A fluid has dynamic viscosity , bulk viscosity X, and the following velocity and pressure distributions:...

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A fluid has dynamic viscosity , bulk viscosity X, and the following velocity and pressure distributions: v(x, y) P(x, y) = (6x + 2y)i + (2xy 3x) x + y a) Determine the vorticity tensor, N, and the rate-of-strain tensor, . b) Assuming a Newtonian fluid, calculate the viscous stress tensor, 7, and the total stress tensor, . = c) What are the viscous force, pressure force, and acceleration of a fluid element at (x, y) = (1, 1)? A fluid has dynamic viscosity , bulk viscosity X, and the following velocity and pressure distributions: v(x, y) P(x, y) = (6x + 2y)i + (2xy 3x) x + y a) Determine the vorticity tensor, N, and the rate-of-strain tensor, . b) Assuming a Newtonian fluid, calculate the viscous stress tensor, 7, and the total stress tensor, . = c) What are the viscous force, pressure force, and acceleration of a fluid element at (x, y) = (1, 1)?