Example: Plot streamlines for the given flow: A steady, incompressible, two-dimensional velocity field is given by V = (u, v) = (0.5 + 0.8x) + (1.5 - 0.8y)

a constant two-dimensional velocity field: a constant, incompressible, two-dimensional velocity field is given like this: V=(u,v)=(0.5+0.8x)i+(1.5-0.8y)j where the x and y coordinates are in meters and the magnitude of the velocity is in m/s.The stagnation point is defined as a point in the flow field at which the velocity is zero. a)Determine if and where there are any stagnation points in this flow area. b)x=-2m to 2m and y=0m to 5m ; qualitatively describe the flow field.

Solve all with clear explanation please, fluid mechanics

As figure shown, find the head loss (in meter) between A and B if the velocity is 25 m/s. DB = 400 mm Ps = 22.563 N/cm Zg = 30 m DA =400 mm B PA = 29.43 N/cm =28 m ZA %3D DATUM,LINE

7. Stream function of the 2D flow is given as Y =x² + y² a. Find the velocity components for each direction b. Determine stream lines equations. c. Find the flow has velocity potential or not. d. Determine the velocity potential function if its possible.

Solve if you are sure

1. For a 3D potential flow, use the continuity equation to show that the velocity potential o must satisfy the Laplace equation in cartesian coordinates.

A velocity field is given by the equation below. V = 2x² - 4xyj a. Find the general equation for streamlines. b. The pathline passing through (1,1), finding x and y in terms of t.

4.23 The velocity components of u and v of a two-dimensional. flow are given by bx x²1₂² u = ax + by x²y²² where a and b are constants. Calculate the acceleration. and y = ay +

Suppose that vc=4.5 ft/s. (Figure 1) Figure 1 ft B A 3966666 Te 3 ft < 1 of 1 Part A Determine the angular velocity of link AB at the instant 0 = 30° measured counterclockwise. Express your answer in radians per second to three significant figures. Enter positive value if the angular velocity is counterclockwise and negative value if the angular velocity is clockwise. WAB = Submit Part B 17 ΑΣΦ 跖 ↓↑ vec X Incorrect; Try Again; 4 attempts remaining WBC = Previous Answers Request Answer ? Determine the angular velocity of link BC at the instant 0 = 30° measured counterclockwise. Express your answer in radians per second to three significant figures. Enter positive value if the angular velocity is counterclockwise and negative value if the angular velocity is clockwise. —| ΑΣΦ. 11 | vec ww rad/s ? rad/s