Supplementary Worksheet
ENGR 1282.02H
Spring, 2016
Dip Patel
DMG - 12:40pm
Date of Submission: 2/26/16
Coarse Mesh:
Figure 1: Goals plot after 50 iterations.
Figure 2: Contour surface plot.
Figure 3: Velocity contour at 0.010m.
Figure 4: Velocity vectors.
Figure 5: Flow Trajectories.
Fine Mesh:
Figure 6: Fine Mesh Goals Plot.
Figure 7: Velocity Contours at z = 0.010m.
Figure 8: Entrance effects contour plot.
Figure 9: 3D Velocity Contours.
Figure 10: Shear stress contours.
Yes, the results of this simulation are similar to what would be expected with prior knowledge of fluid dynamics. The fine mesh model had laminar flow and the no-slip condition at the boundary, which is visible on the velocity contours as a velocity of zero at the walls, and on the goals plot as a minimum velocity of zero. The 3D model of velocity proved the parabolic shape of velocity as predicted by the fluid mechanics equations.
In the coarse mesh model, the smooth, parabolic shape of the velocity was not cleanly observed in the velocity contour, however in the fine mesh model it was. The fine mesh did a better job of replicating the flow profile expected as the 3D contour was parabolic in nature and observed the no-slip condition. The coarse model was not completely parabolic and did not observe the no slip condition.
It is very significant to establish a quality, fine mesh in order to properly conduct the experiments. If the mesh is too coarse, the no-slip condition at the walls will not be observed and the whole experiment will fail. A potential drawback of using a fine mesh is the time/resources needed to fabricate such a mesh.
The finer the better. However, not too fine as to waste materials and time during fabrication. The whole point is to get the mesh to observe the no-slip condition. If that is met, then we have a good mesh.