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(B) The nature of liquid flow is determined by the Reynolds number,denoted by $N_R$. The formula for the Reynolds number is $N_R = \frac{\rho v D}{\et

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Liquid of high viscosity and low density flowing through a pipe of small radius

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(B) The nature of liquid flow is determined by the Reynolds number,denoted by $N_R$. The formula for the Reynolds number is $N_R = \frac{\rho v D}{\eta}$,where $\rho$ is the density of the liquid,$v$ is the velocity,$D$ is the diameter (or radius $r$) of the pipe,and $\eta$ is the coefficient of viscosity.For the flow to be most streamlined,the Reynolds number $N_R$ must be as small as possible.From the relation $N_R \propto \frac{r \rho}{\eta}$,we can see that to minimize $N_R$,the radius $r$ and density $\rho$ should be small,while the viscosity $\eta$ should be high.Therefore,a liquid of high viscosity and low density flowing through a pipe of small radius will result in the most streamlined flow.

In which one of the following cases will the liquid flow in a pipe be most streamlined?

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