STUPIDSID
Answer any one question from Q1 and Q2
1 (a)
Explain the role of Fluid Mechanics and its practical applications for obtaining solution to practical flow problems.
3 M
1 (b)
Explain with suitable examples application of viscosity in every day activity and design of engineering system.
3 M
1 (c)
Differentiate between surface tension and capillarity. Give practical example of each. Derive the relation showing the capillary rise or fall depends on surface tension.
6 M
Answer any one question from Q3 and Q4
2 (a)
A 10 mm glass tube is inserted into trough containing mercury. Find the capillary effect when the contact angle is:
i) 180° and
ii) 110°
Take surface tension of mercury in contact with air as 0.51 N/m.
i) 180° and
ii) 110°
Take surface tension of mercury in contact with air as 0.51 N/m.
3 M
2 (b)
What is total pressure and centre of pressure? Derive the condition for total pressure on vertically immersed surface.
3 M
2 (c)
Conduct a dimensional analysis by Buckingham π theorem and prove that the pressure drop in a venturimeter can be expressed by: \[ P= \rho V^2 f \left (\dfrac {d} {D} \right ). \] Where, P=pressure drop, V=velocity at inlet, ρ = fluid density, D and d diameter at inlet and throat.
6 M
3 (a)
Explain:
i) Velocity potential function φ and
ii) Stream function ψ
and what are their properties. Show that equipotential and streamline meet orthogonally.
i) Velocity potential function φ and
ii) Stream function ψ
and what are their properties. Show that equipotential and streamline meet orthogonally.
6 M
3 (b)
Describe tht flow given by the expression below:
i) ψ=12y2+10,
ii) ψ=3s+12,
iii) ψ=5x-4y2.
i) ψ=12y2+10,
ii) ψ=3s+12,
iii) ψ=5x-4y2.
6 M
4 (a)
A venturimeter is to be fitted to a pipe of area 0.01767 m2. A maximum discharge of 5 m3 /min under a pressure of 4.5 m flows through the pipe. Find the diameter at the throat for no negative pressure at the throat.
6 M
4 (b)
What is the difference between orifice and mouthpiece? Show that the discharge through an external mouthpiece is given by Q=0.855 a √2 gH, where a =area of mouthpiece and H=Height of liquid above mouthpiece.
6 M
Answer any one question from Q5 and Q6
5 (a) (i)
Write a short notes on :-
Rotameter
Write a short notes on :-
Rotameter
3 M
5 (a) (ii)
Nozzlemeter
3 M
5 (b)
Explain with sketch the development of boundary layer of flat plate. Explain the phenomenon of boundary layer separation and any one method to control it.
7 M
6 (a)
Derive the expression for velocity distribution for generalized coquette flow (one plate stationary and other moving) and from it develop equation for discharge and shear stress.
7 M
6 (b)
Derive expression for boundary layer thickness, boundary shear stress and friction drag in a turbulent boundary layer.
6 M
Answer any one question from Q7 and Q8
7 (a)
What is turbulent flow and its characteristics ? Explain Isotropic turbulence, wall turbulence and free turbulence.
7 M
7 (b)
What is roughening of pipe with age? How is roughness of old pipe determined? Explain Nikuradse? experiment with artificially roughened pipe and what are their significance?
6 M
8 (a)
Derive the Darcy-Weishbach equation for friction loss in pipe.
6 M
8 (b)
Three pipes of diameter 10 cm each, and having length 25 m, 50 m and 25 m are joined together in series. Water flows through this pipe at 2.15 m/s. The central pipe of length 50 m is replaced by 20 cm diameter pipe. The change in section due to replacement at both ends are sudden. Assuming friction factor f = 0.032 and Cc is 0.62, find the net saving in head.
7 M
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