Simulation of flow over a cylinder using Ansys Fluent
OBJECTIVE:
To perform the steady and transient simulations of flow over a cylinder using Ansys-fluent.
METHODOLOGY:
- Geometry-spaceclaim:
fig.geometry model for the simulation
- Diameter of the cylinder - 2m
- Plane surface area-60mx20m
- Distance between the left face domain and centre of cylinder-20m
- Distance between the right face domain and centre of cylinder-40m
- Distance from the centre of the cylinder to the top as well as bottom face of the domain is 10m.
2. Mesh:
- Traingle element is generated with element size of 0.5m.
- Created a 6 inflation layer around a circle to get a body fitted mesh in order to get accuracy of results.
- Inlation first layer height is given as 0.005m and growth rate is given as 1.2.
- Naming the selection such as inlet-left face domain ,outlet-right face domain, symmetry-top and bottom,wall-edge of circle.
fig.inflation layer around a circle.
fig.Mesh with element size as 0.5m
3. Setup:
- Performed mesh check.
- Solver > type-pressure based >velocity formulation-absolute > Time-steady >2D space- planar.
- physics >models>viscous>laminar model is chosen
- air with density of 1 kg/m^3 and viscosity-0.02 kg/ms is chosen to get Re=100
- Boundary conditions-inlet velocity -1 m/s and pressure outlet-0(gauge pressure).
- Solution > Definitions were made to see the vertex average velocity at the monitor point which is pointed 8m(x-axis) from the centre of the circle.
- Results > contours >velocity and pressure.
4. Solution:
Steady state :
fig.Residual plot
fig.vertex average velocity at monitor point.A
- As we see from the above two graph,the residuals are constant after the 200 iteration and doesn't converge a solution for the velocity at monitor point.
- vertex average velocity at the monitor point starts fluctuating at 100 iteration as it gradually increases and after 200 iteration it gives a constant fluctuating velocity magnitude that means von carmen vortex street is visible in this range.
fig.velocity contour
- with this velocity contour ,we can see the von karmen vortex street clearly with fluctuation.
- velocity is maximum at the boundary layer separation and minimum at behind the cylinder.
fig.pressure contour
- High pressure value is seen at front edge of a cylinder where the fluid impinges.
- creates a low pressure region at the boundary layer separation.
Solution Animation:
Transient state:
fig.Residual plot
fig.vertex average velocity plot at monitor point
- 1000 time step,0.1s time step is given for the unsteady calculation.we see from the above graph,the velocity magnitude starts fluctuating after 25 seconds and it gradually inceases.
- After 100 seconds the velocity magnitude constantly fluctuating.
fig. velocity contour
- with this velocity contour,we can see a clear image of how the velocity magnitude fluctuates compared to steady state.
fig.pressure contour.
fig.velocity vector contour plot
- from this plot, we can visually see that how the velocity vector behaves once the fluid is impinging the cylinder and form the vortex shedding.
Solution Animation:
Strouhal number:
- It is a dimensionless number describing the oscillating flow mechanism.
- It is not applicable for steady state since it has time independent variables.
St=fd/V
f-shedding frequency d- characterstic diameter v-velocity of the flow impinging the obstruction.
for this case it is found out to be 0.15m
st=0.3
CONCLUSION:
In both steady and transient simulation,we observed the vortex shedding for reynolds number Re=100 and plots and calculations were done.