(dme 411) - anucde · (dme 411) b.tech. degree examination, dec. ... coefficient of friction...

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(DME 411) B.Tech. DEGREE EXAMINATION, DEC. - 2013 (Examination at the end of IVth Year First Semester) Mechanical Engineering Paper - I : INDUSTRIAL ENGINEERING & MANAGEMENT Time : 03 Hours Maximum Marks : 75 Answer question No: 1 Compulsory (5×3=15) Answer one question from each unit (4×15=60) 1) a) Travel Chart b) Straight line method c) Advertising & Sales promotion. d) Product life cycle. e) Mortgage, Hypothecation & Pledge. Unit - I 2) a) Define and Explain the concept of productivity, how is it related to work study? b) Write short notes in the following: i) Techniques of work study. ii) Work study and management. OR 3) a) Discuss briefly “SIMO CHART” and give its applications. b) Discuss in brief “THERBLIG”.

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(DME 411) B.Tech. DEGREE EXAMINATION, DEC. - 2013

(Examination at the end of IVth Year First Semester)

Mechanical Engineering

Paper - I : INDUSTRIAL ENGINEERING & MANAGEMENT

Time : 03 Hours Maximum Marks : 75

Answer question No: 1 Compulsory (5×3=15)

Answer one question from each unit (4×15=60)

1) a) Travel Chart

b) Straight line method

c) Advertising & Sales promotion.

d) Product life cycle.

e) Mortgage, Hypothecation & Pledge.

Unit - I

2) a) Define and Explain the concept of productivity, how is it related to work study?

b) Write short notes in the following:

i) Techniques of work study.

ii) Work study and management.

OR

3) a) Discuss briefly “SIMO CHART” and give its applications.

b) Discuss in brief “THERBLIG”.

Unit - II

4) a) Distinguish between “time study” and “Motion study”.

b) State and explain in brief the steps involved in work measurement procedure.

OR

5) a) What are the factors effecting the plant location? Discuss.

b) Discuss how the site of a factory would influence the cost of the product being

manufactured.

Unit - III

6) a) Give the principles of scientific management.

b) Discuss briefly the different forms of business organization.

OR

7) a) distinguish between private limited & public limited companies.

b) What is the role of personnel manager

Unit - IV

8) a) What are the various steps in conducting marketing research?

b) Explain briefly various advantages and disadvantages of undertaking marketing

research.

OR

9) a) What do you mean by business finance/ Discuss various approached to finance

function.

b) Discuss diminishing balance method of calculating depreciation fund.

���

(DME 412)

B.Tech. DEGREE EXAMINATION, DECEMBER-2013

Examination at the end of IVth Year First Semester)

MECHANICAL ENGINEERING

Paper-II : Advanced Machine Design

Time : 3 Hours Maximum Marks : 75

Answer Question No.1 compulsory

Answer ONE question from each Unit

1) Write brief note on:

a) Classification of springs?

b) Comparison of Brakes and clutches?

c) Stresses in rimmed flywheel?

d) Parallel Reliability?

e) Human aspects of design?

UNIT I

2) A lift system is provided with cushion springs at the bottom of lift. The lift is free to fall.

Springs are set in parallel. Specify the required number of springs if the lift has free fall of

1.5m from rest. Weight of lift = 30kN Allowable deflection per spring = 370mm. Number of

active turns = 15. Spring mean coil diameter = 30 mm spring wire diameter = 30 mm

Modulus of rigidity for spring = 80 Gpa?

(or)

3) A helical spring is to support a load of 1000N. The spring is guided by a rod of 50mm

diameter. The spring undergoes a deflection of 40mm under the load. Determine the diameter

of the wire and the number of turns required, Use C-60 steel with a factor of safety 2?

UNIT II

4) A differential band brake acting on the 3/4th of the circumference of a drum of 450mm

diameter is to provide a braking torque of 250Nm. One end of the band is attached to a pin

100mm from the fulcrum of the lever and the other end to another pin 25mm from the

fulcrum on the other side of it where the operating force is also acting. If the operating force

is applied at 500mm from the fulcrum and the coefficient of friction is 0.2 find the two values

of the operating force corresponding to the two directions of rotation of the drum?

(or)

5) A centrifugal clutch has 4 shoes which slide radially in a spider keyed to the driving shaft and

make contact with internal cylindrical surface of a rim keyed to the driven shaft. When the

clutch is at rest, each shoe is pulled against a stop by a spring so as to leave a radial clearance

of 5 mm between the shoe and the rim. The pull exerted by the spring is then 500 N. The

mass centre of shoe is 160mm from the axis of the clutch. If the internal diameter of the rim

is 400mm, the mass of each shoe is 8kg, the stiffness of each spring is 50N/mm and the

coefficient of friction between the shoe and the rim is 0.3. Find the power transmitted by the

clutch at 500 rpm?

UNIT III

6) a) State how the size of the flywheel calculated?

b) Write down the design procedure for a flywheel?

Or

7) Determine the dimensions of an I-section connecting rod for a petrol engine from the

following data: Diameter of the piston = 110 mm; Mass of the reciprocation parts = 2 kg

length of the connecting rod from centre to centre = 325 mm; Stroke length = 150mm; R.P.M

= 1500 with possible over speed of 2500; Compression ratio = 4:1; Maximum explosion

pressure = 2.5N/mm2?

UNIT IV

8) a) Sketch and explain system design with an example.

b) Discuss practical problems that encounter in design.

(or)

9) a) Derive an expression to find out reliability of series system having 'n' compounds.

b) Find out the system reliability.

* * * *

(DME 413)

B.Tech. DEGREE EXAMINATION, DEC. - 2013

(Examination at the end of IVth Year First Semester)

Mechanical Engineering

Paper – III : FINITE ELEMENT ANALYSIS

Time : 03 Hours Maximum Marks : 75

Answer Q. No. 1 Compulsory

Answer one question from each unit

1) Write brief note on:

a) Rayleigh Ritz method?

b) Shape functions of 1D Truss element

c) Potential energy approach?

d) Difference between isoperimetric and sub parametric elements?

e) Difference between Plane stress and plane strain problems?

f) Galarkin approach for 1-D heat transfer problems?

g) Axisymmetric formulation?

Unit - I

2) a) Describe the basic steps involved in the Finite Element Method of analysis?

b) Define the stiffness matrix for axial members using Raleigh Ritz method?

Or

3) a) With the help of a neat diagram, describe the various components of stresses and

Strains?

b) State and explain the principle of minimum potential energy by considering Suitable

example?

Unit - II

4) Consider the bar in fig. loaded as shown. Determine the nodal displacements, element

stresses, and support reactions. Solve this problem by hand calculation, adopting the

elimination method for handling boundary conditions?

Or

5) a) Derive the stiffness of axial bar and convert it into stiffness of a truss element?

b) The members (1) and (2) are circular in cross-section with diameters of 10cm and 20cm

respectively. Determine the displacement at the node where load is acting as shown in

fig.

Unit - III

6) For the triangular element shown in fig. obtain the strain-displacement relation matrix B and

determine the strain , .

Or

7) a) Describe iso-parametric mapping procedure with an example?

b) Derive the Jacobian matrix for a bilinear isoparametric element to solve static?

Unit - IV

8) a) Determine the temperature distribution in straight fin of circular cross section. Using

three 1-D linear elements and consider the tip is insulated. Diameter of fin is 1cm

length is 6cm, h=0.6w/cm2 oc, and the base temperature is ?

b) Heat is generated in a large plate (k=0.8w/moC) at the rate of 4000w/m3. The plate is

25cm thick. The outside surface of plate are exposed to ambient air at 30oc with a

convective heat transfer coefficient of 20 w/m2 oC. Determine temperature distribution

in wall?

Or

9) An axis-symmetric ring element is shown in fig. Derive the matrices [B] and [D]. Take

E=2×105N/mm2 and µ = 0.33.

� � �

(DME 414)

B.Tech. Degree Examination, DEC. - 2013

(Examination at the end of IVth Year First Semester)

MECHANICAL ENGINEERING

Paper - IV : Computer Aided Manufacturing & Automation

Time : 03 Hours Maximum Marks : 75

Answer Question No. 1 is compulsory. [15]

Answer ONE question from each unit [4 × 15 = 60]

1) Write a short notes on the following:

a) Drawbacks of Automation.

b) Fixed zero and Floating zero.

c) Differences between NC, CNC and DNC.

d) Canned cycles?

e) Different functions performed by MCU?

f) Benefits of FMS

g) Automated productions lines.

UNIT I

2) a) Explain the different types of automation.

b) What are transfer lines? Explain.

UNIT II

3) a) What is ECM? Explain its use.

b) Explain the working principle of a Laser Beam machining.

UNIT III

4) a) Explain the function of CLU of machine control unit.

b) Explain and differentiate and NC and a CNC machine.

OR

5) a) What is Adaptive control of Machines? Explain.

b) What is machining center? Explain its feature.

UNIT III

6) a) Discuss the steps involved in the preparation of computer assisted part

programming.

b) What is cutter radius compensation? Explain.

OR

7) a) Explain the different geometric statements used to define a circle in

APT.

b) Explain the different preparatory codes used in manual part

programming.

UNIT IV

8) a) Define the FMS and discuss the features of a typical FMS with a schematic

diagram.

b) Explain the step-wise implementation of CIM in a discrete part of

manufacturing system.

OR

9) a) What are the computer programming languages used for CAPP?

b) What is MICLASS? Explain.

� � �

(DME 415)

B.Tech DEGREE EXAMINATION, DEC. - 2013

(Examination at the end of IVth Year, First Semester)

Mechanical Engineering

Paper – V: MECHATRONICS

Time: 03 Hours Maximum Marks: 75

Answer Question No.1 compulsory

Answer One question from each Unit

1) Write a short note on the following:

a) What is DAC?

b) How does a stepper motor work?

c) Define a Transfer function.

d) Explain continuous and discrete processes.

e) What are the uses of counters?

f) What is meant by linearization?

g) What is Rung in a ladder programme?

UNIT - I

2) a) Explain the role of mechatronics in automated manufacturing industry.

b) What are the various applications of mechatronics? Explain.

OR

3) a) Explain the need for using the signal conditioning.

b) Explain data acquisition system.

UNIT - II

4) a) Explain how a linear motion is used to produce rotary movement.

b) Explain the advantages of pneumatic actuators over hydraulic actuators?

OR

5) a) What are the different signal conditioning methods? Discuss them briefly.

b) Explain the various analogies of mechanical system with respect to

electrical systems.

UNIT - III

6) a) Explain Proportional plus integral control

b) What are the advantages and disadvantages of negative feedback?

7) a) Explain the functions that are required for an interface

b) Explain the use of Karnaugh maps.

UNIT - IV

8) Draw a block diagram of Programmable Logic Controller (PLC) showing in

very general terms the main units of it.

OR

9) a) What is an electrical relay? Explain the principle of operation of a relay

with a neat diagram.

b) Discuss the use of PC based simulations in robots.

���

(DME 416/3)

B. Tech. DEGREE EXAMINATION, DEC. - 2013

(Examination at the end of Fourth Year First Semester)

MECHANICAL ENGINEERING

Paper – VI : Optimization Techniques

Time : 03 Hours Maximum Marks : 75

Answer Question No. 1 Compulsory 5 × 3 = 15

Answer ONE question from each unit 4 × 15 = 60

1) Write a brief note on

a) Interpolation methods.

b) Geometric programming

c) Stochastic programming

d) Optimization problems with equality and inequality constraints

e) Define a saddle point and indicate its significance.

UNIT - I

2) a) State the liner programming problem in standard form and explain.

b) List the engineering application of optimization.

OR

3) a) Explain the classification of optimization problem.

b) What is optimization? Explain an optimization problem with an example

and the techniques to solve it.

UNIT -II

4) Explain Random search method with an example.

OR

5) a) Explain with example gradient search method.

b) Use simplex method to solve the following Maximize

Z = 6 + 3 + 4x3 + 2 + subjected to

2 + 3 + 3 + = 10

+ 2 + + = 8

, , , , = 0

UNIT - III

6) a) Draw and explain the flow chart of conjugate gradient method.

b) With an example explain stochastic programming.

OR

7) a) What is Lagrange multiplier method?

b) How is the degree of difficulty defined for a constrained geometric

programming problem?

UNIT – IV

8) A beam of uniform rectangular cross section is to be cut from a log having a

circular cross section of diameter 2a. The beam is to be used as a cantilever

beam to carry a concentrated load at the free end. Find the cross-sectional

dimension of the beam which will have the maximum bending stress carrying

capacity using an exterior penalty function approach with analytical

unconstrained minimization.

OR

9) a) Explain with an example the design of a simple axial.

b) Discuss optimum design of simple linkage mechanism.

�����

(DME 416/4)

B. Tech. DEGREE EXAMINATION, DEC. - 2013

(Examination at the end of Fourth Year First Semester)

Mechanical Engineering

Paper – VI : REFRIGERATION & AIR - CONDITIONING

Time : 03 Hours Maximum Marks : 75

Answer Question No. 1 is Compulsory (15)

Answer one question from each unit (4 × 15 = 60)

1) Write brief note on:

a) What is COP of a refrigeration system?

b) What are the sources of heat in an air craft cabin?

c) Draw a line diagram of a simple vapour compression system and plot it on

T-s and p-h diagrams.

d) What is the function of gas in Electrolux refrigerator.

e) What is the function of ejector or booster in a steam jet refrigeration

system?

f) Define adiabatic saturation temperature.

g) What do you understand by Psychrometry.

UNIT - I

2) a) Discuss the applications of refrigeration.

b) Explain any three methods of refrigeration with suitable sketches.

OR

3) a) What are the advantages of dense air refrigeration system over

an open air refrigerating system?

b) A dense air refrigeration machine operates on reversed Brayton cycle and is

required for 10 tons of refrigeration capacity. The cooler pressure is 4.2 bar

and refrigerator pressure is 1.4 bar. The air is cooled in the cooler to a

temperature of 500.C and the temperature of air at inlet to the compressor is

-200.C. For an ideal cycle, determine the following.

i) COP of the system. ii) Mass of air circulated per minute

iii) Theoretical piston displacement of the compressor

iv) Net power per ton of refrigeration.

UNIT -II

4) a) What is sub cooling and super heating? Explain with the help of a diagram.

Why is superheating considered to be good in certain cases?

b) A refrigerating unit is working between 400C and -100C. The load on the

unit is 5tons.

Find: i) COP of the system, ii) Power required to run system.

Assume that the refrigerant is dry and saturated vapour leaving the

evaporator and compression is isentropic. The refrigerant used is NH3. If the

temperature of the refrigerant required in the evaporator is – 200C, then,

find the change in COP of the system and the power required.

OR

5) a) What are the different types of compressors? Mention the fields for the use

of each refrigeration systems giving reasons?

b) A two cylinder reciprocating compressor with 5% clearance is used in a

refrigeration cycle to take load of 7.5 tons at 50C evaporating temperature

and 400C condensing temperature. The compression index is 1.15. The

speed of the piston is limited to 3 m/s.

Take the ratio of stroke to bore as 0.8 If the refrigerant used is Freon – 12,

determine

i) Power consumption of the compressor and C.O.P. of the cycle

ii) Volumetric efficiency of the compressor and

iii) Bore and stroke and rpm of the compressor. Consider ideal cycle.

UNIT - III

6) a) Draw a neat diagram of lithium bromide water absorption system and

explain its working. List the major field application of this system.

b) In a vapour absorption refrigeration system, heating, cooling and refrigeration

takes place at the temperatures of 1000C, 200C and -50C respectively.

Find the maximum C.O.P. of the system.

OR

7) a) Under what circumstances, the steam jet refrigeration system more

preferable over other systems?

b) With suitable sketches explain the functions of the components of steam jet

refrigeration plant.

UNIT – IV

8) a) Define relative humidity, specific humidity, and dew-point temperature

and describe a theoretical method for determining their values.

b) Calculate, i) Relative humidity, ii) Humidity ratio,

iii) dew point temperature, iv) Density and

v) Enthalpy of atmospheric air when the DBT is 350C, WBT is

230C and the barometer reads 750mm of Hg.

OR

9) a) Write short notes on grills and registers.

b) Explain solar assisted heat pumps by drawing the circuit diagram.

�����

(DME 421)

B.Tech. DEGREE EXAMINATION, DEC. 2013

(Examination at the end of IVth year Second Semester)

Mechanical Engineering

Paper – I : MECHANICAL MEASUREMENTS

Time : 03 Hours Maximum Marks : 75

Answer Question No.1 compulsory [15]

Answer One question from each Unit [4 x 15 = 60]

1) Write brief notes on

a) Explain primary, secondary and tertiary measurements with sketches.

b) What do you mean by error in measurements? Discuss the sources of error.

c) What is the purpose of a proving ring? Draw a neat sketch of the ring.

d) Draw a neat sketch of hydraulic load cell.

e) Explain the working principle of Piezo-electric transducers. Also mention

their advantages?

f) What is the purpose of a dynamometer?

g) Explain the principle of LVDT.

UNIT – I

2) Write short notes on any two of the following

a) Explain clearly the following terms: Speed of response, time lag, fidelity

and dynamic error, dead time and dead zone.

b) Explain in detail static and dynamic characteristics of instrument.

OR

3) a) Explain in detail with mathematical relations for different types of errors

which occur during measurements.

b) What is the order of instrument and discuss the response of the second

order system for undamped condition.

UNIT – II

4) a) Explain with neat sketch, the working principle of LVDT ? Draw the

response curve and list the advantages and disadvantages of LVDT ?

b) Classify the different types of sensors/transducers giving their operation

conversion and purposes.

OR

5) a) What is strain gauge ? List out different types of strain gauge material?

Explain with sketches strain gauge rosettes.

b) Explain with neat sketches the working principle of pneumatic and

hydraulic load cell.

UNIT – III

6) a) Explain clearly with the help of neat sketches the laws of thermocouples.

Mention the commonly used industrial names of thermocouples mentioning

the materials and temperature range.

b) Draw a neat sketch of a Bourdon tube pressure gauge. What types of errors

are encountered while making measurements and how are they rectified.

OR

7) a) Explain the procedure of measurement of temperature using non electrical

methods.

b) Draw and explain high pressure and low pressure measurement techniques.

UNIT – IV

8) a) What are the different methods of torque measurement ? Explain with a

neat sketch, torque measurement with a cradling system ?

b) Explain in detail the working principle of seismic accelerometer ?

OR

9) a) With a neat sketches explain working principle of rope brake dynamometer

and explain in detail different types of cooling arrangements for the

dynamometers ?

b) Discuss in detail about hydraulic control system ?

����

(DME 422)

B.Tech. DEGREE EXAMINATION, DEC. 2013

(Examination at the end of Fourth Year Second Semester)

MECHANICAL ENGINEERING

Paper – II : Computer Aided Design

Time : 03 Hours Maximum Marks : 75

Answer Question No.1 compulsory [15]

Answer One question from each Unit [4 x 15 = 60]

1) Write a short note on the following:

a) CAD work station

b) Random lay

c) Mid point circle algorithm

d) Curve fitting technique

e) Blending functions.

f) Ruled surfaces.

g) Sweep representations.

UNIT – I

2) a) What is a work station? Explain.

b) Explain the benefits of CAD.

(OR)

3) a) Distinguish between CRT monitors and direct view storage tube (DVST)

devices.

b) Explain the design issues in color CRT monitors.

UNIT – II

4) a) What is meant by composite transformations?

b) Discuss about the super sampling approach followed for anti-aliasing.

(OR)

5) a) Characterize the transformation with suitable matrix formulation, for the

following operations: x ? = x + ay, y ? = bx + y .

b) Explain the various curve fitting techniques.

UNIT – III

6) a) Explain the plane curves and space curves.

b) How do you classify the various wireframe modeling systems?

(OR)

7) a) Describe various commonly used primitives for solid modeling.

b) Explain the types of polygon rendering methods.

UNIT – IV

8) a) Explain the Transformation of Geometry?

b) Explain clipping operations.

(OR)

9) a) Explain the different types of Hidden Surface removal methods.

b) Discuss about visible surface detection methods.

����

(DCS 423)

B.Tech. DEGREE EXAMINATION, DEC. - 2013

(Examination at the end of IVth

Year Second Semester)

Mechanical Engineering

Paper – III : ENERGY RESOURCES UTILIZATION

Time : 03 Hours Maximum Marks : 75

Answer Question No.1 compulsorily. (15)

Answer ONE Question from each unit (4×15=60)

1) a) What are the classifications of Hydroelectric power plant?

b) What are the advantages of gas turbine plant?

c) What are the factors affecting economics of generation?

d) What are the different Ash handling system?

e) What is balanced draught?

f) Define collector efficiency?

g) What is solar cell?

UNIT-I

2) a) Explain with a simple sketch working of a pumped storage plant with its

advantages and disadvantages.

b) Explain with a simple sketch, essential elements of a hydro electric power

plant?

OR

3) a) What are the different fuels used for gas turbine power plant, what are the

most suitable fuels for gas turbine power plant in country like India.

b) Explain the construction of flow duration curve and discuss its importance

in comparing the power potentiality of different storages used for power

generations.

UNIT-II

4) a) What is the necessity of coal storage? Discuss the different methods

used for coal storage at plant.

b) Explain the construction and working of ESP .

OR

5) a) Explain with the help of neat sketch of LA Mont Boiler.

b) Briefly explain the factors affecting performance of condenser?

UNIT-III

6) a) Explain with neat sketches working of BWR

b) What do you understand by the term Ozone layer depletion and what are

the methods to prevent Ozone layer depletion.

OR

7) a) What is a moderator in nuclear reactor, explain the desirable

properties of a good moderator.

b) What are breeder reactors, explain its working with stages of reactions in

the reactor.

UNIT-IV

8) a) Explain with neat sketches working of wind mill?

b) Explain the working of Solar energy storage systems?

OR

9) a) What are the advantages and disadvantages of geothermal energy

over other energy forms.

b) Explain the working of a closed cycle OTEC system with its advantages

over Open cycle system.

�����

(DME424/3)

B. Tech. DEGREE EXAMINATION, DEC. – 2013

(Examination at the end of IVth

Year Second Semester)

MECHANICAL ENGINEERING

Paper - IV : Robotics

Time : 03 Hours Maximum Marks : 75

Answer Question No. 1is compulsory (15)

Answer ONE question from each Unit (4 × 15 = 60)

1) Write a short note on the following:

a) Specifications of a robot.

b) Flexible automation.

c) Tools used as end effectors.

d) Potentiometers

e) Opto interrupters.

f) Touch sensors.

g) Trajectory

UNIT - I

2) a) Write in detail about the robot technology and classify the Industrial

robots.

b) Write about Robot configuration.

OR

3) a) Define Robot? Explain the relationship between automation and Robotics.

b) Explain programmable automation and compare it with flexible

automation.

UNIT- II

4) a) Explain vacuum grippers and Magnetic grippers.

b) What are the different types of joints used in robots? Give the degrees of

freedom associated with each joint.

OR

5) With reference to robot gripper, explain with suitable examples, the electric,

pneumatic and hydraulic drivesystems.

UNIT - III

6) a) Explain the different types of tactile sensors?

b) Explain the different types of non contact sensors used in robots.

OR

7) a) Explain various types of position sensing devices used in robots.

b) What do you mean by robot vision? Explain briefly.

UNIT - IV

8) a) Explain D-H notation joint coordinates and solve the Matrix relation

between rotation and translation.

b) For the PUMA 600 robotic arm the joint parameter table is given below:

Find 0T6.

Link a α θ d

1 0 -90 θ1 0

2 A2 +180 θ2 d2

3 a3 +90 θ3 0

4 0 +90 θ4 d3

5 0 -90 θ5 0

6 0 -180 θ6 d6

OR

9) Find the manipulator Jacobian matrix J (q) of the two – axis planer articulated

robot shown in the figure below:

�����

(DME 424/4)

B. Tech. DEGREE EXAMINATION, DEC. – 2013

(Examination at the end of IVth

Year Second Semester)

MECHANICAL ENGINEERING

Paper - IV : Computational Fluid Dynamics

Time : 03 Hours Maximum Marks : 75

Answer Question No. 1 compulsory (15)

Answer ONE question from each unit (4×15=60)

1) Write brief notes on:

a) What are the important applications of CFD in engineering?

b) List out advantages of panel method.

c) Elaborate the basic aspects of finite difference equations.

d) Write down the significance of Taylor series expansion.

e) Define discretization and round off error.

f) What is the necessity for strong and weak formulations of boundary value

problem?

g) What are the methods available for grid generation?

UNIT - I

2) Write short notes on any two of the following

a) Derive the energy equation for a viscous flow in partial differential non-

conservation form.

b) Derive the continuity equation for inviscid flow in partial differential non-

conservation form.

OR

3) a) Explain in brief the momentum equation. And discuss the model of an

infinitesimally small fluid element moving with the flow.

b) Discuss the impact on physical and computational fluid dynamics for

hyperbolic equation.

UNIT - II

4) a) State and explain the difference between explicit and implicit methods with

suitable examples.

b) How do you determine the accuracy of the discretization process? What are

the uses and difficulties of approximating the derivatives with higher order

finite difference schemes? How do you overcome these difficulties?

OR

5) a) Explain mathematical formulation of finite differences and Discuss the

concept of one-sided difference in detail.

b) Draw and explain the formulation of explicit finite difference module and

explain discretization error and round off error and discuss its significance in

numerical solutions.

UNIT - III

6) a) Define and explain boundary fitted coordinate system. How do you

transform governing equation on Cartesian coordinate to boundary fitted

coordinate system?

b) Briefly write about shock fitting and shock capturing techniques using neat

and appropriate sketches. Explain how shock capturing technique is used for

conserved form of equations.

OR

7) a) Explain the strong and weak formulations of a boundary value problem.

b) Explain the description of Prandtl boundary layer equation and its solution

methodology

UNIT - IV

8) a) What are the different types of panels used in the analysis of flow using

panel method.

b) Explain in detail about source panel method.

OR

9) a) Describe MacCormac’s technique for an unsteady, two-dimensional invicid

flow. How does it differ from Lax-Wendroff technique?

b) Explain the terms: errors, numerical dissipation and numerical dispersion.

What is their origin?

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