IGNOU BEY 3 SOLVED ASSIGNMENT

Included:

BEY 3 2025 - English

Assignment -2

(To be done after studying the course material)

Course Code: BEY-003

Course Title: Fluids Mechanics

Assignment Code: BEY-003/TMA/2025

Maximum Marks: 100

Last Date of Submission: May 31, 2025 (For June TEE), September 30, 2025 (For December TEE)

Note:

1. All questions are compulsory.

Q.1 a) A certain mass of a liquid has a volume of 5 m 3 and a weight of 39240. Find the specific weight, specific mass and specific gravity of the liquid.

b) The dynamic viscosity of an oil, used for lubrication between a shaft and sleeve is 6 poise. The shaft is of diameter 0.5m and rotates at 210 rpm. Calculate the power lost in the bearing for a sleeve length of 90 mm. The thickness of the oil film is 1.4 mm.

Q.2 a) State the Newton's law of viscosity. Explain the importance of viscosity in fluid motion. What is the effect of temperature on viscosity of water and that of air.

b) Distinguish between:

i) Steady flow and unsteady flow

ii) Uniform and non-uniform flow

iii) Rotational and irrotational flow and

iv) Laminar and turbulent flow.

Q.3 Find the depth of oil of specific gravity of 0.82 which produces an intensity of pressure equal to 2.5 kN/m². Also find the pressure head in terms of water and mercury.

Q.4 Explain atmospheric pressure. What is the value of atmospheric pressure head in terms of mercury column and in terms of water column?

Q.5 What are the different types of mechanical pressure gauges? With the help of a neat sketch explain the working of a Bourdon's gauge.

Q.6 A rectangular plane surface is 1.5 m wide and 4 m deep. It lies vertically in water. Determine the total pressure and position of the centre of pressure on the plane surface when upper edge is horizontal and (a) coincides with free water surface (b) 3 m below the free water surface.

Q.7 Prove that the vertical component of the resultant force on submerged curved surface is equal to the weight of the liquid supported by the curved surface.

Q.8 Find the volume of the water displaced and position of centre of buoyancy for a wooden block of width 3 m and depth 2 m, when it floats horizontally in water. The density of wooden block is 700 kg/ms³ and its length 7 m.

Q.9 a) Explain in brief the following types of equilibrium of floating bodies:

i) Stable equilibrium

ii) Unstable equilibrium and

iii) Neutral equilibrium

b) Derive an expression for velocity distribution for laminar flow through a circular pipe. Show that the friction coefficient is equal to 16/Re where Re is the Reynolds number.

Q.10 In two dimension flow = 3xy. Prove that the flow is irrotational. Also determine the corresponding velocity potential.

BEY 003 (January 2026 - July 2026) - ENGLISH

Course Code: BEY-003

Course Title: Fluids Mechanics

Assignment Code: BEY-003/TMA/2026

Maximum Marks: 100

Last Date of Submission: May 31, 2026 (For June TEE), September 30, 2026 (For December TEE)

Note:

1. All questions are compulsory.

Q.1

a) Explain the concept of a fluid continuum. Why is this assumption necessary 05 in fluid mechanics?

b) Distinguish between the following with suitable examples (any three): (5)

05

Ideal fluid and real fluid

Steady and unsteady flow

Uniform and non-uniform flow

Compressible and incompressible flow

Q.2a) Define viscosity. Explain Newton's law of viscosity and discuss the physical 05 significance of viscosity in engineering applications.

b) Explain the effect of temperature and pressure on viscosity of liquids and gases with practical examples.

Q.3a) State and explain Pascal's law. Describe two engineering devices based on Pascal's law.

b) Explain pressure measurement in fluids. Compare piezometer, U-tube 05 manometer, and differential manometer.

Q.4a) State Archimedes' principle and explain its importance in the design of ships and submarines.

b) Define metacentric height. Discuss its significance for stable, unstable, and neutral equilibrium of floating bodies.

Q.5a) Explain streamline, pathline, and streakline. Under what condition do they 05 coincide?

b) Explain the equation of continuity. Discuss its physical meaning and engineering applications.

Q.6a) State Bernoulli's theorem. Clearly mention the assumptions involved in its derivation.

b) Discuss practical situations where Bernoulli's theorem fails. How are losses accounted for in real flows?

Q.7a) Explain laminar and turbulent flow. Discuss the role of Reynolds number in

b) Explain different types of losses in pipe flow. Why are minor losses important in short pipelines?

Q.8 a) Explain the concept of boundary layer development over a flat plate. What is boundary layer separation?

b) Differentiate between drag and lift forces. Discuss their significance in aerodynamic and hydraulic structures.

Q.9 a) Explain the principle of dimensional homogeneity. State the Buckingham π-theorem.

b) What is model analysis? Explain the importance of similarity (geometric, kinematic, and dynamic) in hydraulic models.

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