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Some separated Stokes flows

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1984
Stokes flow separation past a spherical cap or a circular disc is studied for the axisymmetric case by means of flows generated by the following singularities: A Stokeslet, a Stokeslet dipole, a source and a dipole. We find that the flow separates at the rim of the cap or disc and when the singularity is far, the flow field is qualitatively similar for
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Stokes Flow Around a Rolling Cylinder

ASME 2010 8th International Conference on Nanochannels, Microchannels, and Minichannels: Parts A and B, 2010
Micropumps are a necessary device for microfluidics. Many solutions are possible and technical devices are numerous. In this paper, we have developed an analytical solution for the peristaltic technique in microchannels that enlighten some physical limitations.
Merlen, A., Frankiewicz, C.
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Navier—stokes computations of hypersonic flows

International Journal of Numerical Methods for Heat & Fluid Flow, 1995
The current interest in hypersonic flows is leading to significant effort both to develop CFD methods and also to provide experimental data for their evaluation. In our research we attempt to integrateCFD and experiments as closely as possible so much so that most of our experimental model designs are based upon preliminary flow field computations in ...
Hillier, R., Kirk, D., Soltani, S.
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Asymmetric Channel Divider in Stokes Flow

SIAM Journal on Applied Mathematics, 2008
This article examines the classic problem of Stokes flow into a divided channel with, in contrast to previous literature, the divider barrier asymmetrically placed with respect to the moving, parallel channel walls. The boundary value problem is reduced to a Wiener-Hopf equation that is of matrix form and of a class for which no exact solution is known.
Abrahamst, I. David   +2 more
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Oscillatory stokes flow in two dimensions

Mechanics Research Communications, 1994
Plane oscillatory Stokes flow has been discussed using circular harmonics. The solutions for (i) longitudinal oscillations of a circular cylinder in an unbounded flow, and (ii) oscillational shear flow past a circular cylinder have been obtained. The stream function in (i) can be interpreted as a combination of Stokeslet and potential doublet, and in ...
Avudainayagam, A., Geetha, J.
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Comparison between Newtonian fluid flow, Stokes flow and Stokes-Oseen flow

International Journal of Multidisciplinary Research and Growth Evaluation
Viscosity is an intrinsic property of fluids. It originates in the thermal interactions of molecular collisions. There are two types of it: kinematic viscosity and dynamic viscosity. In this work, we try to model the flow of viscous fluid in three cases: Newtonian fluid flow, Stokes flow and the Stokes-Oseen flow.
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Drag minimization for Navier–Stokes Flow

Numerical Methods for Partial Differential Equations, 2008
AbstractThis paper investigates the drag minimization in a two‐dimensional flow which is governed by a nonhomogeneous Navier–Stokes equations. Two approaches are utilized to derive shape gradient of the cost functional. The first one is to use the shape derivative of the fluid state and its associated adjoint state; the second one is to utilize the ...
Gao, Zhiming   +2 more
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Stokes Flow about a Rotating Vane

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1994
The author has discussed analytical solutions for flow about a rotating vane, an elliptic cylinder, and the flow in the annular region between two elliptic cylinders using the Stokes approximation and conformal mapping.
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Stokes Flow Within Networks of Flow Branches

Journal of Fluids Engineering, 2018
Stokes flow in the branches of structured looped networks with successive identical square loops and T-junction branches is studied. Analytical expressions of the flow rate in the branches are determined for network of one, two, three, or four loops with junction head loss neglected relative to regular one.
Hellou, Mustapha, Lominé, Franck
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Navier-stokes flow on riemannian manifolds

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author considers an approach to weak solutions of the Navier-Stokes equation on a Riemannian manifold. The approach relies on an approximation of the solution by solutions of time-discretized equations, which are obtained as the minimizer of the corresponding variational problem. The manifold is assumed to be oriented, two- or three-dimensional and
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