© Fox, Pritchard, & McDonald Introduction to Fluid Mechanics Chapter 5 Introduction to Differential Analysis of Fluid Motion
© Fox, Pritchard, & McDonald Main Topics Conservation of Mass Stream Function for Two-Dimensional Incompressible Flow Motion of a Fluid Particle (Kinematics) Momentum Equation
© Fox, Pritchard, & McDonald Conservation of Mass Basic Law for a System
© Fox, Pritchard, & McDonald Conservation of Mass Rectangular Coordinate System
© Fox, Pritchard, & McDonald Conservation of Mass Rectangular Coordinate System
© Fox, Pritchard, & McDonald Conservation of Mass Rectangular Coordinate System “Continuity Equation”
© Fox, Pritchard, & McDonald Conservation of Mass Rectangular Coordinate System “Del” Operator
© Fox, Pritchard, & McDonald Conservation of Mass Rectangular Coordinate System
© Fox, Pritchard, & McDonald Conservation of Mass Rectangular Coordinate System Incompressible Fluid: Steady Flow:
© Fox, Pritchard, & McDonald Conservation of Mass Cylindrical Coordinate System
© Fox, Pritchard, & McDonald Conservation of Mass Cylindrical Coordinate System
© Fox, Pritchard, & McDonald Conservation of Mass Cylindrical Coordinate System “Del” Operator
© Fox, Pritchard, & McDonald Conservation of Mass Cylindrical Coordinate System
© Fox, Pritchard, & McDonald Conservation of Mass Cylindrical Coordinate System Incompressible Fluid: Steady Flow:
© Fox, Pritchard, & McDonald Stream Function for Two-Dimensional Incompressible Flow Two-Dimensional Flow Stream Function
© Fox, Pritchard, & McDonald Stream Function for Two-Dimensional Incompressible Flow Cylindrical Coordinates Stream Function (r, )
© Fox, Pritchard, & McDonald Motion of a Fluid Particle (Kinematics) Fluid Translation: Acceleration of a Fluid Particle in a Velocity Field Fluid Rotation Fluid Deformation Angular Deformation Linear Deformation
© Fox, Pritchard, & McDonald Motion of a Fluid Particle (Kinematics)
© Fox, Pritchard, & McDonald Motion of a Fluid Particle (Kinematics) Fluid Translation: Acceleration of a Fluid Particle in a Velocity Field
© Fox, Pritchard, & McDonald Motion of a Fluid Particle (Kinematics) Fluid Translation: Acceleration of a Fluid Particle in a Velocity Field
© Fox, Pritchard, & McDonald Motion of a Fluid Particle (Kinematics) Fluid Translation: Acceleration of a Fluid Particle in a Velocity Field
© Fox, Pritchard, & McDonald Motion of a Fluid Particle (Kinematics) Fluid Translation: Acceleration of a Fluid Particle in a Velocity Field (Cylindrical)
© Fox, Pritchard, & McDonald Motion of a Fluid Particle (Kinematics) Fluid Rotation
© Fox, Pritchard, & McDonald Motion of a Fluid Particle (Kinematics) Fluid Rotation
© Fox, Pritchard, & McDonald Motion of a Fluid Particle (Kinematics) Fluid Rotation
© Fox, Pritchard, & McDonald Motion of a Fluid Particle (Kinematics) Fluid Deformation: Angular Deformation
© Fox, Pritchard, & McDonald Motion of a Fluid Particle (Kinematics) Fluid Deformation: Angular Deformation
© Fox, Pritchard, & McDonald Motion of a Fluid Particle (Kinematics) Fluid Deformation: Linear Deformation
© Fox, Pritchard, & McDonald Momentum Equation Newton’s Second Law
© Fox, Pritchard, & McDonald Momentum Equation Forces Acting on a Fluid Particle
© Fox, Pritchard, & McDonald Momentum Equation Forces Acting on a Fluid Particle
© Fox, Pritchard, & McDonald Momentum Equation Differential Momentum Equation
© Fox, Pritchard, & McDonald Momentum Equation Newtonian Fluid: Navier-Stokes Equations
© Fox, Pritchard, & McDonald Momentum Equation Special Case: Euler’s Equation
© Fox, Pritchard, & McDonald Computational Fluid Dynamics Some Applications
© Fox, Pritchard, & McDonald Computational Fluid Dynamics Discretization