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    Department of Mechanical and Industrial Engineering: MIN-304: Fluid Machines Mid-Term Examination

    Uploaded by

    Saifullah Ahmad
    This document contains a 4 question midterm exam for a fluid machines course. The questions cover topics like: 1) Calculating inlet and outlet blade angles and theoretical head developed by an axial flow fan. 2) Estimating values like Euler head, hydraulic efficiency, wheel diameter, discharge, and number of jets for a multi-jet Pelton turbine. 3) Finding absolute velocity, inlet guide vane angle, and head loss for a Francis turbine runner. 4) Calculating volume flow rate, power developed by the rotor, and inlet/outlet blade angles for an axial flow turbine.

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    Department of Mechanical and Industrial Engineering: MIN-304: Fluid Machines Mid-Term Examination

    Uploaded by

    Saifullah Ahmad
    24 views1 page
    This document contains a 4 question midterm exam for a fluid machines course. The questions cover topics like: 1) Calculating inlet and outlet blade angles and theoretical head developed by an axial flow fan. 2) Estimating values like Euler head, hydraulic efficiency, wheel diameter, discharge, and number of jets for a multi-jet Pelton turbine. 3) Finding absolute velocity, inlet guide vane angle, and head loss for a Francis turbine runner. 4) Calculating volume flow rate, power developed by the rotor, and inlet/outlet blade angles for an axial flow turbine.

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    MTE2021

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    This document contains a 4 question midterm exam for a fluid machines course. The questions cover topics like: 1) Calculating inlet and outlet blade angles and theoretical head developed by an axial flow fan. 2) Estimating values like Euler head, hydraulic efficiency, wheel diameter, discharge, and number of jets for a multi-jet Pelton turbine. 3) Finding absolute velocity, inlet guide vane angle, and head loss for a Francis turbine runner. 4) Calculating volume flow rate, power developed by the rotor, and inlet/outlet blade angles for an axial flow turbine.

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    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    24 views1 page

    Department of Mechanical and Industrial Engineering: MIN-304: Fluid Machines Mid-Term Examination

    Uploaded by

    Saifullah Ahmad
    This document contains a 4 question midterm exam for a fluid machines course. The questions cover topics like: 1) Calculating inlet and outlet blade angles and theoretical head developed by an axial flow fan. 2) Estimating values like Euler head, hydraulic efficiency, wheel diameter, discharge, and number of jets for a multi-jet Pelton turbine. 3) Finding absolute velocity, inlet guide vane angle, and head loss for a Francis turbine runner. 4) Calculating volume flow rate, power developed by the rotor, and inlet/outlet blade angles for an axial flow turbine.

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    Department of Mechanical and Industrial Engineering

    40 Marks MIN-304: Fluid Machines April 7, 2021


    1.0 hrs Mid-Term Examination 16:30 – 17:30

    1. An axial flow fan has a hub diameter of 1.5 m and a tip diameter of 3 m. It rotates at 08M
    250 rpm and handles an airflow rate of 12.5 cubic meters per second. Assume that
    the velocity of flow is independent of radius and that the energy transfer per unit
    length of the blade is constant. Further, assume ‘no-shock’ condition at the inlet. The
    blade outlet angle at the tip is 20 degrees. Find the blade inlet angles at the hub (β1h)
    and the tip (β1t), and the theoretical head (Euler head), He, developed by the fan.

    2. A multi-jet Pelton turbine is designed to produce 240 MW power at 430 rpm under 12M
    a head of 1500 m. The mechanical efficiency of the turbine is 99%, and the overall
    efficiency is 92%. The ratio of bucket speed to jet-speed can be taken as 0.48. The
    velocity coefficient of the nozzles is 0.985. The jet deflection angle in the buckets is
    165°, and its relative velocity is reduced over the buckets due to friction. Number of
    jets have been chosen such that the ratio the jet diameter to the wheel diameter (dj/D)
    does not exceed 0.055. Estimate (a) the Euler head, (b) the hydraulic efficiency of
    the turbine, (c) the bucket friction coefficient, (d) the wheel diameter D, (e) the
    discharge of the turbine Q, and (f) the number of jets and the jet diameter dj.

    3. A Francis turbine has a runner of diameter 1.4 m which rotates at 430 rpm. Water 10M
    enters the runner without shock with a flow velocity of 9.5 m/s and leaves the runner
    without whirl with an absolute velocity of 7 m/s. The difference between the sum of
    the static and potential heads at entrance to the runner and at the exit from the runner
    is 62 m. Theoretical power developed by the runner is 12.25 MW. The flow rate
    through the turbine is 12 m3/s for a net head of 115 m. Assume no leakage loss. Find
    the following:
    (i) the absolute velocity of water at entry to the runner and the angle of the
    inlet guide vanes
    (ii) the entry angle of the runner blades and
    (iii) the loss of head in the runner.

    4. An axial flow turbine has a net head of 25 m across it. It develops 25 MW when 10M
    running at 150 rpm. The blade hub and tip diameters are 2.0 m and 4.0 m
    respectively. Hydraulic efficiency of the turbine is 95% and overall efficiency is
    92%. Calculate the volume flow rate in (cubic meter per second) and power
    developed by the rotor (in MW). Also calculate the inlet and outlet blade angles at
    the mean radius assuming axial flow at outlet.

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