A fluid having a viscosity of 0.05 lbmas / ft ( s ) requires 30 seconds to drain through a capi

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A fluid having a viscosity of 0.05 lbmas / ft ( s )...

A fluid having a viscosity of $0.05 \mathrm{lb}_{\text {mas }} / \mathrm{ft}$ ( $\mathrm{s}$ ) requires 30 seconds to drain through a capillary viscometer. If this same viscometer is used to determine the viscosity of another fluid and it takes 20 seconds to drain, calculate the viscosity of this fluid. Assume the fluids have the same densities.

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Key Concepts

Viscosity

Viscosity is a measure of a fluid's resistance to flow and deformation. It quantifies the internal friction between layers of a fluid as they move relative to one another. In fluids with higher viscosity, momentum is transferred through layers more slowly, resulting in a greater resistance to flow.

Capillary Viscometry

Capillary viscometry is a technique used to measure the viscosity of a fluid by observing the time it takes for a set volume to flow through a narrow tube or capillary. The method relies on the principle that, under constant conditions such as density and tube geometry, the flow time is directly related to the fluid's viscosity.

Proportional Relationship Between Flow Time and Viscosity

When using a capillary viscometer, the drainage time is directly proportional to the viscosity of the fluid if all other factors remain constant. This proportionality allows for comparative measurements where, if the capillary and fluid density are unchanged, changes in drainage time indicate corresponding proportional changes in viscosity.

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