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 Reg. No. : B.E. / B.Tec h. DE GRE E EXAMINAT ION, APRIL/ MAY 201 1  Thi rd Seme ste r Mechanical Eng ineeri ng ME 2204 — FLUID MECHANICS AND MACHINERY (Common to Automobile Engineering, Production Engineering and Aeronautical Engineering) (Re g ul ation 2008)  Time : Three hours Maximum : 100 marks Answer ALL questions PART A — (10 × 2 = 20 marks) 1.  Define surface tension and expression its unit. 2.  What is Darey's equation? Identify various terms in the equation. 3.  What is viscosity and give its units? 4.  Disti nguish betw e en a control and dif fere ntial control volume . 5.  Check whether the following equation is dimensionally homogeneous.  gh a Cd Q 2 . = . 6.  Distinguish between Rayleigh's method and Buckingham's - theore m. 7.  Writ e the E uler's equation. 8.  A shaft transmits 150 Kw at 600 rpm. What is the torque in Newton – metres? 9.  Why is the reciprocating pump called a positive displacement pump? 10.  Wha t i s a rotary pump? Give its classif ication. Question Paper Code : 11405     2     1    9               2     1    9               2     1    9  

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PART B — (5 × 16 = 80 marks)

11.  (a) Explain in detail the Newton's law of viscosity. Briefly classify the

fluids based on the density and viscosity. Give the limitations of

applicability of Newton's law of viscosity.

Or

(b) State the law of conservation of man and derive the equation of

continuity in Cartesian coordinates for an incompressible fluid.

Would it alter if the flow were unsteady, highly viscous and

compressible?

12.  (a) A lubricating oil flows in a 10 cm diameter pipe at 1 m/s. Determine

whether the flow is laminar or turbulent. For the lubricating oil2

/1.0   m Ns=µ    and  ρ = 930 kg/ m3. Calculate also transition and

turbulent velocities.

Or

(b) A smooth flat plate with a sharp leading edge is placed along a free

stream of water flowing at 3m/ s. Calculate the distance from the

leading edge and the boundary thickness where the transition from

laminar to turbulent- flow may commence. Assume the density of

water as 1000 kg/m3 and viscosity as 1 centipoise.

13.  (a) What is the significance and the role of the following parameters?

(i) Reynolds number

(ii) Froude number

(iii) Mach number

(iv) Weber number. (16)

Or

(b) An agitator of diameter D rotates at a speed N in a liquid of density

 ρ   and viscosity µ  . Show that the power required to mix the liquid is

expressed by a functional form

 

  

 =

 g 

 D N  ND f  

 D N 

 P  22

53,

µ 

 ρ 

 ρ . (16)

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14.  (a) A gas turbine operates between 1000k and 650 k temperature limitstaking in air 20 kg/ s at 125 m/ s and discharging at 300 m3/ s.Estimate the power developed by the turbine. Given ../995   K  Kg  J C  p =  

Or

(b) Explain in detail about the performance curves for pumps andturbines.(16)

15.  (a) A single acting reciprocatory pump has a plunger of diameter 30 cmand stroke of 20 cm. If the speed of the pumps is 30 rpm and itdelivers to6.5 lit/ s of water, find the coefficient of discharge and the percentageslip of the pump.

Or

(b) Write briefly on the following.

(i) Rotary pumps and their classifications. (8)

(ii) Indicator diagram for reciprocating pump. (8)

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