The y component of velocity in a steady, incompressible flow field in the xy plane is v = -Bxy3, where B = 0.7 m-3 · s-1, and x and y are measured in meters. (a) Find the simplest x component of velocity for this flow field. (b) Find the equation of the streamlines for this flow (use C as constant).
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The y component of velocity in a steady, incompressible flow field in the xy plane is...
Consider the velocity field V - A(4- 6x2y2 +y4)i+ A(4xy3 - 4x3y) j in the xy plane, where A 0.28 m3.s1, and the coordinates are measured in meters. (a) Is this a possible incompressible flow field? (b) Calculate thex component and (c) y-component of the acceleration of a fluid particle at point (x,y)-(2, 3) b) -119 m/s 2 120 (c) ay - m/s2
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...
(0.523-1.88x+ 3.94) (-2.44+1.26x + 1.881) A steady, incompressible, two-dimensional (in the xy-plane) velocity field is given by: V = (0.523 – 1.88x + 3.94y)i + (-2.44 + 1.26x + 1.88 in units of m/s. Calculate the acceleration in the y-direction at the point (x, y) = (21.55, 2.07) in units of m2/s. Answer:
The velocity in a certain two-dimensional flow field is given by the equation: ✓ = 2xti – 2 yı where the velocity is in ft/s when x, y, and t are in feet and seconds, respectively. (a) Is flow steady or unsteady (b) Determine the expression of acceleration (c) Check if the flow is compressible or incompressible (d) Check if the flow is rotational or irrotational (e) Sketch the streamlines of t= ls on a x-y plane W
C- A steady, incompressible, two-dimensional velocity field of a fluid is given by に(u, v) = (0.5 + 0.8x) velocity is in m/s. Determine: i+(1.5-0.8y) j where the x- and y-coordinates are in meters and the of 1-The stagnation point of the flow 2-The material acceleration at the point (x 2 m, y - 3m).
The radial component of a velocity field in an incompressible, 2D, flow field is measured to be Use the continuity equation to calculate ve
6. An Eulerian flow field is characterized by the stream function in Cartesian coordinates below: y = vzt where a is a positive constant. • Sketch the streamlines for the given flow field in the xy-plane at a given time, t. Be sure to specify the direction of the streamlines in your plot. Determine if the fluid in the flow field is incompressible. Determine if the flow field is irrotational. If so, find the corresponding velocity potential and sketch a...
An incompressible fluid flows horizontally in the x-y plane with a velocity given by , and , where and are in meters and is a constant. Determine the average velocity for the portion of the flow between and if m/s.
Given the velocity potential for a 2-D incompressible flow, (x, y) = xy + x2 - y2 (a) Does the potential satisfy the Laplace Equation (i.e. V20 = 0)? What is the physical intepretation of this? (b) Find u(x,y) and v(x,y) (the corresponding velocity field of the flow). (c) Does the stream function y (x,y) exist? If so: (a) Find the stream function. (b) Find the implicit equation of streamline that passes through (x,y) = (1, 2).
An incompressible plane flow has the velocity potential - 2Bxy, where is a constant 2. value 10.00 points Find the stream function of this flow O-B(y-7)+const OU-B(y2 + 2*) + const Ov-B(y? - ??) + const O-B(x+y)+const Check my work 3. value 10.00 points The interpretation of the flow pattern of the above streamlines represents stagnation flow turned 90° to the left True False