a capillary tube is attached horizontally to a constant head arrangement if the radius of the cappilary tube is increased by 10percent then the rate of flow of liquid will change nearly
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Explanation:
A constant pressure head cannot be maintained in a horizontal tube unless we consider viscosity of the fluid.
Poiseuille's equation can be stated also as ΔP=
πr
4
8μLQ
where:
Δ P is the pressure loss;
L is the length of pipe
μ is the dynamic viscosity
Q is the volumetric flow rate
r is the radius
Δ P , μ, L remain constant so Q∝ R
4
⟹Q=KR
4
R
′
=R+0.1R=1.1R
Q
′
=K(1.1R)
4
Q
Q
′
−Q
=
R
4
(1.1R)
4
−R
4
=0.4641
Percentage increase in the rate of flow of the liquid} =46.41%
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