Question 4 (Streamlines) The velocity field in a flow is given by V = x+yi +...
Describing Velocity Fields and Stream Lines A velocity field is given by, V= -yi + xj a) Remark on the dimensionality, directionality and steadiness of the flow b) Calculate the equation for the stream lines c) Sketch (by hand) the streamlines through point x=2, y=0 and x=3, y=0 d) Describe in words what the flow pattern look like? Which of the following situations does the flow look like: Flow over a cylinder, flow into an acute corner, flow into 90...
A time-dependent, two-dimensional motion has three velocity components that are given by 1+ at 1+bt where a and b are pure constants. The objective of this problem is to compare and contrast the streamlines in this flow with the pathlines of the fluid particles a) Find the equations governing the streamline that passes through the point (1.1) at time b) Calculate the path of a particle that startsar (0Vo)-(1.1) at 0. Determine the location of a particle at t-1, denoted...
2. (i)Describe with neat sketches the meanings of streamlines, pathlines and streaklines. (6 marks) (Gi) Derive the equation of the streamlines for the following flow field and sketch them. (4 marks) (iii) A flow field is given as (a) Determine the z-component of velocity assuming the flow field is for an incompressible fluid. (4 marks) (b) Determine the velocity and acceleration at the point (1,2,3) at time t-1. (6 marks) Assume that the z-component of velocity at z-0 is zero....
The velocity components of a particle in the flow field are defined by : u= 3 m/s and v = (6t) m/s, ∙where t is in seconds. Plot the path line for the particle if it is released from the origin when t = 2 sec. Also draw the streamline for this particle ∙when t = 2 s.
9*. A velocity is field is given by V (3xt)i + (4yt)j. Find speed of particles at (2,3) at any time t, and plot this speed. Find the direction of flow at (2,3). Also determine the streamlines for the flow and find the acceleration field (at all x and
Fluid mechanics
I A velocity field is given by v = 2y^+-2x] (a) Is the flow steady? noble (6). Is the law irratungl * v=0 1 (c) What is the velocity of a particle at (2,1)? (d) Oblain an equation for the streamline through (2, 1).
If the velocity field for a flow is given as V = był + 3x9 [m/s] Determine the equation of the streamline, and evaluate said streamline for the point (1, 2)
please solve in detail
2.28 Consider the velocity field of Problem 2.20. Plot the streakline formed by particles that passed through the point (1, 1) during the interval from t=0 tot = 3 s. Compare with the streamlines plotted through the same point at the instants t=0, 1, and 2 s.
A two dimensional incompressible flow is given by the velocity field V = 3yi + 2xj, in arbitrary units. Does this flow satisfy continuity? If so, find the stream function ψ(x,y) and plot a few streamlines, with arrows.
The x and y components of velocity for 2D flow are u = 3 m/s and v = 9x2 m/s, where x is in meter. Determine the equation of the streamlines (y) and plot the graph of the streamline when y = 0 for the range of -10 <=x <= 10 and -10 <= y <= 10