. An experimentalist has measured the u-velocity component of a steady, two- imensional flow field. It...
6. An experimentalist has measured the u-velocity component of a steady, two- dimensional flow field. It is approximated by u 3x2y x 10 It is also known that the v-velocity is zero along the line y-O. a) Find an expression for the v-velocity in the entire field b) Find an expression for the streamfunction, 11, for this flow c) Determine the location of any stagnation points in the flow (stagnation means V-0) d) Calculate the acceleration field (ax and ay)...
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).
Advanced Fluid Mechanics Determine the streamfunction and velocity potential for uniform flow of strength U over a point source and sink of equal strength, m, located on the x-axis at +/-b (the source is at-b with the sink at +b, where b is not small). Write expressions for the u and v velocity components, and draw streamlines of the flow. Determine the location(s) of any and all stagnation points. Determine the streamfunction and velocity potential for uniform flow of strength...
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 components of a velocity field are given by u = x + y, and v = xy3 + 81 and w = 0. Determine the location of the stagnation point (V = 0) in the flow field where y is positive
A two-dimensional unsteady flow with velocity V = ui + vj has the velocity component u = 1, v = cos(t) Derive the pathline y(x) of the fluid particle that goes through point (0, 0) at t = 0 (the final expression for y should be a function of x only). Sketch the result.
Consider incompressible, steady, inviscid flow at vertical velocity vo though a porous surface into a narrow gap of height h, as shown. Assume that the flow is 2D planar, so neglect any variations or velocity components in the z direction. Find the x-component of velocity, assuming uniform flow at every x location. Find the y-component of velocity. Find an expression for the pressure variation, assuming that the pressure at the outer edge of the gap is Parm (hint: we can...
The radial component of a velocity field in an incompressible, 2D, flow field is measured to be Use the continuity equation to calculate ve
Air flow over a cylinder of radius R- 150mm is modelled as a steady, frictionless and incompressible flow. The vector form of the velocity field is 1" The freestream velocity far away from the cylinder is 75m/s and the static pressure is 101.3kPa. Note that this is similar to worked example 5.1 done during the lecture. However, now you know the Bernoulli equation can be used along a streamline...so: Find a) The stagnation pressure at the leading edge of the...
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...