A vertical shaft Kaplan turbine operating under a head of 9.8 m has a runner diameter...

A vertical shaft Kaplan turbine operating under a head of 9.8 m has a runner diameter of 9.3 m. At the maximum optimum point, the turbine runs at 51.7 rpm and develops 45,000 kW power discharging 535 m 3 /s water. Determine the values of unit speed, unit discharge, unit power and specific speed of the turbine. If the critical value of cavitation coefficient for the runner is 0.95, determine the location of the runner with respect to the tail race water level. The atmospheric and saturated vapour pressures may be taken as 9.8 m and 2.5 m respectively. Will the runner be located below or above the tail race water level? [ 59 . 153 ? u N , 989 . 1 ? u Q , 96 . 16 ? u P , 51 . 632 ? s N , 01 . 2 ? ? s H , below] 2. Calculate the diameter, speed and specific speed of a propeller turbine runner to develop 6,250 kW under a head of 5 m, given that the speed ratio Ku based on the outer diameter is 2.10, flow ratio ?=0.65. Assume the diameter of the boss (hub) is 0.35 times the external diameter of the runner and overall efficiency is 85 %. [D = 5.81 m, N = 68.37 rpm, Ns= 722.93] 3. A hydraulic turbine develops 130 kW at 230 rpm under a head of 16 m. Determine the scale ratio and the speed of a similar machine which will generate 660 kW when working under a head of 25 m. [Scale ratio (D2/D1) = 1.612, N2 = 178.35 rpm]

Expert Solution

samet mamat answered 2 years ago

A Kaplan turbine designed with a shape factor (power specific speed) of 3.0 (rad), a runner tip diameter of 4.4 m, and a hub diameter of 2.0 m, operates with a net head of 20 m and a shaft speed of 150 rev/min.

A Kaplan turbine designed with a shape factor (power specific speed) of 3.0 (rad), a runner tip diameter of 4.4 m, and a hub diameter of 2.0 m, operates with a net head of 20 m and a shaft speed of 150 rev/min. The absolute flow at runner exit is axial. Assuming that the hydraulic efficiency is 90% and the mechanical efficiency is 99%, determine:The volume flow rate and shaft power output;The relative flow angles at the runner inlet and...

Question 7 An axial flow water Kaplan turbine operates under a head of 2.5 m while...

Question 7 An axial flow water Kaplan turbine operates under a head of 2.5 m while the rotational speed is 75 rpm. The runner tip diameter is 4.8 m and the hub diameter is 2.4 m. The flow rate is 48.5 m3/s and hydraulic efficiency of 93%. Assuming zero whirl at exit, determine: Sketch the inlet and outlet velocity triangles at the MEAN radius and calculate: 1.1 The runner blade inlet and exit angles at mean radius. ANS: +/- 74˚...

A small-scale Kaplan turbine has a power output of 8MW, an available head at turbine entry of 13.4 m, and a rotational speed of 200rev/min.

A small-scale Kaplan turbine has a power output of $8 \mathrm{MW}$, an available head at turbine entry of $13.4 \mathrm{~m}$, and a rotational speed of $200 \mathrm{rev} / \mathrm{min}$. The inlet guide vanes have a length of $1.6 \mathrm{~m}$ and the diameter at the trailing edge surface is $3.1 \mathrm{~m}$. The runner diameter is $2.9 \mathrm{~m}$ and the hub-tip ratio is 0.4. Assuming the hydraulic efficiency is $92 \%$ and the runner design is "free-vortex," determineThe radial and tangential components...

how to calculate a shaft diameter of horizontal wind turbine

A vertical vessel with an internal diameter of 84” has a hemispherical head at the top...

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A reaction turbine whose runner radii are r1 =300 mm, r2 = 150 mm, operates under...

A reaction turbine whose runner radii are r1 =300 mm, r2 = 150 mm, operates under the following conditions; Q = 2.3 m3/s, w = 25 rad/s, α1 = 26 0 , α2 = 83 0 , V1 = 9.3 m/s, V2 = 4.5m/s. for an efficiency of 93 %, find; (i) Torque applied, (ii) Power of fluid and (iii) Head on turbine.

A 3-blade wind turbine with a diameter of 16 m spins at 35 rpm at a...

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A wheel 1.70 m in diameter lies in a vertical plane and rotates with a constant...

A wheel 1.70 m in diameter lies in a vertical plane and rotates with a constant angular acceleration of 4.10 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3° with the horizontal at this time. At t = 2.00 s find the following. (a) the angular speed of the wheel=______ rad/s (b) the tangential speed and the total acceleration of the point...

The propeller shaft of a large ship has an outside diameter of 350 mm and inside...

The propeller shaft of a large ship has an outside diameter of 350 mm and inside diameter 250mm. the shaft is rated for a maximum of shear stress 62 MPa. 1) if the shaft is runnning at 500 rpm what is the maximum power that can be transmitted without exceeding allowable stress. 2) if the rotational speed of the shaft is doubled but the power requirements unchanged what happens to the shear stress in the shaft? calculate valures.

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