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

Converging duct flow is modeled by the steady, two- dimensional velocity field V = (u, v) = (U₁ + bx) i-by. For the case in which Ug = 3.56 ft/s and b = 7.66 s¯¹, plot several streamlines from x = 0 ft to 5 ft and y=-2 ft to 2 ft. Be sure to show the direction of the streamlines. (Please upload you response/solution using the controls provided below.)

Solve all questions.

M6

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:

Fluid Mechanics Assis.Professor Dr. Hasan Ali Jurmut HOMEWORK Q/A two-dimensional flow field has velocities along the x and y directions given by u = x2t and v = 2xyt, respectively, wheret is time. Determine the acceleration .If the time is(5 sec.) at point (3,5). Q/Consider steady, incompressible and flow through a reducer in a horizontal pipe where the diameter is reduced from 20 cm to 10 cm. The pressure in the 20 cm and 10cm is 150 and 50 kPa respectively. Compute the flow rate in m²/s. 2 150 kPa 50 kPa V, V, 10 cm 20 cm 20 cm II

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.

for a steady incomprssible two dimensional flow, represented in cartesian coordinates (x,y), a student correctly writes the equation of pathline of any arbitrary particle as dx/dt =ax and dy/dt= by where a and b are constants having unit of second‐¹. if value of a is 5 determine the value if b.

I need the answer as soon as possible