Define poiscuille's law with example
Answers
Answer:
The flow of fluids through an IV catheter can be described by Poiseuille's Law. It states that the flow (Q) of fluid is related to a number of factors: the viscosity (n) of the fluid, the pressure gradient across the tubing (P), and the length (L) and diameter(r) of the tubing.
Explanation:
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Answer:
Poiseuille equation, is a physical law that gives the pressure drop in an incompressible and Newtonian fluid in laminar flow flowing through a long cylindrical pipe of constant cross section. It is given by:
Q=
8μL
πr
4
(P
i
−P
o
)
Q= the flow rate (cm
3
/s or m
3
/s)
r= the radius of the tube (cm or m)
P
o
= the outlet fluid pressure (dynes/cm
2
or Pa)
P
i
= the inlet fluid pressure (dynes/cm
2
or Pa)
μ= the dynamic viscosity of the fluid (poise or Pa.s)
L= the length of the tube (cm or m)
Example: A flat roof of a building is constructed of precast concrete slabs of
width W=1.0m and depth L=0.1m, as shown in fig.. Through an
oversight, an end joint between two slabs was not sealed, leaving a crack of width h=1.0mm. When it rains, the crack fills with water which leaks into the interior of the building. Calculate the volume flow rate of rainwater through the crack assuming steady laminar viscous
(plane Poiseuille) flow with μ=1.13×10
−3
Pas.