11. f the velocity distribution of a fluid over a plate is given by u= (3/4) y-y,where u is the velocity in metre per second at a distance of y metres above the plate, determine the shear stress at y = 0.15 metre, Take dynamic viscosity of the fluid as 8.5 x 10 kg-sec/m. (Ans. 3,825 x 10 kgữu']
11. f the velocity distribution of a fluid over a plate is given by u= (3/4) y-y,where u is the velocity in metre per second at a distance of y metres above the plate, determine the shear stress at y = 0.15 metre, Take dynamic viscosity of the fluid as 8.5 x 10 kg-sec/m. (Ans. 3,825 x 10 kgữu']
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![. Calculate the pressure within the droplet of
11. ưthe velocity distribution of a fluid over a plate is given by u= (3/4) y-y, where uis the velocity in metre
per second at a distance of y metres above the plate, determine the shear stress at y = 0.15 metre, Take
dynamic viscosity of the fluid as 8.5 x 10 kg-sechn.
12. An oil of viscosity 5 poise is used for lubrication between a shaft and sleeve. The diameter of shaft is
05 m and it rotates at 200 r.p.m. Calculate the power lost in the oil for a sleeve length of 100 mm. The
thickness of the oil film is 1.0 mm.
[Ans. 3.825 x 10 kgfhu]
[Ans. 2.15 kW)
13. The velocity distribution over a plate is given by u=y-y in which u is the velocity in m/sec at a
distance of y m above the plate. Determine the shear stress at y = 0, 0.1 and 0.2 m. Take pu = 6 poise.
[Ans. 0.4, 0.028 and 0.159 Nm)
14. In question 13, find the distance in metres above the plate, at which the shear stress is zero.
[Ans. 0.333 m)
15. The velocity profile of a viscous fluid over a plate is parabolic with vertex 20 cm from the plate, where the
velocity is 120 cmls. Calculate the velocity gradient and shear stress at distances of 0, 5 and 15 cm from the
plane, given the viscosity of the fluid 6 poise. [Ans. 12/s, 7.18 N/m, 9/s, 5.385 N/m; 3/s, 1.795 Nim
16. The weight of a gas is given as 17.658 N/m at 30°C and at an absolute pressure of 29.43 N/cm. Deter-
mine the gas constant and also the density of the gas.
Ans.
m
1.8 kg 539.55 N m
kg*K
17. A cylinder of 0.9 m in volume contains air at 0°C and 39.24 N/em? absolute pressure. The air is
compressed to 0.45 m. Find () the pressure inside the cylinder assuming isothermal process,
( pressure and temperature assuming adiabatic process. Take k = 1.4 for air.
[Ans. (1) 78.48 N/cm, (i) 103.5 N/m, 140C]
18. Calculate the pressure exerted by 4 kg mass of nitrogen gas at a temperature of 15°C if the volume is 0.35 m.
Molecular weight of nitrogen is 28.
19. The pressure of a liquid is increased from 60 N/cm to 100 N/cm and volume decreases by 0.2 per cent.
Determine the bulk modulus of clasticity.
20. Determine the bulk modulus of clasticity of a fluid which is compressed in a cylinder from a volume of
0.009 m at 70 Nica pressure to a volume of 0.0085 m' at 270 N/em pressure. [Ans. 3.6 x 10 N/cm"]
21. The surface tension of water in contact with air at 20°C is given as 0.0716 N/m. The pressure inside
droplet of water is to be 0.0147 N/cm greater than the outside pressure, calculate the diameter of the
droplet of water.
2. Find the surface tcnsion in a soap bubble of 30 mm diameter when the inside pressure is 1.962 Nim above
[Ans. 97.8 N/em)
(Ans. 2 x 10* Nem]
(Ans. 1.94 mm)
atmosphere.
22. The surface ension of water in contact with air is given as 0.0725 N/m. The pressure outside the dropler ol
[Ans. 0.00735 Nm]
water of diameter 0.02 mm is atmospheric 10.32.
water.
[Ans. 11.77 N/cm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4dd1007c-7267-4b8c-9074-2b720bca0ede%2F2b1a7600-de73-448c-aa6f-d1de8812f7b2%2Fh894n6d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:. Calculate the pressure within the droplet of
11. ưthe velocity distribution of a fluid over a plate is given by u= (3/4) y-y, where uis the velocity in metre
per second at a distance of y metres above the plate, determine the shear stress at y = 0.15 metre, Take
dynamic viscosity of the fluid as 8.5 x 10 kg-sechn.
12. An oil of viscosity 5 poise is used for lubrication between a shaft and sleeve. The diameter of shaft is
05 m and it rotates at 200 r.p.m. Calculate the power lost in the oil for a sleeve length of 100 mm. The
thickness of the oil film is 1.0 mm.
[Ans. 3.825 x 10 kgfhu]
[Ans. 2.15 kW)
13. The velocity distribution over a plate is given by u=y-y in which u is the velocity in m/sec at a
distance of y m above the plate. Determine the shear stress at y = 0, 0.1 and 0.2 m. Take pu = 6 poise.
[Ans. 0.4, 0.028 and 0.159 Nm)
14. In question 13, find the distance in metres above the plate, at which the shear stress is zero.
[Ans. 0.333 m)
15. The velocity profile of a viscous fluid over a plate is parabolic with vertex 20 cm from the plate, where the
velocity is 120 cmls. Calculate the velocity gradient and shear stress at distances of 0, 5 and 15 cm from the
plane, given the viscosity of the fluid 6 poise. [Ans. 12/s, 7.18 N/m, 9/s, 5.385 N/m; 3/s, 1.795 Nim
16. The weight of a gas is given as 17.658 N/m at 30°C and at an absolute pressure of 29.43 N/cm. Deter-
mine the gas constant and also the density of the gas.
Ans.
m
1.8 kg 539.55 N m
kg*K
17. A cylinder of 0.9 m in volume contains air at 0°C and 39.24 N/em? absolute pressure. The air is
compressed to 0.45 m. Find () the pressure inside the cylinder assuming isothermal process,
( pressure and temperature assuming adiabatic process. Take k = 1.4 for air.
[Ans. (1) 78.48 N/cm, (i) 103.5 N/m, 140C]
18. Calculate the pressure exerted by 4 kg mass of nitrogen gas at a temperature of 15°C if the volume is 0.35 m.
Molecular weight of nitrogen is 28.
19. The pressure of a liquid is increased from 60 N/cm to 100 N/cm and volume decreases by 0.2 per cent.
Determine the bulk modulus of clasticity.
20. Determine the bulk modulus of clasticity of a fluid which is compressed in a cylinder from a volume of
0.009 m at 70 Nica pressure to a volume of 0.0085 m' at 270 N/em pressure. [Ans. 3.6 x 10 N/cm"]
21. The surface tension of water in contact with air at 20°C is given as 0.0716 N/m. The pressure inside
droplet of water is to be 0.0147 N/cm greater than the outside pressure, calculate the diameter of the
droplet of water.
2. Find the surface tcnsion in a soap bubble of 30 mm diameter when the inside pressure is 1.962 Nim above
[Ans. 97.8 N/em)
(Ans. 2 x 10* Nem]
(Ans. 1.94 mm)
atmosphere.
22. The surface ension of water in contact with air is given as 0.0725 N/m. The pressure outside the dropler ol
[Ans. 0.00735 Nm]
water of diameter 0.02 mm is atmospheric 10.32.
water.
[Ans. 11.77 N/cm
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning