This document contains an assignment with 5 questions regarding fluid mechanics. Question 1 asks to calculate the differential height of a mercury manometer attached to two pipe sections with different diameters. Question 2 asks to calculate the flow rate using information from a Venturi meter. Question 3 asks to calculate the flowrate between two horizontal pipes with different diameters and pressures. Question 4 asks to calculate the discharge rate using information from a venturi meter with a manometer. Question 5 asks to calculate the velocity and discharge of water flowing in a pipe using the height of water in a pitot tube.

1. MET212- Fluid Mechanics & Machines
st
1 Semester, December 2011
ASSIGNMENT # 3
10
Name…… ……… ……… …… ………… I.D No.…….… ………
Due date … … … Section …………
Q.3.1
Water flows through a horizontal pipe at a rate of 1 gal/s. The pipe consists of two
sections (1&2) of diameters 4 inches and 2 inches with a smooth reducing section. The
pressure difference between the two pipe sections is measured by a mercury
manometer. Neglecting frictional effects, calculate the differential height of mercury
manometer attached to the two pipe sections.
Dr. Adel Afify MET 212 1

2. Q.3.2
The water flow rate in a pipe is determined by use of the Venturi meter shown in
Figure. Using the information given in the figure (pipe and throat diameter are
respectively 10 cm and 6 cm) and h= 4cm, calculate the flow rate assuming uniform
flow and no losses. Expressed results in US gal/min (gpm), ρ water=1000kg/m3.
2

3. Q.3.3
Gasoline flows from a 0.3 m diameter pipe in which the pressure is 300 kPa into a
0.15 m diameter pipe in which the pressure is 120 kPa. If the pipes are horizontal
and the viscous effects are negligible, determine the flowrate of the pipe. ( γ gasoline=
6.67x103 N/m3 and g = 9.81 m/s2).
Pipe (0.3 m dia)
3

4. Q.3.4
A venturi meter with a 150 mm at inlet and 100 mm diameter at throat is laid with its
axis horizontal and is used for measuring the flow of oil SG 0.91. The oil and
mercury differential manometer shows a head difference of 200 mm. Assume
coefficient of discharge of the meter as 0.98. Calculate the discharge rate in liters
per minute. ( γ water= 103 x 9.81N/m3 and g = 9.81 m/s2).
4

5. Q.3.5
A pitot tube is inserted in a pipe of diameter is 24mm to measure the velocity of
water flowing on it. If the water rises the tube is 200mm find the velocity of water
flow and discharge in literes/s.
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