- March 31, 2016
- CCST
Summary

CCST question
A fluid is flowing through a 10-inch diameter pipe at a velocity of 6 ft/sec. When the pipe reduces to an 8-inch diameter, and all other flowing parameters remain the same, the fluid velocity becomes ________ ft/sec.
A. 2.550
B. 6.075
C. 9.375
D. 12.75
CCST Answer
The correct answer is C, 9.375 ft/sec.
Flow in a pipe can be expressed as:
Q = A x V,
where
Q = volumetric flow rate, ft3/sec
A = pipe cross-sectional area, ft2
V = fluid velocity, ft/sec
The flow rate of the fluid through the 10-inch pipe (condition 1) is the same as the flow rate through the 8-inch pipe (condition 2), so:
Q1 = Q2
and since Q = A x V,
A1 x V1 = A2 x V2
Solving for V2:
V2 = A1 x V1 / A2 = [A1 / A2 ] x V1
Area is proportional to the square of the pipe diameter (A = Π x D2 / 4), so:
V2 = [(10 in)2 / (8 in)2] x 6 ft/sec
V2 = 9.375 ft/sec
Reference: Goettsche, L.D. (Editor), Maintenance of Instruments and Systems, Second Edition, ISA, 2005.
Reader Feedback
We want to hear from you! Please send us your comments and questions about this topic to InTechmagazine@isa.org.