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Showing 1 to 20 of 68 for “"Stokes flow"”.
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Inhomogeneous Stokes flow through porous media
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Chemical Engineering, 1995.
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Particle manipulation by hydrodynamic effects in vortical stokes flow
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-20 without embargo terms
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Generalized integral transforms related to the theory of potential and stokes flow
… interior and exterior of a Sphere and, (c) the Stokes' operator concerning the irrotational flow of an incompressible, viscous fluid. Moreover, the behaviour of the Gegenbauer functions of the first and second kind of general complex degree and order on the cut (-1, +1) are examined.
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Numerical Simulations of Stokes Flow by the Iterations of Boundary Conditions and Finite Difference Methods
… Finite difference numerical method to solve the Stokes problem over a rectangular domain as well as in irregular domain. The iteration of boundary conditions method has been applied to the Stokes problem in a rectangular domain, 2 <x< 2 , d 2 < y < d 2 , by the above mentioned researchers. …
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Topics in fluid mechanics : I. flow between finite rotating disks II. simulation of hydrodynamically interacting particles in stokes flow
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Chemical Engineering, 1986.
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IMPLEMENTATION OF A VERTICALLY INTEGRATED ICE SHEET MOMENTUM BALANCE MODEL
… (quadratic convergence rates) for non-Newtonian Stokes flow approximations, and to provide a clear and low-level discussion of its derivation, variation and discretization. The model utilizes the Finite Element Method to discretize variational forms of the first variation arising from the …
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IMPLEMENTATION OF A VERTICALLY INTEGRATED ICE SHEET MOMENTUM BALANCE MODEL
… (quadratic convergence rates) for non-Newtonian Stokes flow approximations, and to provide a clear and low-level discussion of its derivation, variation and discretization. The model utilizes the Finite Element Method to discretize variational forms of the first variation arising from the …
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Periodic cell models of flow through porous media
… problems are analyzed to study the microscopic flow within porous media. In Part 1, the primary focus is on the flow near the surface of a porous body. The idealized system consists of two-dimensional media of infinite and semi-infinite periodic lattices of cylindrical inclusions. The solution …
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The numerical solution of free surface problems for incompressible Newtonian fluids
… surface-tension-driven free-surface flows involving domains of arbitrary shape that may undergo large changes in shape during the course of a problem. Both Stokes and Navier-Stokes problems are considered, a mixed Lagrangian-Eulerian finite element formulation being employed for the …
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An investigation of the Oseen differential equations for the boundary layer
… for the problem of laminar boundary layer flow for the steady two-dimensional case of an incompressible, viscous fluid with the boundary conditions that the velocity at the surface is zero and outside the boundary layer is the free stream velocity. It first shores-up some of the theory on …
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Computational methods for two-phase flow with soluble surfactant
… model is formulated and solved for the two-phase flow of a viscous drop or inviscid bubble in an immiscible, viscous surrounding fluid in the zero Reynold's number or Stokes flow limit. A surfactant that is present on the interface is also soluble in the exterior fluid, and the drop is deformed by …
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Image-Based Modeling of Porous Media Using FEM and Lagrangian Particle Tracking
The study of fundamental flow and transport processes at the pore scale is essential to understanding how the mechanisms affect larger, field-scale, processes that occur in oil and gas recovery, groundwater flow, contaminant transport, and CO2 sequestration. Pore-scale imaging and modeling is one …
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Existence and Uniqueness of a solution to a flow problem about a Rotating Obstacle at low Reynolds number
The flow is described by the Navicr-Stokes equations in the domain n C R3. The open-bounded domain is assumed to have a cone property. The rotation of a 3- dimensional symmetrical impermeable cylindrical rigid body in the fluid is studied. The model is constructed in a manner that the equations …
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Numerical Simulation of UVA Ramjet/Scramjet Hypersonic Engine with Hydrogen-Air Combustion Using Wind-US
<p>The internal flowpath of University of Virginia's Mach 5, direct-connect, dual-mode scramjet engine was simulated using Wind-US, a density-based Reynolds-Averaged Navier-Stokes flow solver. Detailed flowfield simulation results are directly compared to experimental data to evaluate the accuracy …
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Lattice Boltzmann Study of the Interstitial Hydrodynamics and Dispersion in Steady Inertial Flows in Large Randomly Packed Beds
… packed beds in the inertial regime (post-Stokes flow) is undertaken starting from first principles. Long exponential tails are found in the histograms of both interstitial velocity components for low porosity packed beds, showing agreement with experimental results reported in the …
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Laboratory investigations of a chaotic flow using braid theory
Describing transport in fluid flows has been a long-standing challenge in dynamical systems theory, with applications to industrial and natural flows. The detection of Lagrangian structures that stay coherent over time helps gain insight into the evolution of a system's dynamics and the fate of …
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Investigation of Particle Velocity and Drag with Spherical and Non-Spherical Particles Through a Backward Facing Step
… a turbulent accelerating or decelerating gaseous flow. The large density variation between phases creates the potential for significant differences in velocity known as velocity slip. Flow over a backward facing step provides a well characterized, turbulent, decelerating flow useful for measuring …
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Inertial Effects on Particle Interactions in Viscous Flows (fluid-Solid, Low Reynolds Number)
… two equal spheres fixed in a viscous uniform flow are investigated. Using matched asymptotic expansions, assuming that both particles are within each other's inner domain and applying Stokes flow techniques the first inertial correction to the Stokes velocity and pressure fields and the …
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Modeling Flow-Induced Microstructure of Inhomogeneous Liquid-Liquid Mixtures
… in nature and industry. As these dispersions flow, the microstructure changes due to deformation and breakup processes at the microscale. The ability to predict this microstructural evolution has many applications, including controlling properties in polymer blends, predicting earthquake …
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Numerical Methods for Simulating Fluid Motion Driven By Immersed Interface
… major topics. The first topic is computing the Stokes flow driven by an open immersed interface. The other topic is the simulation of the Stokes and Navier-Stokes fluid through an elastic tube driven by an internal source and sink. </p><p> For the first topic, we developed two second-order …
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