Code No: NR220301
NR
Set No. 2
in
II B.Tech II Semester Supplementary Examinations,May 2010 MECHANICS OF FLUIDS Common to Mechanical Engineering, Metallurgy And Material Technology Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????
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1. (a) The velocity components in x and y directions are given as 3 − 2xy u = 2xy 3 3 2 ϑ = xy − 2yx 3 Indicate whether the given velocity components represent a case of possible flow field or not. (b) Show and deduce the relation between stream and velocity potential functions. [8+8]
or
2. (a) Derive an expression for Bernoulli’s equation for the adiabatic process. (b) What is the difference between isotropic and adiabatic process.
[8+8]
3. (a) Explain the concept of flow through a long pipe along with a neat sketch.
uW
(b) A main pipe divides into two parallel pipes which again forms one pipe. The length and diameter for the first parallel pipe are 2000 m and 1.0 m respectively, while the length and diameter of second parallel pipe are 2000 m and 0.8 m. Find the rate of flow in each parallel pipe if total flow in the main is 3.0 cumecs. the coefficient of friction for each parallel pipe is same and equal to 0.006. [8+8] 4. (a) What is the purpose of a differential manometer, and what are the types of differential manometers
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(b) What are the devises to measure discharge in open channels. Explain their relative merits and demerits. [8+8]
Aj
5. (a) Prove that the boundary shear stress is directly proportional to the pressure gradient and the boundary spacing for the case of laminar flow between parallel flat plates when both the plates are at rest. (b) What do you know about Couette flow? Explain
[8+8]
6. (a) Classify the fluids A and B for which the following values of deformation rate and shear stress are obtained experimentally: Give the reasons for their behaviour. Shear Stres N/m2 Fluid-A, du/dy sec−1 Fluid-B,du/dy sec−1
1
0 100 200 300 400 0 0.30 0.60 0.90 1.20 0 54.8 77.5 94.9 109.5
Code No: NR220301
NR
Set No. 2
(b) A cylinder 0.25 m in radius and 2 m in length rotates coaxially inside a fixed cylinder of the same length and 0.30 m radius. Olive oil of viscosity 5.0 Pas fills the space between the cylinders. A torque of 5.0 N-m is applied to the inner cylinder. After constant velocity is attained, calculate the velocity gradients at the inner walls, the resulting r.p.m. and the power dissipated by fluid resistance ignoring end effects. [8+8]
in
7. (a) Draw and explain the approximate flow pattern and the pressure distribution around a flat plate placed normal to a stream.
ld .
(b) A flat plate of 2.0 m width and 4.0 m length is kept parallel to air flowing at a velocity of 5 m/s. Determine the length of plate over which the boundary layer is laminar, shear at the location which boundary layer ceases to be laminar and total force on both sides on that portion of plate where the boundary layer is laminar. Take p = 1.2 kg/m3 and v = 1.47 × 10−5 m2 /s. [6+10] 8. (a) Derive an expression for the difference of pressure between two points in a free vortex flow.
or
(b) An open circular cylinder of 15 cm diameter and 100 cm long contains water up to a height of 70 cm. Find the speed at which the cylinder is to be rotated about its axis so that the axial depth becomes zero. [6+10]
Aj
nt
uW
?????
2
Code No: NR220301
NR
Set No. 4
in
II B.Tech II Semester Supplementary Examinations,May 2010 MECHANICS OF FLUIDS Common to Mechanical Engineering, Metallurgy And Material Technology Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. (a) Draw and explain the approximate flow pattern and the pressure distribution around a flat plate placed normal to a stream.
ld .
(b) A flat plate of 2.0 m width and 4.0 m length is kept parallel to air flowing at a velocity of 5 m/s. Determine the length of plate over which the boundary layer is laminar, shear at the location which boundary layer ceases to be laminar and total force on both sides on that portion of plate where the boundary layer is laminar. Take p = 1.2 kg/m3 and v = 1.47 × 10−5 m2 /s. [6+10]
or
2. (a) Explain the concept of flow through a long pipe along with a neat sketch.
uW
(b) A main pipe divides into two parallel pipes which again forms one pipe. The length and diameter for the first parallel pipe are 2000 m and 1.0 m respectively, while the length and diameter of second parallel pipe are 2000 m and 0.8 m. Find the rate of flow in each parallel pipe if total flow in the main is 3.0 cumecs. the coefficient of friction for each parallel pipe is same and equal to 0.006. [8+8] 3. (a) Derive an expression for the difference of pressure between two points in a free vortex flow. (b) An open circular cylinder of 15 cm diameter and 100 cm long contains water up to a height of 70 cm. Find the speed at which the cylinder is to be rotated about its axis so that the axial depth becomes zero. [6+10]
nt
4. (a) What is the purpose of a differential manometer, and what are the types of differential manometers (b) What are the devises to measure discharge in open channels. Explain their relative merits and demerits. [8+8]
Aj
5. (a) Classify the fluids A and B for which the following values of deformation rate and shear stress are obtained experimentally: Give the reasons for their behaviour. Shear Stres N/m2 Fluid-A, du/dy sec−1 Fluid-B,du/dy sec−1
0 100 200 300 400 0 0.30 0.60 0.90 1.20 0 54.8 77.5 94.9 109.5
(b) A cylinder 0.25 m in radius and 2 m in length rotates coaxially inside a fixed cylinder of the same length and 0.30 m radius. Olive oil of viscosity 5.0 Pas fills the space between the cylinders. A torque of 5.0 N-m is applied to 3
Code No: NR220301
NR
Set No. 4
the inner cylinder. After constant velocity is attained, calculate the velocity gradients at the inner walls, the resulting r.p.m. and the power dissipated by fluid resistance ignoring end effects. [8+8]
in
6. (a) The velocity components in x and y directions are given as 3 − 2xy u = 2xy 3 3 2 ϑ = xy − 2yx 3 Indicate whether the given velocity components represent a case of possible flow field or not.
ld .
(b) Show and deduce the relation between stream and velocity potential functions. [8+8]
7. (a) Prove that the boundary shear stress is directly proportional to the pressure gradient and the boundary spacing for the case of laminar flow between parallel flat plates when both the plates are at rest. (b) What do you know about Couette flow? Explain
[8+8]
or
8. (a) Derive an expression for Bernoulli’s equation for the adiabatic process. (b) What is the difference between isotropic and adiabatic process.
Aj
nt
uW
?????
4
[8+8]
Code No: NR220301
NR
Set No. 1
in
II B.Tech II Semester Supplementary Examinations,May 2010 MECHANICS OF FLUIDS Common to Mechanical Engineering, Metallurgy And Material Technology Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. (a) Derive an expression for Bernoulli’s equation for the adiabatic process.
[8+8]
ld .
(b) What is the difference between isotropic and adiabatic process.
2. (a) Derive an expression for the difference of pressure between two points in a free vortex flow.
or
(b) An open circular cylinder of 15 cm diameter and 100 cm long contains water up to a height of 70 cm. Find the speed at which the cylinder is to be rotated about its axis so that the axial depth becomes zero. [6+10]
3. (a) Prove that the boundary shear stress is directly proportional to the pressure gradient and the boundary spacing for the case of laminar flow between parallel flat plates when both the plates are at rest. (b) What do you know about Couette flow? Explain
[8+8]
uW
4. (a) Draw and explain the approximate flow pattern and the pressure distribution around a flat plate placed normal to a stream. (b) A flat plate of 2.0 m width and 4.0 m length is kept parallel to air flowing at a velocity of 5 m/s. Determine the length of plate over which the boundary layer is laminar, shear at the location which boundary layer ceases to be laminar and total force on both sides on that portion of plate where the boundary layer is laminar. Take p = 1.2 kg/m3 and v = 1.47 × 10−5 m2 /s. [6+10]
Aj
nt
5. (a) The velocity components in x and y directions are given as 3 − 2xy u = 2xy 3 3 2 ϑ = xy − 2yx 3 Indicate whether the given velocity components represent a case of possible flow field or not. (b) Show and deduce the relation between stream and velocity potential functions. [8+8]
6. (a) Classify the fluids A and B for which the following values of deformation rate and shear stress are obtained experimentally: Give the reasons for their behaviour. Shear Stres N/m2 Fluid-A, du/dy sec−1 Fluid-B,du/dy sec−1 5
0 100 200 300 400 0 0.30 0.60 0.90 1.20 0 54.8 77.5 94.9 109.5
Code No: NR220301
NR
Set No. 1
(b) A cylinder 0.25 m in radius and 2 m in length rotates coaxially inside a fixed cylinder of the same length and 0.30 m radius. Olive oil of viscosity 5.0 Pas fills the space between the cylinders. A torque of 5.0 N-m is applied to the inner cylinder. After constant velocity is attained, calculate the velocity gradients at the inner walls, the resulting r.p.m. and the power dissipated by fluid resistance ignoring end effects. [8+8]
in
7. (a) Explain the concept of flow through a long pipe along with a neat sketch.
ld .
(b) A main pipe divides into two parallel pipes which again forms one pipe. The length and diameter for the first parallel pipe are 2000 m and 1.0 m respectively, while the length and diameter of second parallel pipe are 2000 m and 0.8 m. Find the rate of flow in each parallel pipe if total flow in the main is 3.0 cumecs. the coefficient of friction for each parallel pipe is same and equal to 0.006. [8+8] 8. (a) What is the purpose of a differential manometer, and what are the types of differential manometers
or
(b) What are the devises to measure discharge in open channels. Explain their relative merits and demerits. [8+8]
Aj
nt
uW
?????
6
Code No: NR220301
NR
Set No. 3
in
II B.Tech II Semester Supplementary Examinations,May 2010 MECHANICS OF FLUIDS Common to Mechanical Engineering, Metallurgy And Material Technology Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????
ld .
1. (a) Prove that the boundary shear stress is directly proportional to the pressure gradient and the boundary spacing for the case of laminar flow between parallel flat plates when both the plates are at rest. (b) What do you know about Couette flow? Explain
[8+8]
2. (a) Classify the fluids A and B for which the following values of deformation rate and shear stress are obtained experimentally: Give the reasons for their behaviour. 0 100 200 300 400 0 0.30 0.60 0.90 1.20 0 54.8 77.5 94.9 109.5
or
Shear Stres N/m2 Fluid-A, du/dy sec−1 Fluid-B,du/dy sec−1
uW
(b) A cylinder 0.25 m in radius and 2 m in length rotates coaxially inside a fixed cylinder of the same length and 0.30 m radius. Olive oil of viscosity 5.0 Pas fills the space between the cylinders. A torque of 5.0 N-m is applied to the inner cylinder. After constant velocity is attained, calculate the velocity gradients at the inner walls, the resulting r.p.m. and the power dissipated by fluid resistance ignoring end effects. [8+8]
nt
3. (a) The velocity components in x and y directions are given as 3 − 2xy u = 2xy 3 3 2 ϑ = xy − 2yx 3 Indicate whether the given velocity components represent a case of possible flow field or not. (b) Show and deduce the relation between stream and velocity potential functions. [8+8]
Aj
4. (a) Derive an expression for the difference of pressure between two points in a free vortex flow. (b) An open circular cylinder of 15 cm diameter and 100 cm long contains water up to a height of 70 cm. Find the speed at which the cylinder is to be rotated about its axis so that the axial depth becomes zero. [6+10]
5. (a) Explain the concept of flow through a long pipe along with a neat sketch. (b) A main pipe divides into two parallel pipes which again forms one pipe. The length and diameter for the first parallel pipe are 2000 m and 1.0 m respectively, while the length and diameter of second parallel pipe are 2000 m and 7
Code No: NR220301
NR
Set No. 3
0.8 m. Find the rate of flow in each parallel pipe if total flow in the main is 3.0 cumecs. the coefficient of friction for each parallel pipe is same and equal to 0.006. [8+8] 6. (a) Draw and explain the approximate flow pattern and the pressure distribution around a flat plate placed normal to a stream.
ld .
in
(b) A flat plate of 2.0 m width and 4.0 m length is kept parallel to air flowing at a velocity of 5 m/s. Determine the length of plate over which the boundary layer is laminar, shear at the location which boundary layer ceases to be laminar and total force on both sides on that portion of plate where the boundary layer is laminar. Take p = 1.2 kg/m3 and v = 1.47 × 10−5 m2 /s. [6+10] 7. (a) Derive an expression for Bernoulli’s equation for the adiabatic process. (b) What is the difference between isotropic and adiabatic process.
[8+8]
8. (a) What is the purpose of a differential manometer, and what are the types of differential manometers
or
(b) What are the devises to measure discharge in open channels. Explain their relative merits and demerits. [8+8]
Aj
nt
uW
?????
8
