is shown the unsteady-state streamlines of a cylinder moving with a uniform velocity U in the fluid at rest. Calculate and draw the un- steady-state streamlines at an interval of 10° (0 = 10°). The tangential com- ponent of velocity on the surface of the cylinder in a uniform stream, U., is given by r = -2U sin 0. UR31 URA URS URG I URI UR2 Us Uo U Cylinder moving with velocity U in fluid at rest (b) Streamlines, Unsteady Flow

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P1 A thin layer of water flows down a plate inclined to the horizontal with an angle a = 15° in the shown coordinate system. If the thickness of the water layer is a=0.5 mm, assuming that the flow is laminar and incompressible, (water density p = 1000 kg/m³viscosity µ = 0.001 Pa.s and acceleration of gravity g = 9.81 m/s²) and an air flow shears the layer in a direction opposite to its flow with a shear stress of 1 N /m². Solve the Navier-Stokes equation: air water (a) to find the value of the maximum water velocity in m/s to three decimal points, Answer: (b)and to find the value of water velocity at the layer's surface in m/s to three decimal points, Answer:

Question 2 (Potential flow) a) The velocity component of an incompressible and 2-dimensional flow is given by Determine i. ii. iii. u = -x + 4y v = 2x - y The resultant velocity at point (-1m, 1m) The stream function The velocity potential

this is for a fluid dynamics course. please give a simple answer   8. When considering a fluid flow problem, name two conditions that would require the application of the energy equation in addition to the mass and momentum equations if the condition was present.

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The fluid particles do not rotate about their own axis in an irrotational fluid flow. Select one: True False

hello, can you do a step by step solution with explaination for me thank you so much

Please help me with this question with details. i need answer of these questions with explanation.