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SIMULATION OF FLUID FLOW WITH INTERACTING PARTICLES
SIMULATION OF FLUID FLOW WITH INTERACTING PARTICLES

... The third assumption accounts for local change of fluid density. Navier-Stokes equations are introduced for incompressible flows, however locally, whenever a particle appears, the density in this very element decreases, due to the fluid volume displaced by the particle. Such a change of density can ...
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... The fundamental theorem regarding the motion of fluids is due to Daniel Bernoulli (1700-1782), a Swiss physicist and mathematician. Bernoulli's theorem is essentially a formulation of the mechanical concept that the work done on a body is equal to the change in its mechanical energy, in the case tha ...
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... If the Reynolds number is low, then viscosity plays a significant role, and the fluid will exhibit laminar flow, but Bernoulli’s equation will not be satisfied. In this case we can use a different formula to relate the flow rate to the pressure difference. This is Poiseuille’s equation. ...
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Momentum (Newton`s 2nd Law of Motion)

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... In this work, the fluid flow and mass transfer due to the presence of an electric field in a rectangular channel is examined. We consider a mixture of water or another neutral solvent and a salt compound, such as sodium chloride, for which the ionic species are entirely dissociated. Results are prod ...
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... The inverse Λ−1 appears in the argument because we are dealing with an active transformation in which the field is truly shifted, while the coordinates are still (see Figure 1). To see why this means that the inverse appears, it will suffice to consider a non-relativistic example such as a temperatu ...
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Navier–Stokes equations

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