SLIDE 1
Examples Far-field Forces
Figure courtesy of Juan Alonso
Balance Laws 2 Lecture 3 ME EN 412 Andrew Ning aning@byu.edu - - PDF document
Balance Laws 2 Lecture 3 ME EN 412 Andrew Ning aning@byu.edu - - PDF document
Balance Laws 2 Lecture 3 ME EN 412 Andrew Ning aning@byu.edu Outline Examples Examples Far-field Forces Figure courtesy of Juan Alonso No time dependence or other external forces: V (
SLIDE 2
SLIDE 3
No time dependence or other external forces:
✟✟✟✟✟✟✟✟
∂ ∂t
- V
– ρ V dV – +
- S
ρ V ( W · d A) = −
- S
pd A +
- S
↔
τ · d A +
✟✟✟✟✟ ✟
Fother Rewrite:
- S
- ρ
V ( W · ˆ n) + pˆ n −
↔
τ · ˆ n
- dA = 0
- Sinner
(−) dA +
- Souter
(−) dA +
✟✟✟✟✟✟✟ ✟
- Scut
(−) dA = 0
SLIDE 4
- Sinner
- ρ
V ✘✘✘✘
✘
( W · ˆ n) + pˆ n −
↔
τ · ˆ n
- dA =
Fb
- Fb = −
- Souter
- ρ
V ( W · ˆ n) + pˆ n
- dA
SLIDE 5
Stator vanes on a jet engine
h Rx Ry
- Infinite cascade of
airfoils
- Incompressible
- Velocity/pressure
constant at stations 1 and 2
- Find reaction forces