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Simulation of body motion in viscous incompressible fluid

Сибирский журнал вычислительной математики, 2019
The paper presents a description of a method for simulation of the motion of bodies in viscous incompressible fluid with the use of a technique of computation on overset grids (“chimera” technique). Equations describing the flow of viscous incompressible fluid are approximated by the finite volume method on an arbitrary unstructured grid.
Kozelkov, A. S.   +5 more
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Viscous Incompressible Fluids

2019
In this chapter we study the motion of a viscous incompressible fluid. In such a fluid the stress tensor is equal to the difference between the viscosity tensor and the unit tensor times pressure. When the viscosity tensor is zero this model reduces to the model of ideal incompressible fluid.
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Global Existence of Heat-Conductive Incompressible Viscous Fluids

Acta Applicandae Mathematicae, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Discontinuous Solutions in Heated Viscous Incompressible Fluids

Journal of Engineering Physics and Thermophysics, 2001
Equations for propagation of surfaces of strong discontinuities in a viscous incompressible heat‐conducting fluid are obtained.
M. D. Martynenko, S. M. Bosyakov
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Incompressible Viscous Fluid Flow

2014
The flow of incompressible and viscous fluid is considered in this chapter. The continuity condition and the equations of motion, the Navier-Stokes equations for the Newtonian fluid, are derived. The Stokes equation for the low Reynolds number flow is discussed and its associated functional expression is presented. The governing equations are then made
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Cylinder in viscous incompressible fluid flow

Fluid Dynamics, 1971
We present a technique for calculating the temperature field in the vicinity of a cylinder in a viscous incompressible fluid flow under given conditions for the heat flux or the cylinder surface temperature. The Navier-Stokes equations and the energy equation for the steady heat transfer regime form the basis of the calculations.
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Heat-Conducting Incompressible Viscous Fluids

1995
The motion of a heat-conducting incompressible viscous fluid is governed by the following set of equations (e.g., Serrin, 1959; Truesdell and Noll, 1965): $$ \begin{gathered} \nabla \cdot \upsilon = 0, \hfill \\ \rho \left( {{{\partial }_{t}}\upsilon + (\upsilon \cdot \nabla )\upsilon } \right) = - \nabla p + \nabla \cdot S + \rho b, \hfill \\ \rho
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Flows of Incompressible Viscous Fluids

2014
As it was shown in Sect. 3.2.5, the density variations in a fluid flow decrease with the square of the Mach number (the ratio of the fluid velocity to the sound speed). Hence, for many fluid flows, and especially for those of liquids, incompressibility is an excellent approximation. Moreover, it simplifies very much the equations of motion.
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Point vortex in a viscous incompressible fluid

Journal of Applied Mechanics and Technical Physics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Three-dimensional conical viscous incompressible fluid flows

Fluid Dynamics, 1998
New exact solutions of the Navier-Stokes equations are obtained for steady-state three-dimensional conical flows. In this class of flows the velocity decreases in inverse proportion to the distance from the source and the input equations reduce to two-dimensional ones.
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