Question

In: Physics

In our review of fluids this week, particularly of fluids in motion, we have come across...

In our review of fluids this week, particularly of fluids in motion, we have come across 3 important rules that govern that motion: the continuity equation, Bernoulli's principle, and Poiseuille's principle.

Please give an example for each one. Also, can you find/see the importance of these rules, fluid motion in general, in your field of study?

Please no handwritten or picture responses - only typed replies

Solutions

Expert Solution

1. Continuity Equation: It tells about the consevation of mass. For example, a pvc pipe(different mouth size in both ends) in which water is flowing then mass flow per second in one end is equal to the mass flow of other end. A1*V1=A2*V2. Velocity may be different in both ends. Hence product of cross-sectional area and velocity remains constant, which is mass.

2. Bernoulli Principle: It tells about conservation of energy in the fluid system. Various kinds of energy like Pottential energy due to gravity and Kinetic enegy due to velocity. When this equation is divided by density and gravity, it is converted to pressure equation. The example of this principle is wings of an aeroplane, due to pressure gradient, planes are able to fly.

3. Poiseuille's Theorem: In non-ideal fluid dynamics, this is a physical law that gives the pressure drop in incompressible and newtanian fluid in laminar flow flowing trough a long cylindrical pipe. For example fluid flowing through needle.

The above rles are valid for incompressible fluids.


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