The viscosity of a fluid plays a very important role in determining how a fluid flows. (See Video V1.3.) The value of the viscosity depends not only on the specific fluid but also on the fluid temperature. Some experiments show that when a liquid, under the action of a constant driving pressure, is forced with a low velocity, \(V\), through a small horizontal tube, the velocity is given by the equation \(V=K / \mu\). In this equation \(K\) is a constant for a given tube and pressure, and \(\mu\) is the dynamic viscosity. For a particular liquid of interest, the viscosity is given by Andrade's equation (Eq. 1.11) with \(D=5 \times 10^{-7} \mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}^{2}\) and \(B=4000^{\circ} \mathrm{R}\). By what percentage will the velocity increase as the liquid temperature is increased from \(40^{\circ} \mathrm{F}\) to \(100^{\circ} \mathrm{F}\) ? Assume all other factors remain constant.

Eq. 1.11

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= DeB/T