A two-dimensional flow consists of a uniform flow U in the x-direction, a source of strength...
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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 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 m²/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/m³, 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) v² 2g r B(0,-3) the velocity components are v = 0 and ve = Figure 2 m Note: For source, the velocity components are v₁ = 2πr A(4,0) 2πτ source m and ve 0. For free vortex, Po U² pg 2g Bernoulli equation : + = 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 m²/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/m³, 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) v² 2g r B(0,-3) the velocity components are v = 0 and ve = Figure 2 m Note: For source, the velocity components are v₁ = 2πr A(4,0) 2πτ source m and ve 0. For free vortex, Po U² pg 2g Bernoulli equation : + =
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Step1 To determine the vortex strength we can use the fact that the stagnation point is at the origi... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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