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A two-dimensional flow consists of a uniform flow U in the x-direction, a source of strength m located at A(4,0), two free vortices of
A two-dimensional flow consists of a uniform flow U in the x-direction, a source of strength m located at A(4,0), two free vortices of strength and - I located at B(0,-3) and D(0,3) respectively as shown in Figure 2. Given that U = 5 m/s and strength of the source m = 5 m/s, (ii) What is the velocity (both magnitude and direction) at point C(-4,0)? (iii) If the upstream pressure is 100 kPa and the density of the fluid is 1000 kg/m, what is the maximum pressure in the flow field? Identify its location. determine the vortex strength I given that the stagnation point is at the origin (0,0). Ps pg + C(-4,0) -ID(0,3) v 2g r B(0,-3) the velocity components are v = 0 and ve = Figure 2 m Note: For source, the velocity components are v = 2r A(4,0) 2 source m and ve 0. For free vortex, Po U pg 2g Bernoulli equation : + =
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