First slide
Viscosity
Question

When a viscous liquid is flowing through a horizontal capillary tube. The flow is laminar, difference in pressure between the ends of the pipe is Δp and the discharge is found to be Q. When two such identical tubes are connected in series , what should be the difference in pressure between its ends if the discharge through it is 2Q?

Moderate
Solution

By poiseulle's equation Q=π.Δp.r48ηl and 2Q=π.Δp1.r48η2l

2QQ=ΔP12.ΔPΔP1=4ΔP

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