbles and liquid droplets moving through power-law fluids in the laminar flow regime
… power-law type continuous phase in to so-called creeping-flow region. The Nakano and Tien stream functions allow the Sherwood number to be determined as a function of the Peclet number, power-law index, and a viscosity ratio parameter. The Hirose and Moo-Young relation is shown to be a limiting …
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A Study of Spherical Bubbles in a Vertical Turbulent Boundary Layer
… The lift coefficient is much higher than creeping flow or inviscid theory and tends to decrease with increasing bubble Reynolds number.
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Numerical Analysis of Heat and Mass Transfer From Bubbles, Drops, and Rigid Spheres
… spheres; and to rigid and fluid spheres in shear flow is considered. The energy equation is solved using finite difference techniques. A method known as upwind differencing is used in approximating the convective terms. Far from the sphere, a 'transmitting' boundary condition is introduced; the …
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Optimal design and analysis for polymer extrusion and molding
… optimization. It is applicable to systems with creeping flow of purely viscous non-Newtonian fluids through thin cavities where the lubrication approximation can be applied. The Newton-Raphson iteration is used to solve the nonlinear equations for the pressure field which are formed via the …
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Velocity fluctuations in slow flow through porous media
… study the spatial statistical properties of slow flow through porous media on the pore scale by a combination of numerical simulation and theoretical arguments. I demonstrate that the flow patterns undergo a transition from swirls to strongly focused and channel-like patterns for decreasing …
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Viscoelastic Fluid Modeling for Geophysical Applications in an Eulerian Framework
… under the assumptions of incompressible, creeping flow. The resulting system of nonlinear partial differential equations resembles a Stokes-like formulation coupled to a Maxwell viscoelastic constitutive relation. Material objectivity is enforced through the Jaumann (Corotational) time …
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Strength envelopes for deforming oceanic lithosphere with some implications for the history of lithospheric deformation of the equatorial Indian Ocean
… supported by the lower lithosphere deforming by creeping flow at a reference strain rate of 10 -16 s -1 lies between limits of 3.5 and 12, which indicates that 78% to 92% of the strength of oceanic lithosphere lies in its brittle and semi-brittle portions. It follows that the onset of …
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Flow and stability studies in porous media based on some non-Darcian models.
This thesis deals with the study of certain flow and stability problems in porous media using some non-Darcian models. It is divided into three parts, which are essentially independent of each other. The first part deals with the theoretical study related with the solution of the Brinkman equation. …
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Dynamic Self-Assembly of Magnetic Colloidal Particles
… Reynold’s number where inertia can be neglected. Creeping flow magnetic systems can be characterized by the Mason number. The Mason number measures the ratio between the viscous and the magnetic torque and is the main parameter governing the behavior of paramagnetic colloids investigated in this …
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Verification of a Three-Dimensional Resin Film Infusion Process Simulation Model
… simulation model. The model incorporates resin flow through an anisotropic carbon fiber preform, cure kinetics of the resin, and heat transfer within the preform/tool assembly. The computer model can predict the flow front location, resin pressure distribution, and thermal profiles in the …
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Numerical Simulations in Electro-osmotic Flow
The developing flow field in a parallel plate microchannel, induced by wall motion, has been modeled numerically. This type of flow simulates the physical driving mechanism that exists in electro-osmotically generated flow with large channel diameter-to-Debye length ratios (Z). The physics of the …
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Transition between Flow Regimes in Porous Media Using Magnetic Resonance Velocimetry: From Laminar to Turbulent
… to investigate the transition between different flow regimes in porous media. The complete transition spectrum of single-phase flow, from creeping flow to inertial, unsteady laminar, and turbulent flow regimes, was examined in sphere packings. Further understanding of the fundamental fluid …
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A Spectral Element Method for Viscoelastic Fluid Flow
… technique for solving incompressible Newtonian flows and viscoelastic flows of non-Newtonian fluids. In the numerical simulation of the incompressible Newtonian fluid in two dimensions, the spectral element approximations of the Stokes and Navier-Stokes equations are established, based on the …
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The transient motion of a solid sphere between parallel walls
… terminal Reynolds number of 0.6 which represents creeping flow. The second solution was 80%wt glycerol yielding a terminal Reynolds number of 72. For each of these fluids, three wall spacings were examined giving wall spacing to sphere diameter ratios of h/d = 1.2, 1.5 and 6.0. Velocity field …
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Bacteria in shear flow
… always dynamic due to the prevalence of fluid flow: creeping flow in soil, highly sheared flow in bodily conduits, and turbulent flow in rivers, streams, lakes, and oceans, as well as anthropogenic habitats such as bioreactors, heat exchangers and water supply systems. The presence of flow not …
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Modeling of three-dimensional viscoelastic flows with free surfaces using a finite element method
… three-dimensional, isothermal, incompressible, creeping flow of a Giesekus fluid with free surfaces at infinite capillary number. The code is an extension of the parallel methods developed by Caola et al. from two- to three-dimensional flows, a restructured and improved version of the …