10.

11.

12.

13.

14.

B3C077S Pages: 2

shows a reading of 15cm. Calculate the discharge of oil through the horizontal

venturimeter. Take (५ = 0.98 (4)

(a) What are minor losses? (4)
(0) Derive Darcy- Weisbach equation. (6)
(a) Define hydraulic gradient line and total energy line. (4)

(b) A crude oil of viscosity 0.97 poise and relative density 0.9 is flowing through a
horizontal circular pipe of diameter 100mm and of length 15m. Calculate the difference
of pressure at the two ends of the pipe, if 100kg of oil is collected in a tank
in 25 seconds. (6)
PART ^
Answer any four questions.

Obtain Von-Karman momentum integral equation. (10)
For the velocity profile in laminar boundary layer is given as w/U = 3/2(y/8)-1/2(y/8)°
where u = velocity in boundary layer at a distance y, U = Free stream velocity and 6 =
Boundary layer thickness.
Find the thickness of the boundary layer and shear stress 1.8m from the leading edge of
a plate. The plate is 2.5m long and 1.5m wide and is placed in water and which is
moving with a velocity of 12cm/s. Find the drag on one side of the plate. Viscosity of
water = 0.01 poise. (10)
The resistance R to the motion of completely submerged body depends upon the length
of the body L, velocity of flow V, mass density of fluid p and kinematic viscosity of
fluid v. By dimensional analysis prove that R= ‏م‎ ۷۵۲۶۵ ®(VL/). (10)
(a) Define boundary layer thickness and momentum thickness. (4)
(b) State Buckingham’s 7 theorem. How are the repeating variables selected in
dimensional analysis? (6)
Define the following:

(i) Froude number

(ii) Reynolds number

(iii) = Weber number

(iv) | Cauchy number

(५) Euler number (10)
The velocity distribution in a laminar boundary layer is given by

u/Ua= 3/2(y/8) - 1/2(y/8)* . Calculate the displacement thickness and

momentum thickness. (10)

Page 2 of 2