## Applied Hydraulics - 2 - Dec 2014

### Civil Engineering (Semester 6)

TOTAL MARKS: 80

TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.

(2) Attempt any **three** from the remaining questions.

(3) Assume data if required.

(4) Figures to the right indicate full marks.
**1 (a)** Explain terminal velocity of a body with example.(5 marks)
**1 (b)** Explain Boundary Layer separation.(5 marks)
**1 (c)** Differentiate between uniform & non uniform flow, steady & unsteady flow.(5 marks)
**1 (d)** Derive the condition for maximum discharge for a given value of specific energy.(5 marks)
**2 (a)** A sewer is to be laid a slope of 1 in 8100 to carry a maximum discharge of 600 liters/sec, when depth of water is 75% of the vertical diameter. Find the diameter of the pipe. Take Manning N is 0.025.(10 marks)
**2 (b)** Derive the condition for most economical trapezoidal channel including best side slope.(10 marks)
**3 (a)** What is drag? What causes it? Why do we usually try to minimize it.(10 marks)
**3 (b)** Classify the surface profiles in gradually varied flow with neat sketches.(10 marks)
**4 (a)** Derive the Von-Karman momentum integral equation for boundary layer flows.(10 marks)
**4 (b)** Find the displacement thickness, the momentum thickness and energy thickness for the velocity distribution in the boundary layer given by

u/U=2(y/δ)-(y/δ)^{2}(10 marks)
**5 (a)** Determine the length of the back water curve caused by an afflux of 2.0 meter in a rectangular channel of width 40 meter and depth 2.5 meter. The slope of the bed is given as 1 in 11000. Take Manning's N=0.03.(10 marks)
**5 (b)** A kite 0.8 m × 0.8 m weighing 4.0 N assumes an angle of 12° to the horizontal. The string attached to the kite makes an angle of 45° to the horizontal. The pull on the string is 25N, when the wind is flowing at a speed of 30 km/hr. Find the corresponding co-efficient of drag and lift. Density of air is given as 1.25kg/m^{3}.(10 marks)
**6 (a)** Compare kennedy's and Lacey's slit theories. Why Lacey's conception superior to that of Kennedy's.(10 marks)
**6 (b)** Design an irrigation canal to carry a discharge of 14 cumes. Assume N=0.0225, m=1 and B/D=5.7.(10 marks)
**7 (a)** Derive the expression for loss of energy due to Hydraulic jump.(10 marks)
**7 (b)** Write a short note on

i) Specific Energy and specific curve.

ii) Development of lift on a Airfoil.(10 marks)