文档介绍：Chapter 8 Flow of Viscous Fluid in Pipes
Stress Analysis of Viscous Fluid
Stress in Viscous Fluid
For a fluid parcel of hexahedron in flow field, there are 9 stresses on the three mutually perpendicular surfaces through point O.
mutual equation law of Shear stress
Widesence Newton’s law of interior friction
1) For pressible fluid, after considering continuity equation,
2) Particularly, for ideal or relative static fluid,
Differential equations of motion of pressible fluid ----Navier-Stokes Equations (N-S Equations)
In engineering, the equations are usually expressed in rθz system as those at Page 130.
For ideal fluid, ν=0,
N-S Equations
Euler motion differential Equations
For pressible fluid with constant velocity,
Euler motion differential Equations
Euler balance differential Equations
Two types of viscous flow
Reynolds experiment
Reynolds number
For the flow in pipe,