60 C3805 Pages: 2

Reg No.: Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
THIRD SEMESTER B.TECH DEGREE EXAMINATION, APRIL 2018

Course Code: CE203
Course Name: FLUID MECHANICS - I (CE)
Max. Marks: 100 Duration: 3 Hours
PART A
Answer any two full questions, each carries 15 marks Marks
1 a) Define metacentre and Metacentric height. (5) 9) Calculate the pressure due to a column
of 0.4 m of (i) water, (ii) an oil of specific (5) gravity 0.9 and (iii) mercury of sp. gr. 13.6.
Take density of water as 1000kg/m’.
c) A circular plate 5 m diameter is immersed in water in such a way that its greatest (5) and least

depth below the free surface are 4 m and 1.5 m respectively. Determine the total pressure
on one face of the plate and position of centre of pressure.

2 9) Derive continuity equation in three-dimensions. (7) 0) A flujd flow is given by =-2--.
Prove that it is a (8) 2 4 2 उ

possible case of steady incompressible fluid flow. Calculate the velocity and acceleration
at the point (1,2,3).

3 2) Differentiate between piezometer and pressure gauges. (2)
b) In a 2D incompressible fluid flow, the fluid velocity components are given by
(13)
= - and = - - Show that velocity potential exists and determine its form. Find also

the stream function.

PART B
Answer any two full questions, each carries 15 marks
4 a) State Bernoulli’s theorem for a steady flow of an incompressible fluid. Derive an (10)
expression for Bernoulli’s theorem from the first principle and state the assumptions made for
such a derivation.
b) Describe with the help of sketch, the operation and use of Pitot-static tube. (5)
5 9) Define the following: (5)

i) Coefficient of discharge ii) Coefficient of velocity iii)
Coefficient of contraction iv) Vena-contracta
b) A rectangular orifice of 1.5 m wide and 1.2 m deep is fitted in one side of a large
(10)

tank. Thewater level on one side of the orifice is 2 m above the top edge of the

orifice, while on the other side of the orifice, the water level is 0.4 m below the

top edge. Calculate the discharge through the orifice if Ca = 0.62.

6 a) Find the discharge of water flowing through a pipe 20cm diameter placed in an (10)
inclined position, where a Venturi meter is inserted, having a throat diameter of

10 cm. the difference of pressure between the main and throat is measured by a

liquid of sp. gr. 0.4 in an inverted U-tube, which gives a reading of 30 cm. The