V. Fundamentals of Fluid Dynamics Contents 1. State of Stress in
Moving Fluid 2. Equations of Motion 3. Bernoulli Equation 1. State
of Stress in Moving Fluid State of Stress in Static Fluid State of
Stress in Moving Fluid Body force and inertia force are of higher
order Mean pressure Constitutive Equation of Newtonian Fluid 2.
Equation of Motion External force acting on the control volume Net
inflow of momentum through the surface of control volume Increase
of momentum within the control volume per unit time Conservation of
Momentum Increase of momentum within the control volume Net inflow
of (x) momentum through the surface of control volume Net inflow of
momentum through the surface of control volume External (x) force
acting on the control volume Conservation of Momentum Equation of
Motion Navier-Stokes Equation Navier-Stokes Equations Governing
Equations of Incompressible Fluid Motion Governing Equations of
Static Fluid Automatically satisfied Governing Equations of Ideal
Fluid Flows Euler Equation 3. Bernolli Equation Bernoulli Equation
for Irrotational Flows Basic Assumptions: Fluid is inviscid Fluid
is incompressible Force has potential Flow is irrotational
Bernoulli Equation for Irrotational Flows For steady flow under
gravity In static fluid under gravity Bernoulli Equation for Steady
Flows Basic Assumptions: Fluid is inviscid Fluid is incompressible
Force has potential Flow is steady Bernoulli Equation for Steady
Flows For flows under gravity Velocity head Pressure head Position
head Piezometric head Kinetic Energy Pressure Potential Energy
Gravity Potential Energy 1 2 L
