Question

Hello
I need to mode a pipe culvert in fluid lab. I need some helps in dimensional analysis.

Answer 1

dim analysis.To do it, I think you need and a relationship of some sort. Maybe more detail would help.
https://en.wikipedia.org/wiki/Culvert
http://perendis.webs.com

Answer 2

@ahmedcomp4
q for you. do you mean "mode" or is that a typo for model ????

Answer 3

I mean model

Answer 4

Poiseuille's formula (1844)...
Flow depends on
viscosity, radius of pipe, pressure gradient.

Volume per second = k.coefficient of viscosity^x.radius of pipe^y.pressure gradient^z
Dims of vol per second L^3 T^-1
dims of pressure gradient ML^-2 T^-1
dims of visco are ML^-1 T^-1
dim of pipe radius is L
k is dimless

substitute dims in LHS and RHS, and equate the indices of M, L and T on each side.
Simultaneous eqs result.
Solve sim eqs for x, y, z and that gives vol per sec in a pipe.