Question

The velocity field for a fluid, at two different times, is defined by the following equations (where u and v are the x- and y-components of the velocity vector): For time 0 s to 5 s; u = 1 m/s and v = 0 m/s For time 5 s to 10 s; u = 0.5 m/s and v = 0.75 m/s Plot the pathline for a particle from the time it is released in the flow (0 seconds) to 10 seconds. Plot the streamlines at times 3 seconds and 7 seconds. Plot the streaklines for a dye that is continuously injected into the flow field (at a given point) for times 3 seconds and 10 seconds.

Answer #1

A flow in the x – y plane is given by the following velocity
field:
u=5 and v=10m m/s 0<t<20s
and u=-5 and v=0 m/s 20<t<40s
Paint is released at the starting point. (x,y,t)=(0,0,0)
(A) For two particles released from one at t=0 s and the other
at t=20 s, road lines at t = 30 draw for.
(B) Draw flow lines at t=10 s and t=30 s on the same graph.

1-)) A speed field is defined by V(u,v) = (V1/L)(-xi+yj). Here V1 and L are fixed. This current is two-dimensional and constant.
a-) In which position in the current field does the velocity equal the velocity V1?
Make an outline of the velocity field by drawing arrows inside x>=0. These arrows represent fluid velocity in representative positions. And support it with your calculations.
b-)Determine the acceleration field for this current.
2-)) The x and y components of a velocity field...

A two-dimensional unsteady flow has the velocity components
given by u = x / (1 + t) and v = y / (1 + 2t)
Find the equation of the streamlines of this flow which pass
through the point (xo, yo) at time t = 0.

A 2D incompressible flow field has the following velocity
components in the x, y and z directions, where z is is “up”, and a,
b are constants.
U = ay, v = bx, w = 0
(i) Does this flow satisfy conservation of mass?
(ii) Show if this is an exact solution to Navier-Stokes
equations for incompressible flow?

A 2D incompressible flow field has the following velocity
components in the x, y and z directions, where z is is “up”, and a,
b are constants.
u=ay v=bx w=0
1.Does this flow satisfy conservation of mass?
2.Show if this is an exact solution to Navier-Stokes equations
for incompressible flow?

Given the steady, two-dimensional velocity field and the derived
equation of the streamline, recreate the streamlines shown in the
plot using MATLAB. (Submit the plot and M-file script.)
V = ui+vj = (0.5+0.8x)i+ (1.5−0.8y)j m/s
y = 1.875+ ((c)/(0.8(0.5+0.8x)))
Analysis: The MATLAB commands plot and quiver may be useful.
Change the constant c to create a new streamline.
Please use Matlab

A steady, two-dimensional velocity field is given by V with
rightwards arrow on top=(u,v)=(3.69-0.7x)i with rightwards arrow on
top+(2.16+3.06y)j with rightwards arrow on top where the x- and
y-coordinates are in meters and the magnitude of velocity is in
m/s. The volumetric strain rate in s−1 is
A bird is flying in a room with a velocity field of (u,
v, w)=0.58x+0.22t–1.22 (m/s).
The room is heated by a heat pump so that the temperature
distribution at steady state is...

A particle travels along a straight line with a velocity
v=(12−3t^2) m/s , where t is in seconds. When t = 1 s, the particle
is located 10 m to the left of the origin.
Determine the displacement from t = 0 to t = 7 s.
Determine the distance the particle travels during the time
period given in previous part.

A projectile motion (i.e. cannon) can be modeled via the
following equations: x=u cosθ t y=-0.5 g t^2+u sinθ t Where: x:
Position of the cannonball after t seconds in the x-direction
(meters) y: Position of the cannonball after t seconds in the
y-direction (meters) u: Initial velocity of the cannonball (meters
per second) g: Acceleration due to gravity (meters per second
squared) t: Time (seconds) In this question, we are trying to see
the effects of the angle ϴ...

A student stands at the edge of a cliff and throws a stone
horizontally over the edge with a speed of
v0 = 17.5 m/s.
The cliff is h = 26.0 m above a flat, horizontal beach
as shown in the figure.
A student stands on the edge of a cliff with his hand a height
h above a flat stretch of ground below the clifftop. The
+x-axis extends to the right along the ground and the
+y-axis extends up...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 20 minutes ago

asked 20 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago