in this question for answer (a) velocity field is given as x,y components only. so the flow is two dimensional.
for answer (b) compared with velocity equation V= u i+v j.
for answer (c) we consider two dimensional stream line equation , then by integrating on further we get an equation.
For the following velocity field: V -2yi 9y2j m/s a) Determine whether the flow is one,...
1) A velocity field is given by V = ax?i-bxyl, where a = 2 m-'s-1 and b = 4 m-'s-1. (5 points) is the flow field one, two, or three-dimensional? Why? Is it steady? Why? (15 points) Find the equation of the streamline passing through the point (x,y) = (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)
The Velocity field of a flow is given by V=4xy^2i + 4x^2yj. a) calculate the stream function and the velocity potential b) find the equation for the stream line passing through point x=1, y=1. plot this function accurately c) find the equation for the equipotential line passing through point x=1, y=1. plot this function accurately on the same graph as part b.
6.35 The x component of velocity in a two-dimensional incompressible flow field is given by uAx; the coordi nates are measured in meters and A 3.28 m There is no velocity component or variation in the z direction. Calculate the acceleration of a fluid particle at poin (x, y)- (0.3, 0.6). Estimate the radius of curvature of the streamline passing through this point. Plot the streamline and show both the velocity vector and the acceleration vector on the plot. (Assume...
1. A two-dimensional velocity field is given by(1ty)i -j. Determine the location of the stagnation point, velocity at point (-1,2), the streamline that passes through the same point and the acceleration field for this flow. [1+1+6+4 points)
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
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).
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...
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.
1. The velocity in a certain two-dimensional flow field is given by the equation -= 2zt의 _ 2yte2 where the velocity is in ft/s when x, y, and t are in feet and seconds, respectively. Determine expressions for the local and convective components of acceleration in the x and y direc tions. What is the magnitude and direction of the velocity and the acceleration at the point x = y = 2 ft at the time t = 0.