Liquid is flowing at the rate of V through the capillary tube of radius r and length l under pressure head P. If another tube of radius r/2 and length l/4 is connected in series with first tube, then find the rate of flow of liquid under the same pressure head.

Solution

Let η be the coefficient of viscosity of liquid.
The rate of flow of fluid through capillary tube of radius r and length l under pressure head P is given by,

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Now when another capillary tube is connected, let pressure across first tube decrease to P₁ and rate of flow of liquid be V'.
As the two tubes are in series, therefore

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The rate of flow has now become one-fifth of the original rate of flow.

Some More Questions From Mechanical Properties of Fluids Chapter

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Mechanical Properties Of Fluids

Liquid is flowing at the rate of V through the capillary tube of radius r and length l under pressure head P. If another tube of radius r/2 and length l/4 is connected in series with first tube, then find the rate of flow of liquid under the same pressure head.

Some More Questions From Mechanical Properties of Fluids Chapter

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