There is a fluid flowing in a pipeline. A situation arrives where we are required to reduce the pressure in the pipe to prevent it from bursting. It can be done by increasing the velocity of flow.

Q. There is a fluid flowing in a pipeline. A situation arrives where we are required to reduce the pressure in the pipe to prevent it from bursting. Which among the following is the best solution?

Q. By what factor will the flow rate of a viscous fluid through a pipe change, if the pipe radius is doubled, the fluid viscosity is doubled, the length is doubled and the pressure drop is reduced to a quarter of its previous value?

Q. Two reservoir maintain a constant difference of water levels of 11.25 m and are connected by a 10 cm diameter pipeline of 294.3 m length. The total of all head losses, by friction valve losses, bend losses, inlet and exit losses, and velocity head can be taken as $98.1v^2/2g$ (in m) where v is the flow velocity through the pipe (in m/sec). Assuming that the valve at the downstream end is suddenly opened so that there is no pressure wave, what will be the time taken for the velocity of flow in the pipe to attain 95% of the steady terminal velocity? Take
$\frac{1}{9.81}=0.102$.

Q. Assertion :An ideal fluid is flowing through a pipe. Speed of fluid particles is more at places where pressure is low. Reason: Bernoulli's theorem can be derived from work-energy theorem.