Download - Calulation Pelton TURBINE

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ROTATION ()

Formula : To convert the unit of rpm to radians per minute is given by,

rpm= ( revolution/min) = (x 2radian)/ min.

So, = RPM x 2/60

No CalculationRotation,

011067.4 x 2 /60111.777 rad/s

028848.01 x 2 /60926.56 rad/s

038563.5 x 2 / 60896.767 rad/s

048085.5 x 2 /60846.711 rad/s

057732.1 x 2 /60809.7 rad/s

067045.5 x 2 /60737.808 rad/s

076302.4 x 2 /60659.985 rad/s

085568.3 x 2 /60583.111 rad/s

094602.10 x 2 /60481.980 rad/s

102742.9 x 2 /60287.236 rad/s

111632.9 x 2 /60170.996 rad/s

121543.4 x 2 /60161.62 rad/s

min.

So, = RPM x 2/60

TOTAL FORCE , NFormula : (W2 W1)1) 02) 1.8 1.0 = 0.83) 2.3 1.5 = 0.84) 3.1 2.0 = 1.15) 3.7 2.5 = 1.26) 4.6 3.0 = 1.67) 5.4 3.5 = 1.98) 6.3 4.0 = 2.39) 7.1 4.5 = 2.610) 7.9 5.0 = 2.911) 8.8 5.5 = 3.312) 9.4 6 = 3.4

VOLUME (L) VOLUME (m3)

6 liter 0.006m3

FLOWRATE , Q (m3/s)

Formula : volume (m3) Time (s)

1. Q = 0.006 m3 0.23 s= 0.0261 m3/s2. Q = 0.006 m3 0.24 s= 0.025 m3/s3. Q = 0.006 m3 0.24 s= 0.025 m3/s4. Q = 0.006 m3 0.25 s= 0.0240 m3/s5. Q = 0.006 m3 0.26 s= 0.0231 m3/s6. Q = 0.006 m3 0.27 s= 0.0222 m3/s7. Q = 0.006 m3 0.28 s= 0.0214 m3/s8. Q = 0.006 m3 0.29 s= 0.0207 m3/s

9. Q = 0.006 m3 0.30 s= 0.0200 m3/s10. Q = 0.004 m3 0.31 s= 0.0194 m3/s11. Q = 0.006 m3 0.31 s= 0.0194 m3/s12. Q = 0.006 m3 0.32 s= 0.0187 m3/s

MECHANICAL POWER, Pm

Pm (watt) = Rotation (, Nm) Circular velocity (, rad/sec)So,1. 0 Nm x 111.777 rad/s = 02. 0.024 Nm x 926.56rad/s = 22.237 watt3. 0.024 Nm x 896.767rad/s = 21.522 watt4. 0.033 Nm x 846.711rad/s= 27.941 watt5. 0.036 Nm x 809.70rad/s = 29.149watt6. 0.048 Nm x 737.808rad/s = 35.414 watt7. 0.057 Nm x 659.985rad/s = 37.619 watt8. 0.069 Nm x 583.111rad/s = 40.234 watt9. 0.078 Nm x 481.980rad/s = 37.590 watt10. 0.087 Nm x 287.236rad/s = 24.989 watt11. 0.099 Nm x 170.996rad/s = 16.928 watt12. 0.102 Nm x 161.62rad/s = 16.485watt

WATER POWER , Pw

Formule :

Where, is water density (100kg/m3) or 1000, is gravity constant (9.81m/s2), is head at inlet point (m) and is flowrate (m3/s).

1. 1000 x 9.81 x 24x 0.0261 m3/s = 6144.98 watt2. 1000 x 9.81 x 24x 0.0250 m3/s = 5886.00 watt3. 1000 x 9.81 x 24x 0.0250 m3/s= 5886.00 watt4. 1000 x 9.81 x 24x 0.0240 m3/s = 5650.56 watt5. 1000 x 9.81 x 24x 0.0231 m3/s = 5438.66 watt6. 1000 x 9.81 x 24x 0.0222 m3/s = 5226.77 watt7. 1000 x 9.81 x 24x 0.0214 m3/s = 5038.42 watt8. 1000 x 9.81 x 24x 0.0207 m3/s = 4873.61watt9. 1000 x 9.81 x 24x 0.0200 m3/s = 4708.80watt10. 1000 x 9.81 x 24x 0.0194 m3/s = 4567.54watt11. 1000 x 9.81 x 24x 0.0194 m3/s = 4567.54watt12. 1000 x 9.81 x 24x 0.0187 m3/s = 4402.73watt

EFFICIENCY,

Wheel efficiency, .

1.

= 0 x 100 6144.98= 02.

= 22.237 watt x 100 5886 watt=0.378%3.

= 21.522 watt x 100 5886 watt=0.366%4.

= 27.941 watt x 100 5650.56 watt=0.494%5.

= 29.149 watt x 100 5438.66 watt=0.536%6.

= 35.414watt x 100 5226.77 watt=0.678%7.

= 37.619 watt x 100 5038.42 watt=0,747%8.

= 40.234 watt x 100 4873.61watt =0.826%9.

= 37.590watt x 100 4708.8watt=0.798%10.

= 24.989 watt x 100 5567.54watt=0.449%11.

= 16.928 watt x 100 5567.54watt=0.304%12.

= 16.485 watt x 100 4402.75watt =0.374%