Chapter 9
Differential Analysis of
Fluid Flow
Chapter 9 Differential Analysis of Fluid Flow
,Objectives
1. Understand how the differential equations of
mass and momentum conservation are derived.
2. Calculate the stream, potential functions
and pressure field, and plot streamlines
for a known velocity field.
3. Obtain analytical solutions of the
equations of motion for simple flows.
Chapter 9 Differential Analysis of Fluid Flow
, Introduction
Recall
Chap 5: Control volume (CV) versions of the laws of
conservation of mass and energy
Chap 6: CV version of the conservation of momentum
CV, or integral, forms of equations are useful for determining overall effects
However, we cannot obtain detailed knowledge about the flow
field inside the CV motivation for differential analysis.
Chapter 9 Differential Analysis of Fluid Flow
, Example: incompressible Navier-Stokes equations
We will learn:
Physical meaning of each term
How to derive
How to solve
Chapter 9 Differential Analysis of Fluid Flow
Differential Analysis of
Fluid Flow
Chapter 9 Differential Analysis of Fluid Flow
,Objectives
1. Understand how the differential equations of
mass and momentum conservation are derived.
2. Calculate the stream, potential functions
and pressure field, and plot streamlines
for a known velocity field.
3. Obtain analytical solutions of the
equations of motion for simple flows.
Chapter 9 Differential Analysis of Fluid Flow
, Introduction
Recall
Chap 5: Control volume (CV) versions of the laws of
conservation of mass and energy
Chap 6: CV version of the conservation of momentum
CV, or integral, forms of equations are useful for determining overall effects
However, we cannot obtain detailed knowledge about the flow
field inside the CV motivation for differential analysis.
Chapter 9 Differential Analysis of Fluid Flow
, Example: incompressible Navier-Stokes equations
We will learn:
Physical meaning of each term
How to derive
How to solve
Chapter 9 Differential Analysis of Fluid Flow
