Question

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.

For each of these, state what you believe is the basic/fundamental meaning (what does it mean in its most elementary way) and then give an example for each one that does not appear in the text.

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

Answer 1

These all rules mentioned in the above text is valid for incompressible fluids. I will explain one by one. i am not going to write the expression i will explain ony physical meaning.

1) CONTINUTY EQUATION:- continuty equation just tells about the conservation of mass. u can think of 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 =A2V2

velocity may be different in both ends.hence product of cross sectional area and velocity always remain constent which is mass.

2) BERNOULLI PRINCIPAL:- this principal is simpaly tells about the conservation of energy in the fluid system. since the also have varrious kind of energy like potential energy deu to gravity and kinetic energy deu to velocity. when u devide this equation by density and gravity this converted into pressure equation. the example of this principal u can think of the wings of aeroplane. deu to preesure gradient planes are able to fly.

3)Poiseuilli,s theorem:~ in non ideal fluid dynamics this is a physical law that gives the pressure drop in incompressible and newtonian fluid in laminar flow flowing through a long cylindrical pipe. example u can think of fluid flowing through needle.

thanks