Project

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:

  1. 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.

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