Assignment-1 Fluid Properties & Pressure Mesurement 2021

Civil Engineering, SoE, ITNU 2CL 402 Fluid Mechanics
Department of Civil Engineering, School of Engineering,

Institute of Technology, Nirma University
2CL402 Fluid Mechanics
B. Tech. Semester-IV, 2021
Assignment-1: Fluid Properties and Pressure Measurements
1. Calculate the capillary effect in mm in a glass tube of 4 mm diameter,
when immersed in i) water and ii) mercury. The temperature of liquid at
20° C and value of surface tension of water and mercury at same
temperature in contact with air are 0.073575 N/m and 0.51 N/m
respectively. The angle of contact for water is zero and mercury is 130
degrees.
2. A plate 0.025 mm distant from a fixed plate, moves at 50 cm/s and
requires a force of 1.471 N/m2 to maintain this speed. Determine the fluid
viscosity between the plate in the poise.
3. Two plates are placed at a distance of 0.15 mm apart. The lower plate is
fixed while the upper plate having surface area 1.0 m2 is pulled at 0.3
m/s. Find the force and power required to maintain this speed. If the fluid
separating them having viscosity 1.5 poise
4. When the force P is applied to the plate, the velocity profile for a Newtonian
fluid that is confined under the plate is approximated by u = (12y1/4)
mm/s, where y is in mm. determine the minimum shear stress within the
fluid. Take μ = 0.5 x 10^-3 N.s/m2, ymax in mm, velocity of the plate =
24mm/s.
Group 1 2 3 4 5
Ymax 16 20 22 14 25
5. Water in glass tube is at a temperature of 40 C. Plot the height h of the

water as a function of the tubes inner diameter D for 0.5mm ≤ D ≤ 3 mm.
Use increments of 0.5mm. Take σ = 69.6mN/m.
6. Determine the intensity of shear of an oil having viscosity =1.2 poise and
is used for lubrication in the clearance between a 10 cm diameter shaft
and its journal bearing. The clearance is 1.0 mm and shaft rotates at 200
r.p.m
Assignment-1: Fluid properties and Pressure measurements Page 1 of 3
DUE DATE OF SUBMISSION :- 14/02/2021

7. The marine water strider. Halo bates, has a mass of m. If it has six slender
legs, determine the minimum contact length of all of its legs combined to
support itself in water having a temperature of T = 20 C. Take σ = 72.7
mN/m, and assume the legs are thin cylinders that are water repellent.
Group 1 2 3 4 5
Mass m 0.36g 0.48g 0.30g 0.67g 0.85g
8. A U-tube having a 5mm x 5mm square c/s filled with mercury up to a

height of 20cm in each limb (open to the atmosphere). If 5 cm3 of water is
added to the right limb, what will be the new height of mercury in the left
limb.
9. The standard atmospheric pressure is 101.32 kPa. The local atmospheric
pressure is 91.2 kPa. If a pressure at a flow path is recorded at 22.48 kPa
(gauge), it is equivalent to how much pressure (abs).
10. The container is partially filled with oil, water and air as shown in Figure1.
Determine the pressure at A, B, and C. Take ρo 830 kg/m3.
11. A jet of water has a diameter of 0.3 cm. the absolute surface tension of
water is 0.072N/m and atmospheric pressure is 101.2kN/m2. What will
be the absolute pressure within the jet of water.
12. The tube is filled with mercury from A to B, and with water from B to C as
shown in Figure2. determine the height h of the water column for
equilibrium.
13. Two tanks A and B are connected to each other with the help of a
manometer as shown in Figure3. If waste oil is poured into tank A to a
depth of h=0.8m, determine the pressure of the entrapped air in tank B.
Air is also trapped in line CD as shown. Take ρo = 900kg/m3.
14. A glass tube of 2.5mm internal diameter is immersed in oil of mass density
940 kg/m3 to a depth of 9 mm. if a pressure of 148 N/m2 is needed to
form a bubble which is just released, what is the surface tension of oil?
15. The diameter of small piston and large piston of hydraulic jack are 2 cm
and 10 cm respectively. A force of 60 N is applied on small piston. Find the

load lifted by large piston, when: (a) the piston are at same level and (b)
small piston is 20 cm above the large piston. The density of liquid in piston
given as 1000 kg /m2.
16. A differential manometer is connected at the two points A and B as shown
in Figure4 below at B air pressure is p N/cm2 (abs.), find the absolute
pressure at point A.
Group 1 2 3 4 5
P in N/cm2 7.85 8.34 9.41 10.22 5.43
Figure 1 Figure 2
Figure 3 Figure 4

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Civil Engineering, SoE, ITNU 2CL 402 Fluid Mechanics

Department of Civil Engineering, School of Engineering,

5. Water in glass tube is at a temperature of 40 C. Plot the height h of the

DUE DATE OF SUBMISSION :- 14/02/2021

8. A U-tube having a 5mm x 5mm square c/s filled with mercury up to a

Assignment-1: Fluid properties and Pressure measurements Page 2 of 3

DUE DATE OF SUBMISSION :- 14/02/2021

Assignment-1: Fluid properties and Pressure measurements Page 3 of 3

DUE DATE OF SUBMISSION :- 14/02/2021

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