Converging duct flow is modeled by the steady, two- dimensional velocity field √ = (u, v) = (U₁ + bx) -by. For the case in which Up = 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.)

A fluid flow is described (in Cartesian coordinates) by u = x2, v = 4xz. (a) Is this flow two-dimensional or three-dimensional? (b) Is this flow field steady or unsteady? (c) Find the simplest form of the z-component of velocity if the flow is incompressible.  

A flow is described by the flow field of vec(V)=A(1+Bt)hat(i)+Ctyhat(j), where A=1 m/s, B=1 s -1 , and C=1 s -2 . The unit for the coordinates is meters. a. Plot the pathline that passes through the point (x=1 m, y=1 m) at time t=0 . b. Compare the streamlines through the point (x=1 m, y=1 m) at time t=0, 1, and 2 s. c. Calculate the acceleration at time t=0 along the streamline passing the point (x=1 m, y=1 m) at time t=0 .

PLS SHOW ME FULL STEPS SIR PLS ANSWER WITHIN 30 MIN SIR SUBJECT (FLUID MECH 2)

Dentrance x=0 uentrance FIGURE P4-21 u(x) lexit x = L Dexit 4-22 For the velocity field of Prob. 4-21, calculate the fluid acceleration along the diffuser centerline as a function of x and the given parameters. For L = 1.56 m, uentrance = 22.6 m/s, and exit = 17.5 m/s, calculate the acceleration at x = 0 and x = 1.0 m. Answers: 0, -96.4 m/s²

Problem 1 Given a steady flow, where the velocity is described by: u = 3 cos(x) + 2ry v = 3 sin(y) + 2?y !! !! a) Find the stream function if it exists. b) Find the potential function if it exists. c) For a square with opposite diagonal corners at (0,0) and (47, 27), evaluate the circu- lation I = - f V.ds where c is a closed path around the square. d) Calculate the substantial derivative of velocity at the center of the same box.