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(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...
A steady, incompressible, two-dimensional (in the x-y plane) velocity field is given by V = (0.523-1.88x + 3.94y) i + (-2.44 + 1.26x + 1.88y) j . Calculate the acceleration at the point (x,y-(2, 3) The acceleration components are ax Acceleration components at (2, 3) are
B) A steady, incompressible, two-dimensional (in the xy- plane) velocity field is given by (0.523 1.88x + 3.94y)7+ (-2.441.26x +1.88y)] Calculate the acceleration at the point (x.y) (-1.55, 2.07) Hint: ди ди w u D ду ди ди ах дх дг де до ди ди ди u - w аy дг дх ду дw дw dw u D w- ду ax дг
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 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).
A general equation for a steady, two-dimensional velocity field that is linear in both spatial directions (x and y) is -(u,v)-(U+a+by)+(Va+b,y)j where U and V and the coefficients are constants. Their dimensions are assumed to be appropriately defined. a) Calculate the x- and y-components of the acceleration field. b) What relationship must exist between the coefficients to ensure that the flow field is incompressible? c) Calculate the linear strain rates in the x- and y directions. d) Calculate the shear...
1. A general equation for a steady, two-dimensional velocity field that is linear in both spatial directions (x and y) is h) where U and V and the coefficients are constants. Their dimensions are assumed to be appropriately defined. a) Calculate the x- and y-components of the acceleration field b) What relationship must exist between the coefficients to ensure that the flow field is incompressible? c) Calculate the linear strain rates in the x- and y-directions. d) Calculate the shear...
Consider a steady, two-dimensional, incompressible flow field in the x-y plane. The linear strain rate in the x-direction is 1.65 s−1. Calculate the linear strain rate in the y-direction. The linear strain rate in the y-direction is s−1
Consider a steady, two-dimensional, incompressible flow field in the x-y plane. The linear strain rate in the x-direction is 1.8 s−1. Calculate the linear strain rate in the y-direction. The linear strain rate in the y-direction is
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...
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