Problem 9-A Consider the following steady, three-dimensional velocity field in Cartesian coordina...
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...
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 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.
Problem #5 Consider a steady, incompressible, inviscid two-dimensional flow in a corner, the stream function is given by, -xy a) Obtain expressions for the velocity components u and v b) If the pressure at the origin, O, is equal to p o obtain an expression for the pressure field Sketch lines of constant pressure c)
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).
4) Stream function Consider a steady, 2D, incompressible flow with velocity field u(,0, where U, h are constants. Determine the stream function p for this flow. For simplicity take ( 0)0
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.
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
Meng334(fluids mechanics) plz solve it fast in 10 mins please Q2: A steady two-dimensional, incompressible flow of a Newtonian fluid with the velocity field: v = y2-x2 u-2 x y and w 0 (a) Does the flow satisfy conservation of mass. (b) Find the total pressure gradient VP) (c) Show that the pressure field is a smooth function of x and y. Don't compute the pressure. (9x 9y 0) = Q2: A steady two-dimensional, incompressible flow of a Newtonian fluid...