Challenge

Flow over a cylinder

Theory-

In this challenge we have to run a baseline simulation of a cylinder in which external flow takes place. And also calculate the Reynolds number. Then increase the Reynolds number by a factor of 20%, 40%, and 100% then run the transient flow simulation. Also create animations for pressure-velocity for all the three Reynolds number.

CAD model-

  • Select a top plane and make a circle of 4 m.
  • Then extrude it to 5 m to make a cylinder.
  • Select external amalysis type and give total analysis time is 5 sec and output time step is 0.5 sec.
  • Select air as working fluid.
  • Thermodynamics parameters remains same as default.
  • As per this drawing, give the value of velocity is Y direction - 1 m/s (as per question) and in other direction = 0 m/s.

Mesh-

  • Create a cut plot in XY plane in middle of cylinder.
  • Then run the simulation.
  • Then click on Animation.
  • Then click on Wizard and give animation time is 10 sec.
  • Since we want to animate development of flow field distribution in time to see transient animation of time dependent analysis and hence select the Scenario type of the animation.

Calculation-

We know,

  • Re = rho*U_inlet*D/mu
  • D = cylinder diameter
  • mu = dynamic viscosity
  • rho = density

At given Thermodynamics parameters-

mu = 0.001003 kg/m-s

rho = 1.225 kg/m^3

D = 4

U_inlet = 1m/s

Hence, we can calculate the value of Reynolds number (Re) = 4,885.34

In Case 2- When Reynolds number is increased by a factor of 20% - Then value of Re_2 = Re*1.2 = 5,862.41

Hence velocity = 1.2 m/s

In Case 3- When Reynolds number is increased by a factor of 40% - Then value of Re_3 = Re*1.4 = 6,839.48

Hence velocity = 1.4 m/s

In Case 4- When Reynolds number is increased by a factor of 100% - Then value of Re_4 = Re*2 = 9,770.68

Hence velocity = 2 m/s

  • We just change the value of velocity in each case for each animation and other parameters remains same.

Result ( YouTube link for each 4 cases)-

Case 1 ( Reynolds number when velocity = 1 m/s) - https://youtu.be/0VR3M2tTBJc

Case 2 (Reynolds number is increased by a factor of 20%)- https://youtu.be/1gWz8yuKdD4

Case 3 (Reynolds number is increased by a factor of 40%)- https://youtu.be/cWgh9NfU1WY

Case 4 (Reynolds number is increased by a factor of 100%)- https://youtu.be/m_3VVzRODtY

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