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Calculate the vorticity component in the circumferential

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Reference no: EM13857023

Consider fully developed axisymmetric Poiseuille flow-flow in a round pipe of radius R (diameter D = 2R),with a forced pressure gradient dP/dx driving the flow as illustrated in Fig. P4-90. (dP/dx is constant and negative.)The flow is steady, incompressible, and axisymmetric about the x-axis. The velocity components are given by

855_equation.png

Where μ is the fluid's viscosity. Is this flow rotational or irrotational? If it is rotational, calculate the vorticity component in the circumferential (u) direction and discuss the sign of the rotation.

834_Poiseuille flow.png

Reference no: EM13857023

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