This example shows the necessary steps for studying the flow pattern that appears in a lateral, cavity of a by-flowing fluid - one side of the cavity being swept by the outer flow.
The flow pattern will be calculated using the incompressible Navier-Stokes equations for a Reynolds number of 1 (in order to capture turbulence effects that appear at higher Reynolds numbers, a finer mesh would be necessary).
The geometry simply consists of a square, representing a cavity, its top face being swept by the passing fluid. This problem is a two-dimensional case solved to illustrate the basic capabilities of Tdyn.
- incompressible flow
- viscous, non-turbulent case
- Reynolds number equal to 1
The Reynolds number is defined as Re = ρ·ν·L/μ. In this equation, L represents the characteristic length of the problem, which in this case is the edge length of the cavity, r and m are the density and the viscosity of the fluid respectively, and v is the velocity of the flow on the swept line.
For the example to be solved, we can choose arbitrarily:
- L = 1 m
- v = 1 m/s
- r = 1 kg/m3
- m = 1 kg/m.s
By substituting the variables for their value in the equation above we obtain the Reynolds number:
Re = 1
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