The original MOMENTUM INTEGRAL EQUATION
The derivation should include the following terms
1. time rate of increase in momentum within the element
2. momentum flux through the surface normal to x
3. momentum flux through the sloping face of the element.
4. pressure gradient
method: approximate solution involving satisfying the boundary layer equations at the wall and at the edge of the boundary layer and considering the momentum relation applied to some plausible velocity distribution.
Given the momentum variable m=rho*v and the deviatoric part of the velocity gradient S, you write the integral equation over a volume V having surface S:
d/dt Int[V] m dV + Int[S] n. (mv +Ip)dS = Int[S] n. 2mu S dS + Int[V] rho*g dV
I used the momentum integral method for the calculation of time-dependent friction velocity and boundary layer thikness
For more details
https://ascelibrary.org/doi/abs/10.1061/40549%28276%2998
https://books.google.fr/books?id=-iM8DQAAQBAJ&printsec=frontcover&redir_esc=y#v=onepage&q&f=false
- Badges
- Science topic
- Similar topics
- Linguistics
- Composition Studies
- Writing