Reference no: EM131180126
Applications
(a) Using the software 2DFlowPlus (Appendix E), investigate the flow field of a vortex (at origin, strength 2) superposed to a sink (at origin, strength 1). Visualise the streamlines, the contour of equal velocity ad the contour of constant pressure. Repeat the same process for a vortex (at origin, strength 2) superposed to a sink (at x = -5, y = 0, strength 1). How would you describe the flow region surrounding the vortex.
(b) Investigate the superposition of a source (at origin, strength 1) and an uniform velocity field (horizontal direction, V = 1). How many stagnation point do you observe? What is the pressure at the stagnation point? What is the "half-Rankine'' body thickness at x = +1? (You may do the calculations directly or use 2DFlowPlus to solve the flow field.)
(c) Using 2DFlowPlus, investigate the flow past a circular building (for an ideal fluid with irrotational flow motion). How many stagnation points is there? Compare the resulting flow pattern with real-fluid flow pattern behind a circular bluff body (search Reference text in the library).
(d) Investigate the seepage flow to a sink (well) located close to a lake. What flow pattern would you use?
Note: the software 2DFlowPlus is described in Appendix E and a demonstration version is available at www.dynaflow-inc.com/2DFlow/.
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