Consider the following steady, two-dimensional, incompressible velocity field V - (10x +2) i+ (-10y -4) j....
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 two dimensional velocity field ~v(x, y) = −xy3ˆi + y 4 ˆj. (a) Sketch a figure of the streamlines for this flow field. Include arrows on your streamlines to indicate the direction of the flow. (b) Is this flow field incompressible or compressible? Show all work. (c) Derive an expression for the vorticity vector ~ζ for this flow field. (d) Is this flow field rotational or irrotational? Provide some evidence in support of your 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).
Question: 1115 Marks Consider a steady, two-dimensional, incompressible flow field called a source strength Q. Generate an expression for the stream function for this flow. (S Marks) a. , with flow b. Potential flow against a flat plate (Fig. 1a) can be described with the stream function where A is a constant. This type of flow is commonly called a stagnation point flow since it can be used to describe the flow in the vicinity of the stagnation point at...
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)
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
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?
The stream function for an incompressible, two- dimensional flow field is v-ay-by where a and b are constants. a) Is this an irrotational flow? Governing Equation:
Q1.a) Consider a two dimensional, incompressible flow in cylindirical coordianates; the tangential velocity component is uq K/r, where K is a constant. Generate an expression for the other velocity components, u.. b) Velocity profile in the pipe flow is given Determine; i) Potential and stream functions, ii) Define the stream function at the wall iii) Draw the stream and potential lines in the pipe flow Q1.a) Consider a two dimensional, incompressible flow in cylindirical coordianates; the tangential velocity component is...
A two dimensional incompressible flow is given by the velocity field V = 3yi + 2xj, in arbitrary units. Does this flow satisfy continuity? If so, find the stream function ψ(x,y) and plot a few streamlines, with arrows.