The figure illustrates the flow of an ideal fluid through a pipe of circular cro

Question

The figure illustrates the flow of an ideal fluid through a pipe of circular cross section, with diameters of 1cm and 2cm and with different elevations. Px is the pressure in the pipe, and Vx is the speed of the fluid at locations x = Q,R,S,T, or U.

image url: http://s21.postimg.org/evg0q7bh3/image.png

VU is .... VS
PR is .... PT
PS is .... PQ
VT is .... 0.5VU

The figure illustrates the flow of an ideal fluid through a pipe of circular cross section, with diameters of 1cm and 2cm and with different elevations. Px is the pressure in the pipe, and Vx is the speed of the fluid at locations x = Q,R,S,T, or U.

Explanation / Answer

1. sorry, neglected the effect of pressure before,

VU = VS

reason : AU*VU = AS*VS

=> VU = VS

2. PR < PT

reason : AT>AR

=> VT<VR

=> PR<PT

3. PS < PQ

reason : (PE)S > (PE)Q

=> PS < PQ

4. VT < 0.5VU

reason : AT*VT = AU*VU

=> pi*2^2*VT = pi*1^2*VU

=> 4VT = VU

so VT = 0.25VU

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