Properties of Fluids - Concept Map
Properties of Fluids
Related concepts
Density and Specific Weight
Sub concepts
- Density (ρ)
- Specific Weight (γ)
- Specific Gravity (s)
- Specific Volume (1/ρ)
- Relationship: γ = ρg
Relationship to central
Fundamental properties defining mass and weight distribution in fluids
Viscosity
Sub concepts
- Dynamic Viscosity (μ)
- Kinematic Viscosity (ν)
- Newton's Law of Viscosity
- Newtonian vs Non-Newtonian Fluids
- Temperature Effects on Viscosity
Relationship to central
Resistance to flow and shear deformation in fluids
Surface Tension and Capillarity
Sub concepts
- Surface Tension (σ)
- Contact Angle (θ)
- Capillary Rise Formula
- Capillary Depression
- Adhesion and Cohesion
Relationship to central
Interface phenomena affecting fluid behavior in small spaces
Compressibility
Sub concepts
- Bulk Modulus of Elasticity (E_B)
- Liquid Incompressibility
- Compressibility Effects
- Pressure-Volume Relationship
Relationship to central
Ability of fluids to change volume under pressure
Vapor Pressure
Sub concepts
- Definition and Significance
- Cavitation Phenomenon
- Temperature Dependence
- Saturation Pressure
- NPSH (Net Positive Suction Head)
Relationship to central
Pressure condition causing phase change and cavitation
Concept connections
- DensitySpecific Weightγ = ρg; specific weight directly proportional to density multiplied by gravitational acceleration
- Specific WeightSpecific Gravitys = γ/γ_water; dimensionless ratio relating fluid weight to standard water reference
- Dynamic ViscosityKinematic Viscosityν = μ/ρ; kinematic viscosity is dynamic viscosity divided by density
- ViscosityShear Stressτ = μ(dv/dy); Newton's law directly links viscosity to shear stress gradient
- Surface TensionCapillary Riseh = 4σcosθ/(γd); surface tension drives capillary phenomenon in small tubes
- Contact AngleCapillary Rise or Depressionθ < 90° causes rise; θ > 90° causes depression; determines direction and magnitude
- Bulk ModulusCompressibilityE_B = dp/(dρ/ρ); inverse relationship—larger bulk modulus means less compressible
- Vapor PressureCavitationCavitation initiates when local pressure drops to vapor pressure; direct cause-effect
- DensityPressure CalculationsDensity determines hydrostatic pressure magnitude; P = ρgh fundamental in statics
- ViscosityEnergy Loss in PipesHigher viscosity increases friction losses; Hagen-Poiseuille and Darcy-Weisbach depend on μ
- TemperatureViscosityViscosity decreases exponentially with temperature increase for most liquids
- TemperatureVapor PressureVapor pressure increases non-linearly with temperature; critical for pump suction conditions
- Specific WeightHydrostatic ForceF = γhA; hydrostatic force proportional to specific weight and depth
- Kinematic ViscosityReynolds NumberRe = vD/ν; kinematic viscosity determines laminar-turbulent transition
- CompressibilityPressure WavesBulk modulus affects acoustic wave velocity in fluid; a = √(E_B/ρ)
- Surface TensionBubble FormationSurface tension resists bubble formation; influences cavitation bubble dynamics
- Vapor PressureNPSH RequirementNPSH_required designed to maintain pressure above vapor pressure; prevents cavitation
- Newtonian Fluid PropertyDynamic Viscosity ConstantDefining characteristic: μ independent of shear rate; permits linear stress-strain relationship
Diagrams
Properties of Fluids - Comprehensive Concept Hierarchy
Complete hierarchical mind map showing all major properties of fluids and their subdivisions, demonstrating how density/weight, viscosity, surface tension, compressibility, and vapor pressure form the foundational framework for fluid mechanics analysis.
Density-Specific Weight-Specific Gravity Calculation Flow
Step-by-step flowchart showing the calculation relationships between density, specific weight, and specific gravity—essential for determining hydrostatic pressures and forces in fluid statics problems.
Viscosity Analysis and Application Decision Tree
Decision flowchart for analyzing viscosity in different fluid types and determining whether to use dynamic or kinematic viscosity based on the specific problem requirements.
Capillary Rise and Depression Analysis
Systematic procedure for calculating capillary rise or depression in small tubes, showing the role of surface tension, contact angle, and tube diameter in determining fluid height changes.
Cavitation Risk Assessment and NPSH Analysis
Diagnostic flowchart for assessing cavitation risk in pumping systems by comparing inlet pressure against vapor pressure and implementing NPSH checks to prevent equipment failure.
Compressibility Assessment and Incompressibility Assumption
Decision pathway for determining whether a fluid can be treated as incompressible or requires compressibility corrections based on bulk modulus values and pressure changes.
Relative Importance of Fluid Properties in Common Applications
Proportional significance of major fluid properties in practical hydraulic engineering design—viscosity dominates flow analysis, while density/weight are fundamental for static pressure, and vapor pressure/compressibility address critical failure modes.