On the slow steady motion of a circular cylinder in a viscous fluid
R. Finn (1965)
Annales Polonici Mathematici
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Displaying similar documents to “On the application of successive approximations to motion started impulsively from rest in compressible media.”
On the slow steady motion of a circular cylinder in a viscous fluid
Motion of sphere in a stratified fluid
L. V. K. V. Sarma, D. V. Krishna (1972)
Applicationes Mathematicae
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Microscopic Modelling of Active Bacterial Suspensions
A. Decoene, S. Martin, B. Maury (2011)
Mathematical Modelling of Natural Phenomena
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We present two-dimensional simulations of chemotactic self-propelled bacteria swimming in a viscous fluid. Self-propulsion is modelled by a couple of forces of same intensity and opposite direction applied on the rigid bacterial body and on an associated region in the fluid representing the flagellar bundle. The method for solving the fluid flow and the motion of the bacteria is based on a variational formulation written on the whole domain, ...
On the motion of rigid bodies in a compressible viscous fluid under the action of gravitational forces
Ducomet, Bernard, Nečasová, Šárka
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The global existence of weak solution is proved for the problem of the motion of several rigid bodies in a barotropic compressible fluid, under the influence of gravitational forces.
On finite element approximation of fluid structure interaction by Taylor-Hood and Scott-Vogelius elements
Vacek, Karel, Sváček, Petr
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This paper focuses on mathematical modeling and finite element simulation of fluid-structure interaction problems. A simplified problem of two-dimensional incompressible fluid flow interacting with a rigid structure, whose motion is described with one degree of freedom, is considered. The problem is mathematically described and numerically approximated using the finite element method. Two possibilities, namely Taylor-Hood and Scott-Vogelius elements are presented and implemented. Finally,...
Thermo-viscous fluid flow in porous slab bounded between two impermeable parallel plates in relative motion: Four stage algorithm approach
Nalimela Pothanna, Podila Aparna, M. Pavankumar Reddy, R. Archana Reddy, M. Clement Joe Anand (2024)
Applications of Mathematics
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The problem of an approximate solution of thermo-viscous fluid flow in a porous slab bounded between two impermeable parallel plates in relative motion is examined in this paper. The two plates are kept at two different temperatures and the flow is generated by a constant pressure gradient together with the motion of one of the plates relative to the other. The velocity and temperature distributions have been obtained by a four-stage algorithm approach. It is worth mentioning that reverse...
Magnetohydrodynamic flow due to noncoaxial rotations of a porous disk and a fourth-grade fluid at infinity.
Hayat, Tasawar, Wang, Yongqi (2003)
Mathematical Problems in Engineering
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1D dynamics of a second-grade viscous fluid in a constricted tube
Fernando Carapau, Adélia Sequeira (2008)
Banach Center Publications
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Using a one-dimensional hierarchical model based on the Cosserat theory approach to fluid dynamics we can reduce the full 3D system of equations for the axisymmetric unsteady motion of a non-Newtonian incompressible second-grade viscous fluid to a system of equations depending on time and on a single spatial variable. From this new system we obtain the steady relationship between average pressure gradient and volume flow rate over a finite section of a straight constricted tube, and...