An incompessible fluid moves through a pipe from left to right. The pipe narrows

Question

An incompessible fluid moves through a pipe from left to right. The pipe narrows from a diameter of 5 cm at point A to a diameter of 3 cm at point B (assume non-viscous laminar flow). Select less than, equal to, or greater than. A) The density of the fluid at A is ..... the density of the fluid at B. B)The amount of fluid that passes A in one second is ...... the amount of fluid that passes B in one second. C)The velocity of the fluid at A is ..... the velocity of the fluid at B. D)The pressure at A is ...... the pressure at B

Explanation / Answer

the density of the fluid is constant

so the answer for A) is equal to

the amount of fluid that passes through a point is dm/dt = rho*A*v = constant

rho is the density of fliud,which is a constant

A is the area of cross section of the pipe at that point

v is the speed of the fluid at that point

so the answer for B) is equal to

C) using equation of continuty

A1*v1 = A2*v2

larger is the area of cross section of the pipe,then slower is the speed of the fluid and vice versa

so the answer for C) is less than

D) by Bernoullies theorem

P +(0.5*rho*v^2) = constant

if V is smaller then pressure P is greater

so the answer for D) greater than

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