# Transcribed Image Text: The time, t, it takes to pour a certain volume of liquid from a cylindrical container depends on

Excerpt
is possible, determine an equation relating the pouring time and viscosity for the cylinder and liquids used in these tests. If it is not possible, indicate what additional information is needed. H (Ns/m?) t (s) 11 15 17 23 39 53 61 83 107 145

Transcribed Image Text: The time, t, it takes to pour a certain volume of liquid from a cylindrical container
depends on several factors, including the viscosity of the liquid. Assume that for very
viscous liquids the time it takes to pour out 2/3 of the initial volume depends on the initial
liquid depth (7), the cylinder diameter (D), the liquid viscosity (i), and the liquid specific
weight (). The data shown in the following table were obtained in the laboratory. For
mm,
these tests, it is known that: 1= 45 mm, D= 67
y= 9.60 kN/m?.
and
(a) Perform a dimensional analysis and based on the data given, determine if variables
used for ts problem appear to be correct;
(b) If it is possible, determine an equation relating the pouring time and viscosity for the
cylinder and liquids used in these tests. If it is not possible, indicate what additional
information is needed.
H (Ns/m?)
t (s)
11
15
17
23
39
53
61
83
107
145