Score: 2. Calculate the acceleration field if a two-dimensional velocity field in the zy-plane 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
(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:
Acceleration, Velocity, and Displacement Vector Part A A particle moves in the zy plane with constant acceleration. At time t o а 8.9 m s2z + 8.8 m 82 y. The velocity vector at time t 0 s is-8.9 m/s z s, the position vector for the particle is # 3.40m +1.80m g. The acceleration is given by the vector 9.20 s 2.4 m sy. Find the magnitude of the velocity vector at time t Submit Answer Unable to interpret...
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
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.
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).
Q1. (a) The velocity components of a certain two-dimensional flow field are claimed to be given by u =-Cy and v = Cx , where is a constant. (i) Does this velocity distribution satisfy continuity? If yes, what is the stream function y? (8 marks) (ii) Analyse whether the flow is rotational or irrotational. What is the velocity potential o ? (4 marks) (iii) Sketch several y and © lines (if exist) of the flow field. Briefly explain how you...
PTUURBIJ + 5. Velocity field of a 2-dimensional flow motion of an inviscid and incompressible fluid is given by, u=x', v=y', w=0 a) Fluid velocity and the magnitude of velocity at a point M(-3,2). b) Fluid acceleration and its magnitude at a same point.
0 A particle moves In the zy plane with constant a velocity vector at time t 0 s is e-8.00m/eェ-7,50m sy. Find the magnitude of the velocity vector at time t-4.30 s. At time t = O s, the position vector for the particle is r 7.20m Z + 8.40my. The acceleration is given by the vector ā 8.40m/82z + 8.00 n/-, The Tries 0/6 Part B What is the angle between the velocity vector and the positive x-axis at...