The figure illustrates flow through a pipe with diameters of 1.0 mm and 2.0 mm a
ID: 1907533 • 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.
less than, greater than, equal to
PTis ... PS
Greater thanLess thanEqual toVTis ... VS
Greater thanLess thanEqual toVQis ... VU
Greater thanLess thanEqual toPSis ... PU.
Greater thanLess thanEqual toPRis ... PS
Greater thanLess thanEqual toVUis ... 2VR
Explanation / Answer
Pt is less than Ps. (since area is unchanged and T is higher than S.)
Vt = Vs (since area is unchanged)
Vq = Vu (since area is unchanged.)
Ps is greater than Pu. (since height is same for both, dia is lower u which means velocity is more at u which means pressure is less at u.)
Pr is less than Ps. (since dia is same and r is at more height hence lesser pressure.)
Vu is greater than 2Vr. (Since since is double, hence velcoity will be 2^2 = 4 times.)