(a) A U-tube differential manometer connects two pressure pipe A & B.…

Question

(a) A U-tube differential manometer connects two pressure pipe A & B. Pipe A contains carbon tetrachloride have G = 1.6 under a pressure of $1.2\text{ kgf/cm}^2$ and pipe B contains oil of G = 0.8 under a pressure of $2\text{ kgf/cm}^2$. The pipe A lies $2.5\text{ m}$ above pipe B and the mercury level in the limb communicating with pipe A lies $4\text{ m}$ below the pipe A. Find the difference in the levels of mercury in the two limbs.

(b) Define the following:

(a) Vorticity

(b) Velocity potential function

(c) Capillarity

(d) Stream function

(e) Stream line

(f) Streak line