The figure illustrates flow through a pipe with diameters of 1.0 mm and 2.0 mm a
ID: 1461204 • Letter: T
Question
The figure illustrates flow through a pipe with diameters of 1.0 mm and 2.0 mm and with different elevations. Px is the pressure in the pipe, and Vx is the speed of a non-viscous incompressible fluid at locations x = Q,R,S,T, or U.
Greater than Less than Equal to PS is ... PT.
Greater than Less than Equal to VT is ... VU
Greater than Less than Equal to PT is ... PU
Greater than Less than Equal to PT is ... PQ
Greater than Less than Equal to VS is ... VR
Greater than Less than Equal to VQ is ... 0.5VS
Explanation / Answer
PS is ... PT.
VT is ... VU
PT is ... PU
PT is ... PQ
VS is ... VR
VQ is ... 0.5VS
PS is greater than PT [Pr is under more pressure due to weight of the fluid (lower elevation)]
VS is < 0.5VQ [the velocity of VS is 0.25VQ (diameter doubles, cross-sectional area goes up by 4x)]
PT is equal PU [no change in pipe size, mass flow conserved,therefor no change in velocity]
PT is < PQ . [PQ is at a lower velocity, therefore the kinetic energy loss as the velocity decreases is turned into pressure]
VT is = VU [same diameter, same mass flow, therefore same V (A1V1=A2V2)]
VS is > VR [VR is at a lower elevation, more pressure due to gravity]