A steady, incompressible, two-dimensional (in the x-y plane) velocity field is given by V = (0.523-1.88x...
(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:
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).
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 1.8 s−1. Calculate the linear strain rate in the y-direction. The linear strain rate in the y-direction is
can you solve the last question (e) Q1. Consider a steady, two-dimensional, incompressible flow field has the velocity potential a) b) c) 2 (x-7)(x+y) Determine the velocity components and verify that continuity is satisfied. [4 marks] Verify that the flow is irrotational. [2 marks] Determine the corresponding stream function. [4 marks) Now, consider a steady, two-dimensional, incompressible flow defined by velocity components u = ax + b&v=-ay + cx, where a, b and care constants. Neglect gravity. d) e) Show...
Consider the following steady, two-dimensional, incompressible velocity field V - (10x +2) i+ (-10y -4) j. Is this flow field irrotational? If so, generate an expression for the velocity potential function. 5.
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
The x and y components of the velocity field of a three-dimensional incompressible flow are given by U = xv; V = -y-1 Find the expression for the z component of the velocity that vanishes at the origin.