© fox, pritchard, & mcdonald introduction to fluid mechanics chapter 10 fluid machinery

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© Fox, Pritchard, & McDonald Introduction to Fluid Mechanics Chapter 10 Fluid Machinery

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© Fox, Pritchard, & McDonald

Introduction to Fluid Mechanics

Chapter 10

Fluid Machinery

© Fox, Pritchard, & McDonald

Main Topics

Introduction and Classification of Fluid Machines

Turbomachinery AnalysisPerformance CharacteristicsApplications to Fuid Systems

© Fox, Pritchard, & McDonald

Introduction and Classification of Fluid Machines

Positive DisplacementTurbomachines• Radial-Flow (Centrifugal)• Axial-Flow• Mixed-Flow

© Fox, Pritchard, & McDonald

Introduction and Classification of Fluid Machines

Machines for Doing Work on a Fluid• Pumps• Fans• Blowers• Compressors

© Fox, Pritchard, & McDonald

Introduction and Classification of Fluid Machines

Machines for Doing Work on a Fluid

© Fox, Pritchard, & McDonald

Introduction and Classification of Fluid Machines

Machines for Doing Work on a Fluid

© Fox, Pritchard, & McDonald

Introduction and Classification of Fluid Machines

Machines for Extracting Work (Power) from a Fluid• Hydraulic Turbines (Impulse and Reaction)• Gas Turbines (Impulse and Reaction)

© Fox, Pritchard, & McDonald

Introduction and Classification of Fluid Machines

Machines for Extracting Work (Power) from a Fluid

© Fox, Pritchard, & McDonald

Turbomachinery AnalysisThe Angular Momentum Principle

Apply to Control Volume:

© Fox, Pritchard, & McDonald

Turbomachinery Analysis

Euler Turbomachine Equation

Mechanical Power:

Theoretical Head:

© Fox, Pritchard, & McDonald

Turbomachinery Analysis

Velocity Diagrams

© Fox, Pritchard, & McDonald

Turbomachinery AnalysisExample: Idealized Centrifugal Pump

• Negligible torque due to surface forces (viscous and pressure).• Inlet and exit flow tangent to blades.• Uniform flow at inlet and exit.• Zero inlet tangential velocity

© Fox, Pritchard, & McDonald

Turbomachinery AnalysisExample: Idealized Centrifugal Pump

(Continued)

Head Equation:

Shutoff Head:

© Fox, Pritchard, & McDonald

Turbomachinery AnalysisExample: Idealized Centrifugal Pump

(Continued)

© Fox, Pritchard, & McDonald

Turbomachinery Analysis

Machines for Doing Work on a Fluid

Hydraulic Power:

Pump Efficiency:

© Fox, Pritchard, & McDonald

Turbomachinery AnalysisMachines for Extracting Work (Power)

from a Fluid

Hydraulic Power:

Turbine Efficiency:

© Fox, Pritchard, & McDonald

Performance Characteristics

Machines for Doing Work on a Fluid

© Fox, Pritchard, & McDonald

Performance CharacteristicsMachines for Extracting Work (Power)

from a Fluid

© Fox, Pritchard, & McDonald

Performance Characteristics

Dimensional Analysis and Specific Speed

Flow Coefficient:

Head Coefficient:

Power Coefficient:

© Fox, Pritchard, & McDonald

Performance Characteristics

Dimensional Analysis and Specific Speed

Torque Coefficient:

© Fox, Pritchard, & McDonald

Performance Characteristics

Dimensional Analysis and Specific Speed

Specific Speed:

Specific Speed(Customary Units):

Specific Speed(Customary Units):

© Fox, Pritchard, & McDonald

Performance Characteristics

Dimensional Analysis and Specific Speed

© Fox, Pritchard, & McDonald

Performance Characteristics

Similarity Rules

For Dynamic Similarity:

… and …

… so …

© Fox, Pritchard, & McDonald

Applications to Fluid Systems

Machines for Doing Work on a Fluid

© Fox, Pritchard, & McDonald

Applications to Fluid Systems

Machines for Doing Work on a Fluid• Pump Wear

© Fox, Pritchard, & McDonald

Applications to Fluid Systems

Machines for Doing Work on a Fluid• Pumps in Series

© Fox, Pritchard, & McDonald

Applications to Fluid Systems

Machines for Doing Work on a Fluid• Pumps in Parallel

© Fox, Pritchard, & McDonald

Applications to Fluid Systems

Machines for Doing Work on a Fluid• Fans, Blowers, and Compressors

© Fox, Pritchard, & McDonald

Applications to Fluid SystemsMachines for Doing Work on a Fluid

• Fans, Blowers, and Compressors

© Fox, Pritchard, & McDonald

Applications to Fluid Systems

Machines for Doing Work on a Fluid• Fans, Blowers, and Compressors

© Fox, Pritchard, & McDonald

Applications to Fluid SystemsMachines for Doing Work on a Fluid

• Positive-Displacement Pumps

© Fox, Pritchard, & McDonald

Applications to Fluid SystemsMachines for Doing Work on a Fluid

• Propellers

Speed of Advance Coefficient:

Thrust, Torque, Power Coefficients, and Propeller Efficiency

© Fox, Pritchard, & McDonald

Applications to Fluid SystemsMachines for Extracting Work (Power) from a Fluid

• Hydraulic Turbines• Wind-Power Machines