Challenge

Week 7 - Minor Project

Aim --> NACA 0012 Supersonic/Subsonic flow project.

Incompressible Case (sub-sonic flow M=0.15)

Case-Setup

pressure-based steady-state solver

AOA --> 5,10,15 degree

Velocity --> 52.15 m/s

Refference values

Turbulence model --> K-w SST model

Inlet --> (velocity inlet) Velocity components are specified (x,y component)

outlet --> (pressure outlet (operating pressure condition))

Airfoil --> wall

top and bottom --> symmetry

density --> 2.131 kg/m3

Standard initialization (computing with inlet)

Solver --> coupled scheme with 2nd order upwind turbulence scheme.

flow courant number --> 1

coefficients used for calculating lift and drag

AOA Sinθ Cosθ
5 0.0871 0.996
10 0.173 0.984
15 0.258 0.965

--> Components of drag and lift are to be taken from the shifted(rotated) plane to the original xy plane with proper sign convensions, if sign-convensions are not properly given the orientation of lift drag vector in 2D space will change and thus give us wrong values.

Results

Case --> AOA = 5 degree

Residual plot

Pressure and velocity contours

Drag and lift parameters

Wall Y+

Case --> AOA = 10 degree

Residual plot

Pressure and velocity contours

Drag and lift parameters

Wall Y+

Case --> AOA = 15 degree

Residual plot

Pressure and velocity contours

Drag and lift parameters

Wall Y+

Comparison Table (Cd,Cl vs AOA)

AOA 5 10 15

Cd

0.04 0.06 0.11
Cl 0.15 0.33 0.47

Compressible Case (sub-sonic flow M=0.65)

  • Pressure based steady-state solver
  • pressure far field condition at all boundaries (with infinity mach number and static pressure as input)
  • Energy turned on.
  • Operating pressure --> 0 Pa.
  • density --> Ideal Gas
  • Standard initialization (computing with inlet)
  • Solver --> coupled scheme with 2nd order upwind turbulence scheme.
  • flow courant number --> 1

Mesh

Case AOA --> 5 degree

velcoity --> 272 m/s

Residual plot

lift

The value will converge at around 0.5 lift if we run simulation for long.

drag

Velocity contour

Case AOA --> 10 degree

velcoity --> 272 m/s

Residual plot

lift

drag

Velocity contour

Pressure contour

Temperature contour

Density contour

Case AOA --> 15 degree

Residual plot

lift

drag

Wall y+

Velocity contour

Static Pressure

Turbulent kinetic energy

Temperature contour

Density contour

Comparison Table (Cd,Cl vs AOA) Compressible case

AOA 5 10* 15

Cd

0.07 0.17* 0.25
Cl 0.62 0.76* 0.87

Conclusion

--> Flow over an airfoil at subsonic and supersonic regime was analysed.

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