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Hydrodynamics - Fluids in Motion

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Angge Lopez

on 21 November 2012

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Transcript of Hydrodynamics - Fluids in Motion

9.6 HYDRODYNAMICS - Fluids in motion Equation of Continuity Bernoulli's Principle Q = (m/t) It states that for an inviscid flow, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. Bernoulli's principle is named after the Swiss scientist Daniel Bernoulli who published his principle in his book Hydrodynamica in 1738. a branch of physics that deals with the motion of fluids and the forces acting on solid bodies immersed in fluids and in motion relative to them It is much faster and chaotic, and is the type usually encountered. A good example would be flow in a mountain stream. Laminar flow is usually associated with slow moving, viscous fluids. It is relatively rare in nature, although an example would be the flow of water through an aquifer. Groundwater velocities may be as little as a few meters per year. Since m = (density)(volume)

and Vpipe = (Area of pipe)(Length of the pipe) then

Q=pAl/t

if l/t=v

flow rate is expressed as Q=pAv Q1 = Q2

p1A1v1 = p2A2v2 Types of Fluid Flow Turbulent Streamline - The branch of science that deals with the dynamics of fluids, especially incompressible fluids, in motion.

The amount of fluid passing through a pipe may be expressed in terms of a quantity called flow rate (Q). Irregularity: Turbulent flows are always highly irregular. This is why turbulence problems are always treated statistically rather than deterministically. Turbulent flow is always chaotic but not all chaotic flows are turbulent.
Diffusivity: The readily available supply of energy in turbluent flows tends to accelerate the homogenization (mixing) of fluid mixtures. The characteristic which is responsible for the enhanced mixing and increased rates of mass, momentum and energy transports in a flow is called "diffusivity". p1=p2

The equation becomes

A1v1=A2v2
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