Download GTU B.Tech 2020 Summer 6th Sem 2160602 Applied Fluid Mechanics Question Paper

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Subject Code: 2160602

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GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER- VI EXAMINATION — SUMMER 2020

Date: 27/10/2020

Subject Name: APPLIED FLUID MECHANICS

Time: 10:30 AM TO 01:00 PM

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Total Marks: 70

Instructions:

1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Draw sketch wherever necessary

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4. Figures to the right indicate full marks

Q.1

1. Determine the dimensions of : dynamic viscosity, torque and angular velocity 03
2. Enlist the forces acting on fluid in motion 04
3. Explain with diagrams how the main characteristic curves for pumps are obtained and how they are useful in pump selection. 07

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Q.2

1. Define : eddy viscosity, Prandtl's mixing length, and shear velocity 03
2. Give reasons why the expansion transition length in pipes are kept greater in comparison to contraction transition length. 04
3. Explain the Reynolds experiment for pipe flow with the help of sketch of the experimental set up and graph between head loss and Reynolds Number 07

OR

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1. Explain with diagram the specific energy curve for different discharges and develop the expression for the minimum specific energy and state the characteristics of flow in the critical state. 07
2. Differentiate between drawdown and back water curve of GVF giving examples where they occur 03
3. Discuss the utility of hydraulic jump 04

Q.3

1. A partially open sluice gate discharges water at 10 m/s with a depth of 50 cm in the horizontal rectangular channel of width 10 meter. Find the pre hydraulic jump Froude number and the height of the hydraulic jump that will occur under the given conditions. 07

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OR

1. State the assumptions made in the development of dynamic equation of gradually varied flow. 03
2. Develop the relationship between Manning’s “n” and Chezy’s “C” used for uniform steady flow 04
3. Calculate the specific energy, critical depth and velocity for the flow of 10 m³/s in a lined rectangular channel 2.5 meter wide with 2m depth of water. Find whether the flow is in sub critical or super critical state. 07

Q.4

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1. Define developing and developed flow 03
2. Explain why the development length for turbulent flow is much less compared to the development length required for a laminar flow. 04
3. With the help of neat sketch describe the development of boundary layer over a flat plate. 07

OR

1. Define and explain the significance of laminar sub layer 03

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2. Define the concept of displacement thickness and develop an expression for the same. 04

Q.5

1. Discuss the means of separation control for flow past an aerofoil, around a pipe bend and flow around a sphere 07
2. Explain the principle of dimensional homogeneity. Give an example each of dimensionally homogeneous and non homogeneous equation. 03
3. Define distorted and undistorted models and give their utility 04

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Q.5

1. A 10 cm diameter plate is to be rotated in water and a 25 cm diameter plate is to be rotated in air under dynamically similar conditions. Find the ratios of the torques required given that mass density of water and air respectively are 1000 kg/ m³ and 1.2 kg /m³, dynamic viscosity of water and air are 0.001 Ns/m² and 1.8x 10?5 Ns/m² respectively. 07

OR

1. Discuss the circumstances under which the pumps will be connected in series or parallel. Explain the resultant head and discharges in the two cases 03
2. Explain the scale effect in models 04

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3. In a 1:20 model of a stilling basin the height of the hydraulic jump and the energy dissipated in the model is 0.2 meter and 0.1 kilowatt respectively, find the corresponding values in the prototype. 07

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