QUESTION 2 [50 Marks] PART A (a) For the stress tensor 1 = 8,8, (-)8, +1,...
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QUESTION 2 [50 Marks] PART A (a) For the stress tensor 1 = 8,8, (-)8, +1, describe the physical meaning of the terms on the right hand side of Equation. (b) What would be the simplification for a fluid in static equilibrium? [5 Marks] [3 Marks] (c) It can then be shown that = 28 +( +,) where the deformation tensor ey =1 + axi ax is the first coefficient viscosity and 2 is the second coefficient viscosity. Calculate the tensort, if grad is given by: 6 1 2 Ju = 1 4 1 =2x10 kg/ms, =10 kg/ms 1 2 -10 Indicate if this fluid is incompressible or compressible. [15 Marks] [2 Marks] QUESTION 2 [50 Marks] PART A (a) For the stress tensor 1 = 8,8, (-)8, +1, describe the physical meaning of the terms on the right hand side of Equation. (b) What would be the simplification for a fluid in static equilibrium? [5 Marks] [3 Marks] (c) It can then be shown that = 28 +( +,) where the deformation tensor ey =1 + axi ax is the first coefficient viscosity and 2 is the second coefficient viscosity. Calculate the tensort, if grad is given by: 6 1 2 Ju = 1 4 1 =2x10 kg/ms, =10 kg/ms 1 2 -10 Indicate if this fluid is incompressible or compressible. [15 Marks] [2 Marks]
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