A general equation for a steady, two-dimensional velocity field that is linear in both spatial directions...
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
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
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...
Problem 9-A Consider the following steady, three-dimensional velocity field in Cartesian coordinate: u,V, W where a, b, c, and d are constants. Under what conditions is this flow field incompressible? Problem 9-A Consider the following steady, three-dimensional velocity field in Cartesian coordinate: u,V, W where a, b, c, and d are constants. Under what conditions is this flow field incompressible?
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
The following two-dimensional incompressible flow field is given: u = x2y v = x (1 – y2) Find pressure distribution, i.e., P=P(x,y), assuming no gravity in x and y directions. 1) The following two-dimensional incompressible flow field is given u-xy Find pressure distribution, ie, p-P(y), assuming no gravity in x and y directions.
(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:
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).
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