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Physical Phenomena - Fluid and Heat Mechanics - Exam, Exams of Fluid Mechanics

Bharat Ratna Dr. B. R. Ambedkar UniversityFluid Mechanics

Main points of this past exam are: Physical Phenomena, Dimensionless, Encountered, Fluid Flow Problems, Volumetric Flow Rate, Pipe of Diameter, Dimensional Analysis

Typology: Exams

2012/2013

Uploaded on 03/30/2013

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CORK INSTITUTE OF TECHNOLOGY
INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ
Autumn Examinations 2010/11
Module Title: Fluid Dynamics
Module Code: MECH8007
School: Mechanical & Process Engineering
Programme Title: Bachelor of Engineering (Honours) Mechanical Engineering – Award
Programme Code: EMECH_8_Y4
External Examiner(s): Prof. Robin Clarke, Mr. John J. Hayes,
Internal Examiner(s): Mr Matt Cotterell
Instructions: Attempt any THREE Questions.
Duration: 2 Hours
Sitting: Autumn 2011
Requirements for this examination:
Note to Candidates: Please check the Programme Title and the Module Title to ensure that you have received the
correct examination paper.
If in doubt please contact an Invigilator.
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CORK INSTITUTE OF TECHNOLOGY

INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ

Autumn Examinations 2010/

Module Title: Fluid Dynamics

Module Code: MECH8 007

School: Mechanical & Process Engineering

Programme Title: Bachelor of Engineering (Honours) Mechanical Engineering – Award

Programme Code: EMECH_8_Y

External Examiner(s): Prof. Robin Clarke, Mr. John J. Hayes,

Internal Examiner(s): Mr Matt Cotterell

Instructions: Attempt any THREE Questions.

Duration: 2 Hours

Sitting: Autumn 2011

Requirements for this examination:

Note to Candidates: Please check the Programme Title and the Module Title to ensure that you have received the correct examination paper. If in doubt please contact an Invigilator.

(a) Discuss the dimensionless Π-groups that are commonly encountered in fluid flow problems and how they relate to the physical phenomena that they represent. Illustrate your answer with fluid flow situations where each of the Π-groups would be dominant. (12 marks) (b) A vortex shedding flow-meter consists of an element of size d , installed in a pipe of diameter D through which fluid of density ρ and viscosity μ is discharged with volumetric flow rate Q. The

vortex shedding frequency f is measured in Hz and is known to be related to the flow rate Q.

Given that Q is a function of d, D, ρ , μ and f use dimensional analysis to show that:

Q f D^3^ d^ , D D Q  ^ ^    (^)  

Comment on the result and the physical significance of the dimensionless groups obtained.

[ Hint: Take ρ, D and Q as the “core variables” to simplify your analysis] (21 marks)

Q

(a) The actual head produced by a turbomachine will always be less than the ideal head predicted by the Euler equation. Explain the factors that contribute to this loss in head and distinguish between those that involve energy losses and those that do not. (12 marks) (b) A centrifugal fan impeller has a diameter of 1500 mm, a width of 250 mm, an exit blade angle β 2 of 50º and rotates at 1450 rpm. The flow rate is 60 m^3 /s of air. Construct the exit velocity triangle for the impellor and hence determine: (i) The radial, whirl, relative and absolute fluid velocities at exit. (10 marks) (ii) The theoretical Euler head (assuming no pre-whirl at inlet) and the pressure rise across the impellor. (6 marks) (iii) The shaft power required to rotate the impellor. (5 marks)

Write detailed technical accounts on any TWO of the following topics: (a) The Effects of Surface Roughness on Turbomachine Performance and the use of Hydraulic Efficiency Step-Up Formulae. (b) Viscous Drag Effects due to Laminar and Turbulent Boundary Layers (c) Mixing Length Theory and the Modelling of Turbulent Flow

(33 Marks)

DATA FOR ALL QUESTIONS

The density of water may be taken as 998 kg/m^3 unless otherwise stated. The density of water may be taken as 1.2 kg/m^3 unless otherwise stated.