JNTU B.Tech II MECHANICS OF FLUIDS Previous Question Paper (May - 2019 - R13)

Define the terms: metacentre and metacentric height as applied to a floating body.

Define the following terms: i) Density ii) Specific weight iii) Surface tension iv) Capillarity

List an equation of motion for vortex flow. From the equation, obtain expression for free surface of a forced vortex.

Show that the lines of constant stream function and velocity potential must intersect orthogonally.

Define surface and body forces.

What will happen if the fluid pressure at the throat of a venturimeter is too low or in the divergent portion too high? What are the taper angles of the convergent and divergent portions?

Describe the qualitative description of boundary layer thickness on a flat plate.

Describe the velocity profile concept in boundary layer thickness.

How do you find major losses in pipe flow?

Show that the angle of swing of vertical hinged plate is given by sin θ = aV² / W.

Derive an expression for the buoyancy force on a body floating on the surface of separation between two immiscible fluids in terms of the specific weights and the volumes displaced by the two fluids.

Calculate the mass density, specific weight, specific gravity and specific volume of an oil, 10m³ of which weighs 70kN.

Define vapour pressure, capillarity, compressibility and surface tension. Also explain the practical significance of them.

A pipe 200 m long has a slope of 1 in 100 and tapers from 0.2 m diameter at the upper end to 0.1 m diameter at the lower end. The flow rate of water through the pipe is 2100 liter per minutes. If the pressure at the upper end is 400 kPa, find the pressure at the lower end. Neglect losses.

Determine the equation of streamline for a two-dimensional flow passing through the point(1, 3), for which the velocity components are u = a and v = a, where a is any non-zero constant. Sketch the streamline in x-y co-ordinates.

Write down the continuity equation for a steady, one-dimensional incompressible flow. How the equation will get modified if the flow is compressible?

Derive an expression for continuity equation in differential form in three dimension.

Derive an equation of motion for vortex flow. From the equation, obtain expression for free surface of a forced vortex.

In a pitot-static tube, stagnation pressure and static pressure are 6kPa and 1kPa respectively. Calculate the velocity of the flow of air assuming the coefficient of the tube equal to 0.98 and the air density as 1.22 kg/m³.

Draw a neat sketch of venturimeter. State why the length of divergent cone is made longer?

Draw a neat figure of orifice meter and show clearly: i) The datum line ii) Hydraulic grade line and iii) Total energy line for it.

Prove that, in a laminar flow through circular pipe, the average friction factor is inversely proportional to Reynolds number of flow.

Starting from the equation for mixing length, arrive at the Karman-Prandtl velocity distribution equation for hydrodynamically smooth and rough pipes. Also arrive at the common equation for smooth and rough pipes in terms of the average flow velocity.

Explain clearly what you understand by the term boundary layer. Give its importance in the field of engineering.

Derive Prandtl boundary layer equations for steady two dimensional laminar incompressible flow.

Explain the concept of large Reynold's number flow and Prandtl's boundary layer hypothesis.

Discuss the Reynold's experiment by using dye to determine laminar, transition and turbulent flow condition along with sketch the experiment set up.

Derive an expression for Darcy-Weisbach formula to determine the head loss due to friction. Give the expression for relation between friction factor and Reynolds number for laminar and turbulent flow.

Explain the significance of Prandtl boundary layer equation in comparison with Navier-Stokes equations.

Explain the major and minor losses in pipes along with their derivations.