FLUID MECHANICS

Sections :

  • Properities of Fluids
    • What is a Fluid?
    • Continuum Hypothesis
    • Viscosity
    • Kinematic Viscosity
    • Density
    • Specific Volume
    • Specific Weight
    • Specific Gravity
    • Pressure
    • Temperature
    • Velocity
    • Ideal Gas Law
    • Bulk Modulus
    • Vapour Pressure
    • Surface Tension
    • Pressure inside a Drop of Fluid
    • Capillary Tube
  • Fluid Statics
    • Fluid Forces
    • Pressure at a Point within a Fluid
    • Equation for Pressure Field
    • Body Forces
    • Total Force
    • Incompressible Fluids
    • Compressible Fluids, Properties of the Atmosphere
    • Measurement of Pressure
    • Manometry
    • Mercury Barometer
    • Piezometer Tube
    • U-tube Manometer
    • Differential U-tube Manometer
    • Hydrostatic Force on a Submerged Surface
    • Center of Pressure
    • Geometric Properties of Common Shapes
    • Hydrostatic Force on a Curved Surface
    • Buoyance and Stability
    • Stability of Immersed and Floating Bodies
  • Control Volume Analysis, Integral Methods
    • Basic Concepts, Velocity
    • Steady and Unsteady Flows
    • One, Two and Three Dimensional Flows
    • Flow Description, Streamline, Pathline, Streakline and Timeline
    • Eulerian and Lagrangian approaches
    • System and Control Volume
    • Differential and Integral Approaches
    • Integral Equations, Basic Laws for Fluid Flow
    • Conservation of Mass
    • Newton’s Second Law of Motion
    • Conservation of Energy
    • Second Law of Thermodynamics
    • Reynolds Transport Theorem
    • Derivation of the Theorem for One-Dimensional Flow
      • Conservation of Mass
      • Steady Flow
      • Incompressible Flow
      • V.dA
    • Application to One-Dimensional Control Volume
      • Momentum Equation
      • Bernoulli Equation
      • Application of Continuity Equation
      • Application of Momentum Equation
      • Body Force
      • Surface Forces
    • Application to moving Control Volumes
    • Equation for Angular Momentum
    • Deformable Control Volumes with non-inertial acceleration
    • Energy Equation
    • Energy Equation for a One-Dimensional Control Volume
    • Low Speed Applications
    • Relationship between Energy and Bernoulii Equation
    • Bernoulii Equation for Aerodynamic Flow
    • Stagnation Pressure
    • Energy Grade Line
    • Kinetic Energy Correction Factor
  • Applications of Integral Methods
    • Flow through a Sharp-edged Orifice
    • Flow through a Nozzle
    • Flow through a Venturi Tube
    • Important Applications of Control Volume Anaysis
    • Measurement of Drag of a Body Immersed in a Fluid
      • Continuity Equation
      • Momentum Equation
    • Jet Impingement on a Surface
    • Forces on a Pipe Bend
    • Froude’s Propeller Theory
      • Continuity Equation
      • Momentum Equation
      • Bernoulli Equation
    • Analysis of Wind Turbine
    • Pressure Loss through a Sudden Expansion
      • Continuity Equation
      • Momentum Equation
      • Bernoulli Equation
    • Measurement of Airspeed
  • Potential Flow Theory
    • Conservation of Mass
    • Continuity Equation in Cylindrical Coordinates
    • Continuity Equation for Steady Flow
    • Continuity Equation for Incompressible Flow
    • Velocity Potential
    • Streamfunction
    • Streamfunction is constant along a Streamline
    • Streamfunction change between two Streamlines is proportional to Volumetric Flow
    • Streamfunction in Polar Coordinates
    • Kinematics of Fluid Motion
    • Translation
    • Linear Deformation
    • Rotation
    • Angular deformation
    • Circulation
    • Occurance of Irrotational or Rotational Flows
    • Simple Examples of Plane Potential Flows
      • Potential Flow in Cartesian Coordinates
      • Equations in Polar Coordinates
      • Uniform Flow
      • Source or Sink
      • Vortex
      • Circulation around a vortex
      • Source-Sink Pair
      • Doublet
      • Superposition of Elementary Flows
      • Uniform Flow and a Source
      • Rankin Oval
      • Flow around a Circular Cylinder
      • Flow about a Lifting Cylinder
      • Stagnation Points for a Lifting Cylinder
      • Surface Pressure Distribution and Lift
      • Magnus Effect
      • Kutta-Joukowsky Theorem
  • Examples of Potential Flow
    • Horizontal Uniform Flow
    • Uniform Flow at 10 degrees Angle of Attack
    • Source or Sink Flow
    • Vortex Flow
    • Source in Horizontal Stream
    • Vortex in Horizontal Stream
    • Source-Sink Pair
    • Source-Sink Pair in Horizontal Stream
    • Doublet
    • Doublet in Horizontal Stream (Circular Cylinder Flow)
    • Rotating Cylinder in Uniform Flow
    • Fast Rotating Cylinder in Uniform Flow
    • Flow in Right Angle Corner
    • Cylinder Flow near Wall (Cylinder Image Flow)
    • Source-Sink Distribution in Uniform Flow (Streamlined Body)
  • Dimensional Analysis
    • Need for Non-Dimensional Numbers
    • Buckingham-Pi Theorem
    • Application of Buckingham-Pi Theorem
    • Importance of Non-Dimensional Numbers
    • Reynolds Number
    • Froude Number
    • Weber Number
    • Pressure Coefficient
    • Drag and Lift Coefficients
    • Table : Important Non-Dimensional Numbers
    • Similitude
    • Geometric Similarity
    • Kinematic Similarity
    • Dynamic Similarity
  • Introduction to Boundary Layers
    • Viscous Effects in External Flows
    • Boundary Layer Flow
    • Laminar and Turbulent Boundary Layers
    • Separation of Flow
    • Drag
    • Drag Coefficient
  • Viscous Flow in Pipes
    • Classification of Flows, Laminar and Turbulent
    • Pressure along a Pipe
    • Fully Developed Laminar Flow in a Pipe
    • Volumetric Flow Rate
    • Correction for Non-horizontal Pipes
    • Energy Considerations, Friction factor
    • Dimensional Analysis
    • Turbulent Flow through Pipes
    • Logarithmic Overlap Law
    • Wall Layer
    • Overlap Layer
    • Outer Layer
    • Power Law Velocity Profile