Centrifugal Pump

Can anyone help me with the fluid mechanics problem please?

Explain, in detail, the relationship when impeller diameter varies in centrifugal pumps for capacity, total head and power. Do not merely give the equations but explain them. Use examples if you need

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Goulds 4SH1K32B0 Centrifugal PumpSSH C7 1 2 HP Plus Sharp Ball Valve
Goulds 4SH1K32B0 Centrifugal PumpSSH C7 1 2 HP Plus Sharp Ball Valve
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DC 12V 55 Gallon 8GPM Centrifugal Drum Barrel Fuel Transfer Pump Kit 12 Volt
DC 12V 55 Gallon 8GPM Centrifugal Drum Barrel Fuel Transfer Pump Kit 12 Volt
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Unused Surplus Torishima CDM 300x250 Centrifugal Pump With 200 HP Motor
Unused Surplus Torishima CDM 300x250 Centrifugal Pump With 200 HP Motor
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PACIFIC SVCTB CENTRIFUGAL PUMP 4 DISCHARGE 6 SUCTION
PACIFIC SVCTB CENTRIFUGAL PUMP 4 DISCHARGE 6 SUCTION
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55 Gallon 8GPM 12V DC Centrifugal Drum Barrel Transfer Fuel Pump Kit 55G
55 Gallon 8GPM 12V DC Centrifugal Drum Barrel Transfer Fuel Pump Kit 55G
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LaBour A90 LV 6x8x14 Centrifugal Pump With 100 HP Motor
LaBour A90 LV 6x8x14 Centrifugal Pump With 100 HP Motor
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Worthington 12LA 2 Centrifugal Pump 5000 GPM 140 TDH 1450 RPM
Worthington 12LA 2 Centrifugal Pump 5000 GPM 140 TDH 1450 RPM
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Neiman 5 M TYPE S Centrifugal Pump
Neiman 5 M TYPE S Centrifugal Pump
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Peerless 10AE20 Centrifugal Pump Packaged With Cummins NTC400 Diesel Engine
Peerless 10AE20 Centrifugal Pump Packaged With Cummins NTC400 Diesel Engine
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Berkeley B8GQBM Centrifugal Pump Packaged With Detroit 4 71 Diesel Engine
Berkeley B8GQBM Centrifugal Pump Packaged With Detroit 4 71 Diesel Engine
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Armstrong Pumps 3F 4030 BF Centrifugal Pump
Armstrong Pumps 3F 4030 BF Centrifugal Pump
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American Marsh 3x4x13 Centrifugal Pump
American Marsh 3x4x13 Centrifugal Pump
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Worthington 12LN21 Centrifugal Pump 8700 GPM 112 TDH 1175 RPM
Worthington 12LN21 Centrifugal Pump 8700 GPM 112 TDH 1175 RPM
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Goulds 3196 1x2 10 Centrifugal Pump With 20HP Electric Motor
Goulds 3196 1x2 10 Centrifugal Pump With 20HP Electric Motor
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Ingersoll Rand 4x3x13 VOC Centrifugal Pump
Ingersoll Rand 4x3x13 VOC Centrifugal Pump
$2,500.00
12V DC Centrifugal Drum Barrel Fuel Transfer Pump 55 Gallon 8GPM 12 Volt Kit
12V DC Centrifugal Drum Barrel Fuel Transfer Pump 55 Gallon 8GPM 12 Volt Kit
$58.99
7400 55 gallon centrifugal drum pump kit polypropylene 110v
7400 55 gallon centrifugal drum pump kit polypropylene 110v
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55 Gallon 12V DC Centrifugal Drum Barrel Fuel Transfer Pump Kit 8GPM 12 Volt
55 Gallon 12V DC Centrifugal Drum Barrel Fuel Transfer Pump Kit 8GPM 12 Volt
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Goulds Centrifugal Pump 3196 15X3 10 Centrifugal Pump 316 Stainless 5hp
Goulds Centrifugal Pump 3196 15X3 10 Centrifugal Pump 316 Stainless 5hp
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PACIFIC JHMB 6 STAGE CENTRIFUGAL PUMP
PACIFIC JHMB 6 STAGE CENTRIFUGAL PUMP
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7400 55 gallon centrifugal drum pump kit polypropylene 110v
7400 55 gallon centrifugal drum pump kit polypropylene 110v
$1,781.60
USED UNION 50 HP 3 X 4 X 13 CENTRIFUGAL PUMP MODEL RS P 1B 330 GPM OC625
USED UNION 50 HP 3 X 4 X 13 CENTRIFUGAL PUMP MODEL RS P 1B 330 GPM OC625
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Allis Chalmers F4D1 516 3X4 10 Stainless Steel Centrifugal Pump
Allis Chalmers F4D1 516 3X4 10 Stainless Steel Centrifugal Pump
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Goulds 4x6 13 Centrifugal Pump
Goulds 4x6 13 Centrifugal Pump
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Sunflo P1 LQB Centrifugal Pump
Sunflo P1 LQB Centrifugal Pump
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Sulzer Bingham 2 x 3 x 75 CVA Centrifugal Pump
Sulzer Bingham 2 x 3 x 75 CVA Centrifugal Pump
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Allis Chalmers Single Stage Double Suction Centrifugal Pump 10000 GPM 145 TDH
Allis Chalmers Single Stage Double Suction Centrifugal Pump 10000 GPM 145 TDH
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Byron Jackson 12MH S Single Stage Centrifugal Pump 5000GPM125TDH 975RPM
Byron Jackson 12MH S Single Stage Centrifugal Pump 5000GPM125TDH 975RPM
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Goulds 3175 8x6 Centrifugal Pump With 16 7 8 SS Impeller
Goulds 3175 8x6 Centrifugal Pump With 16 7 8 SS Impeller
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852859 NBP 80BFC CH PAP Yamada Pump Diaphragm Centrifugal Moyno Myers Drill Rig
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Goulds 3196 4x6 13 Centrifugal Pump Material Alloy 20
Goulds 3196 4x6 13 Centrifugal Pump Material Alloy 20
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