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aChandra Venkataraman, 2020
[Duration 2hrs; maximum marks 50; open book Fox, McDonald – F18; Good luck! Instructions: ** SEND ALL ANSWER SCRIPT FILES AS ATTACHMENTS TO A SINGLE "REPLY" TO EMAIL IN WHICH YOU GOT THE QUESTION PAPER ; ELSE YOUR EXAM WILL NOT BE GRADED ** ANY CHEATING FROM AN INTERNET SOURCE OR EACH OTHER, WILL LEAD TO AWARD OF ZERO MARKS, THEREFORE AWARD OF FR GRADE ** Name your pdf answer script CL254_MUE_yourrollno. If you set up EXCEL files, name them as suggested in the questions below.] Q1 Multiple choice questions (show all working – answers without working will receive ZERO marks; 2 marks each, total 20 marks) i) The viscosity μ of a fluid primarily depends on: a) density b) temperature c) pressure d) velocity e) surface tension ii) Two parallel plates are separated by a 5-mm-thick layer of oil of specific gravity 0.80 and kinematic viscosity 1.25E−4 m^2 /s. One moves at 4 m/s and the other is fixed. What is the average shear stress in the oil? a) 50 Pa b) 65 Pa c) 80 Pa d) 150 Pa e) 200 Pa iii) A tank of water (SG = 1.0) has a gate in its vertical wall. The gate is 5 m high and 3 m wide and its top edge is 2 m below the surface. What is the hydrostatic force on the gate? a) 661 kN b) 870 kN c) 1011 kN d) 1440 kN e) 1890 kN iv) Water exits from a converging nozzle, connected to a horizontal pipe, into atmospheric pressure of 101 kPa. If the exit velocity is V = 8 m/s and friction is neglected, what is the axial flange force required to keep the nozzle attached to the pipe? a) 5 N b) 11 N c) 17 N d) 22 N e) 36 N v) A stream flows at velocity U past a body of length L and causes a force F on the body. If F depends only upon U, L and fluid viscosity μ, then F must be proportional to: a) ρUL/μ b) ρU2L2 c) μUL d) μU/L e) UL/μ vi) Water at 20°C flows through a straight, smooth pipe at 0.06 m^3 /h. Calculate the approximate pipe diameter for which transition to turbulence occurs: a) 1 cm b) 1.45 cm c) 2.68 cm d) 3.55 cm e) 8.54 cm vii) Oil (μ = 0.1 kg/(m⋅s), SG = 0.9) flows through a long, straight, smooth 5 - cm dia pipe at 14 m^3 /h. Calculate the approximate pressure drop per meter: a) 10.2 kPa b) 2.5 kPa c) 1050 Pa d) 170 Pa e) 6 kPa viii) Sea-level standard air at 4 m/s flows parallel to a thin flat plate. Estimate the boundary-layer thickness at x = 60 cm from the leading edge: a) 1.8 mm b) 3.2 mm c) 5.7 mm d) 7.5 mm e) 15.4 mm ix) A dust particle of density 2600 kg/m^3 , satisfies Stokes drag law, and settles at 1.5 mm/s in air at 20°C and 1 atm. What is its approximate diameter? a) 2.6 μ m b) 4.4 μ m c) 8.3 μ m d) 12.8 μ m e) 20.3 μ m
aChandra Venkataraman, 2020 x) What is the technical classification of a household fan? a) axial-flow turbine b) positive displacement pump c) double impeller d) jet pump e) axial-flow fan Q [IMP: Either use a calculator or set up a worksheet file, named CL254_MUE_Q2_yourrollno] Consider a vane with a turning angle of 120 deg and exit area of 0.008 m^2 , connected to a frictionless moving cart. The vane receives a jet of water leaving a nozzle at 50 m/s. Calculate the force needed to maintain the vane moving at a constant speed of U - 20 m/s away from the jet. State or write: (a) what is given and what you need to find [2] (b) all assumptions [2] (c) the basic equations with their description [2] (d) steps in deriving the algebraic expressions for force(s) [5] (e) the calculated magnitudes of the force(s). [4] Q3. [IMP: Either use a calculator or set up a worksheet file, named CL254_MUE_Q3_yourrollno. Email solution as part of a pdf or as a separate xls file] A reservoir containing kerosene is attached to fully rough horizontal pipe (e=2mm) of 50m length. This pipe of inside diameter of 100mm is attached to the reservoir. A pump is attached to the end of the pipe to pump kerosene into this constant level reservoir of 5m depth at volume flow rates of 0.005-0.05m^3 /s. a) Calculate if this in laminar or turbulent flow, what is the value of α? [3] b) What is the value of friction factor according to moody plot for various flowrates? Calculate the friction factor for two flow rates with the friction-factor formula. [4] c) Calculate and show as a table the gauge pressure required v/s flow rate (Given: μ=1.92×10-^3 Ns/m^2 , ρ=800kg/m^3 ) [4] d) Plot the gauge pressure required v/s flow rate (Given: μ=1.92×10-^3 Ns/m^2 , ρ=800kg/m^3 ). [4]