Fundamentals of Fluid Flow - Concept Map
Conservation Laws in Fluid Mechanics
Related concepts
Conservation of Mass (Continuity Equation)
Sub concepts
- Volume Flow Rate Q
- Cross-sectional Area A
- Velocity v
- Diameter Relationship D₁/D₂
- Incompressible Flow Assumption
Relationship to central
Core principle governing flow rates and velocity changes
Conservation of Energy (Bernoulli Equation)
Sub concepts
- Pressure Head p/γ
- Velocity Head v²/2g
- Elevation Head z
- Energy Grade Line (EGL)
- Hydraulic Grade Line (HGL)
- Head Loss hL
- Pump Head hA
- Turbine Head hE
Relationship to central
Core principle relating pressure, velocity, and elevation
Conservation of Momentum
Sub concepts
- Momentum Rate ρQ(v₂-v₁)
- Force on Control Volume
- Pipe Bends
- Nozzles
- Vanes and Deflectors
Relationship to central
Core principle for force analysis in flowing systems
Power in Flowing Systems
Sub concepts
- Power Formula P = γQH
- Pump Power Input
- Turbine Power Output
- Efficiency η
- Head H
Relationship to central
Application of energy principles to hydraulic machinery
Head Loss Mechanisms
Sub concepts
- Friction Loss hf
- Minor Losses (Fittings)
- Entrance/Exit Losses
- Pipe Roughness
- Reynolds Number
Relationship to central
Critical component of practical energy equation applications
Flow Analysis Tools
Sub concepts
- Energy Grade Line (EGL)
- Hydraulic Grade Line (HGL)
- Total Head Concept
- Graphical Energy Analysis
Relationship to central
Methods and diagrams for visualizing energy behavior
Concept connections
- Conservation of MassConservation of EnergyContinuity provides v₂ needed for velocity head term in Bernoulli equation
- Conservation of MassConservation of MomentumFlow rate Q = Av appears in momentum equation as ρQ(v₂-v₁)
- Conservation of EnergyPower in Flowing SystemsPower P = γQH calculated from total head H derived from energy equation
- Head Loss MechanismsConservation of EnergyHead loss hL is subtracted from energy equation to account for real fluid friction
- Energy Grade LineHydraulic Grade LineHGL = EGL minus velocity head v²/2g at each point
- Pump Head hAConservation of EnergyAdded to LHS of energy equation to increase total head
- Turbine Head hEConservation of EnergySubtracted from LHS of energy equation to extract available energy
- Efficiency ηPower in Flowing SystemsDivides pump input power; multiplies turbine output power
- Reynolds NumberHead Loss MechanismsDetermines friction factor which governs friction loss calculations
- Conservation of MomentumPipe Bends and NozzlesMomentum equation ΣF = ρQ(v₂-v₁) directly calculates forces on deflectors
- Velocity Head v²/2gPressure Head p/γTrade-off in Bernoulli: increased velocity causes pressure decrease
- Elevation Head zConservation of EnergyGravitational potential energy component of total head
- Flow Analysis ToolsEnergy Grade LineEGL graphically represents energy distribution along pipe system
- Flow Analysis ToolsHydraulic Grade LineHGL shows piezometric head (pressure + elevation) without kinetic energy
- Control Volume AnalysisConservation of MomentumMomentum equation derived by applying Newton's second law to control volume
Diagrams
Fundamentals of Fluid Flow - Complete Concept Map
Comprehensive mind map showing the hierarchical organization of all key concepts in fluid flow fundamentals. Organized around three conservation laws (mass, energy, momentum) with supporting topics including power calculations and head loss mechanisms. This map provides the complete conceptual framework for understanding fluid mechanics problems.
Energy Equation Application Process
Step-by-step flowchart for applying the energy equation to solve fluid flow problems. Shows decision points for identifying machines, calculating losses, and solving for unknowns. Essential for exam preparation as it systematizes the problem-solving approach.
Continuity Equation Solution Method
Systematic flowchart for solving continuity equation problems. Addresses single-section and multi-section pipes, showing how to calculate areas, flow rates, and verify solutions. Key for understanding velocity changes in reducing/expanding pipes.
Bernoulli Equation Problem-Solving Framework
Detailed framework for solving Bernoulli equation problems with emphasis on identifying all terms and conditions. Guides students through the decision logic needed to correctly set up and solve for unknowns.
Power Calculation for Pumps and Turbines
Framework for calculating power in hydraulic systems. Distinguishes between pump input power (larger due to inefficiency) and turbine output power (reduced by efficiency). Critical for hydraulic machinery design problems.
Momentum Equation Application for Forces
Step-by-step application of the momentum equation to find forces on pipe bends, nozzles, and other flow deflectors. Essential for understanding how flowing fluids exert forces on boundaries.
Energy Transformation in Hydraulic Systems
State diagram showing the energy transformation journey through a complete hydraulic system, from source through pump, pipeline, to turbine and discharge. Illustrates where energy is added (pump), lost (friction), and extracted (turbine).
Energy Equation Components Breakdown
Pie chart illustrating typical distribution of energy components in a real pipe flow system. Shows that pressure head usually dominates, with significant loss components. Helps students visualize energy balance in practical applications.