(b) Poiseuille's formula for the volume of liquid V flowing in time t through a uniform capillary laminar conditions is of radius r under Rr'p where p/l is the pressure gradient along the tube. (1) Show that this equation is dimen- sionally consistent. (li) Describe how you would apply the. equation to measure for water at room temperature. (iii) Laminar conditions should obtain provided that the value of < 1150. where p is the density of the liquid. Taking to be 1.2 x 10 Pas (Nsm ) and p to be 1000 kg m for water, estimate the greatest head of water under which laminar flow should hold for a capillary of length 0.2 m and radius 0.7 mm
(b) Poiseuille's formula for the volume of liquid V flowing in time t through a uniform capillary laminar conditions is of radius r under Rr'p where p/l is the pressure gradient along the tube. (1) Show that this equation is dimen- sionally consistent. (li) Describe how you would apply the. equation to measure for water at room temperature. (iii) Laminar conditions should obtain provided that the value of < 1150. where p is the density of the liquid. Taking to be 1.2 x 10 Pas (Nsm ) and p to be 1000 kg m for water, estimate the greatest head of water under which laminar flow should hold for a capillary of length 0.2 m and radius 0.7 mm
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Transcribed Image Text:(b) Poiseuille's formula for the volume of
liquid V flowing in time t through a
uniform capillary of radius r under
laminar conditions is
V
ar'p
where p/l is the pressure gradient along
the tube.
(i) Show that this equation is dimen-
sionally consistent.
(ii) Describe how you would apply the.
equation to measure y for water at
room temperature.
(iii) Laminar conditions should obtain
provided that the value of
< 1150.
where p is the density of the liquid.
Taking # to be 1.2 x 10 Pas
(Nsm ) and p to be 1000 kg m
for water, estimate the greatest head
of water under which laminar flow
should hold for a capillary of length
0.2 m and radius 0.7 mm.
(0)
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