Flow over a cylinder for steady and transient flow
Objective :
For Re = 100, simulate the flow over a cylinder using steady and transient mode.
- Observe vortex shedding on both the approaches.
- Show that flow has converged.
- Calculate Strouhal number.
Considerations:
- For Re to be \'100\', Following values are considered.
density=1 kg/m3, velocity=1 m/s, Dia of cylinder=2m, viscosity=0.02 kg-s/m - Strouhal Number is given by,
St=fL/v
where, f-frequency of vortex shedding, L-Charateristic Length, v-flow velocity
Experimental Setup:
Mesh Type = Triangular, Mesh Size = 0.25m, Total no. of mesh = 40502
a) For Steady State
- From the velocity contour plots, we can say that vortex shedding is clearly observed at Re=100.
- By residuals and vertex average plot, we can say that flow is converged and no. of iterations taken for convergence is 450 iterations.
- Strouhal number cannot be calculated from the plots as we dont have relation between flow time and vortex shedding frequency.
b) For Transient State
- From the velocity contour plots, we can say that vortex shedding is clearly observed at Re=100.
- From residual plot, it is observed that residuals doesnot reach to steady state and keeps on varying.
- From vertex average plot, it is observed that flow has converged and time taken to reach convergence is around 110s.
- Strouhal Number can be calculated in transient flow and value is,
f = 12/60 = 0.2
St = fD/v = 0.2*2/1 = 0.4
Conclusion:
Von Karman effect, i.e; vortex shedding is observed on both the approaches (steady and transient state flow) for the Reynold\'s number, Re=100.