COMEDK2020PhysicsMechanical Properties of Fluids
A fluid is in streamline flow across a horizontal pipe of variable area of cross-section. For this which of the following statements is correct?
Options
- AVelocity of fluid is maximum at narrowest part.
- BPressure of the fluid is maximum at widest part.
- CBoth (a) and (b)
- DNeither (a) nor (b)
Correct answer
C. Both (a) and (b)
Step-by-step solution
According to the equation of continuity, A v= constant Therefore, velocity of the fluid is minimum at the widest part and maximum at the narrowest part of the horizontal pipe. Again, according to Bernoulli's principle for horizontal pipe, p+ 1 2 p v²= constant Hence, p is more, v is less and vice-versa. Therefore, when a fluid is flowing through the horizontal pipe of variable area of cross-section, then velocity is maximum at the narrowest part of the pipe and pressure is maximum at the widest part of the pipe.