Card 18 / 41: Recall that the tank filling problem in Subunit 3.4 resulted in an ordinary differential equation dh/dt A = Q - fh, where h is the height of fluid in the tank, Q is the volumetric flow rate in, H is the height of the tank, A is the cross sectional area of the tank, and f is a parameter with units of length2/time. We may write this equation in a dimensionless form d η dτ = 1 - (fH/Q) η, where η= h/H. Which of the following definitions of τ is consistent with the dimensionless equation?
A)
tQ/AH
B)
fH/Q
C)
tf/AQ
D)
fAQ/t
Answer:
A) tQ/AH
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