3. Consider the one-dimensional, incompressible flow through the circular channel shown. The velocity at section 1 is given by U=Uo+ U₁ sin(@ot), where Uo= 20 m/s, U₁ = 2 m/s, and o 0.3 rad/s. The channel dimensions are L-1 m, R₁-0.4 m, and R₂-0.2 m. Determine the particle acceleration at the channel exit. Plot the results as a function of time over a complete cycle. On the same plot, show the acceleration at the channel exit if the channel is constant area, rather than convergent, and explain the difference between the curves. X1 L X2 R₂

Consider the one-dimensional, incompressible flow through the circular channel shown. The velocity at section 1 is given by U5U0 1U1 sin ?t, where U0 520 m/s, U1 5 2 m/s, and ? 5 0.3 rad/s. The channel dimensions are L51 m, R1 50.2 m, and R2 50.1 m. Determine the particle acceleration at the channel exit. Plot the results as a function of time over a complete cycle. On the same plot, show the acceleration at the channel exit if the channel is constant area, rather than convergent, and explain the difference between the curves.

How would I calculate the fluid acceleration along the nozzle centerline. Here, there is steady flow of water through an axisymmetric garden hose nozzle and alongthe centerline the water speed increases from uentrance to uexit . The centerline water speed increases parabolically through the nozzle. What would be an equation for centerline speed u(x), based on the parameters given in the drawing from x = 0 to  x = L ?

5.6 The x component of velocity for a flow field is given as u = Ax²y² where A = 0.3 m3 s and x and y are in meters. Determine the y component of velocity for a steady incompressible flow. Determine the equation of the streamline and plot the streamline that goes thrquek. the noint (x.y)=(1,4).