Consider a 3D flow defined by u= Ar - Ay v=-Bay + Cr+z+xz w = Azy-y...

   

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Consider a 3D flow defined by u= Ar² - Ay² v=-Bay + Cr²+z+xz w = Az²y-y² + 2 with A = 3, B=6 and C= 7. Which of the following is true? [1 mark] (a) The flow is compressible (b) The flow is neither compressible nor incompressible (c) The flow is incompressible (d) It cannot be determined whether the flow is compressible or incompressible Question 2: (1 point) Consider a 3D flow defined by u = Ar² - Ay² v = - Bry w = A with A = 2, B = 4. Which of the following is true? [1 mark] (a) The flow is rotational (b) The flow is both rotational and irrotational (c) The flow is irrotational (d) It cannot be determined whether the flow is rotational or irrotational (e) The flow is neither rotational nor irrotational Question 3: (3 points) Consider a 3D flow with u = 0.657 + 1.73 +0.948 y + Az v=2.61 + Cz + 1.91 y + Bz w = -2.73 z 3.66 y-3.64 z What are the constants A, B and C for the flow to be irrotational? A: [1 mark] (+/-1%) B: [1 mark] (+/-1%) [1 mark] (+/-1%) G Question 4: (2 points) Consider a 3D flow with Az²+By+z U v = Ar + Bry+ 3 z w = Bry+C₂² All components are in m/s and A = 3, B = 4 and C = 2. Calculate the magitude of the velocity vector at the point (3,2,1) in m/s. [2 marks] (+/-1%) Velocity magnitude: Consider a 3D flow defined by u= Ar² - Ay² v=-Bay + Cr²+z+xz w = Az²y-y² + 2 with A = 3, B=6 and C= 7. Which of the following is true? [1 mark] (a) The flow is compressible (b) The flow is neither compressible nor incompressible (c) The flow is incompressible (d) It cannot be determined whether the flow is compressible or incompressible Question 2: (1 point) Consider a 3D flow defined by u = Ar² - Ay² v = - Bry w = A with A = 2, B = 4. Which of the following is true? [1 mark] (a) The flow is rotational (b) The flow is both rotational and irrotational (c) The flow is irrotational (d) It cannot be determined whether the flow is rotational or irrotational (e) The flow is neither rotational nor irrotational Question 3: (3 points) Consider a 3D flow with u = 0.657 + 1.73 +0.948 y + Az v=2.61 + Cz + 1.91 y + Bz w = -2.73 z 3.66 y-3.64 z What are the constants A, B and C for the flow to be irrotational? A: [1 mark] (+/-1%) B: [1 mark] (+/-1%) [1 mark] (+/-1%) G Question 4: (2 points) Consider a 3D flow with Az²+By+z U v = Ar + Bry+ 3 z w = Bry+C₂² All components are in m/s and A = 3, B = 4 and C = 2. Calculate the magitude of the velocity vector at the point (3,2,1) in m/s. [2 marks] (+/-1%) Velocity magnitude:

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Lets solve each question in a stepbystep manner Question 1 The question is about determining the compressibility of a flow A flow is considered to be incompressible if the divergence of the velocity f... View the full answer