This problem is from "Boundary Layer Analysis" 2.3 Consider a flat plate in a fluid medium that is at rest, except for a line sink located on the plate surface at x = L, as shown in the following sketch. Suppose the inviscid velocity field produced by the sink is v,C(L/r), where r is the radial distance from the sink to any point in the flow. Determine the momentum thickness distribution 0(x). x=0 Please explain every thing. x=L

This problem is from "Boundary Layer Analysis" 2.3 Consider a flat plate in a fluid medium that is at rest, except for a line sink located on the plate surface at x = L, as shown in the following sketch. Suppose the inviscid velocity field produced by the sink is v,C(L/r), where r is the radial distance from the sink to any point in the flow. Determine the momentum thickness distribution 0(x). x=0 Please explain every thing. x=L

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Consider a velocity field where the x and y components of velocity aregiven by u = cy/(x2 + y2) and v = −cx/(x2 + y2), where c is a constant. For vortex flow, calculate: a. The time rate of change of the volume of a fluid element per unitvolume.b. The vorticity.
Converging duct flow is modeled by the steady, two- dimensional velocity field is given by V-›= (u, ? ) = (U0 + bx) i-›− byj-›. The pressure field is given byP = P0 −ρ/2 [2U0 bx + b2(x2 + y2)] where P0 is the pressure at x = 0. Generate an expression for the rate of change of pressure following a fluid particle.
1. For a velocity field described by V = 2x2i − zyk, is the flow two- or threedimensional? Incompressible? 2. For an Eulerian flow field described by u = 2xyt, v = y3x/3, w = 0, find the slope of the streamline passing through the point [2, 4] at t = 2. 3. Find the angle the streamline makes with the x-axis at the point [-1, 0.5] for the velocity field described by V = −xyi + 2y2j
derive equation of stream line in 2 dimensions
An Eulerian velocity vector field is described by V = 2i + yz2tj −z3t3k, where i, j and k are unit vectors in the x-, y- and z-directions, respectively. (a) Is this flow one-, two-, or three-dimensional? (b) Is this flow steady? (c) Is the flow incompressible or compressible? (d) Find the z-component of the acceleration vector.
For the flow field given in Cartesian coordinates by u = 2xt + y, v = −2yt, w = 0: (a) Is the flow one-, two- or three-dimensional? (b) Is the flow steady? (c) Is the flow compressible? (d) What is the vector acceleration following a fluid particle?
Two velocity components of a steady, incompressible flow field are known: u = 2ax + bxy + cy2 and ? = axz − byz2, where a, b, and c are constants. Velocity component w is missing. Generate an expression for w as a function of x, y, and z.
An Eulerian velocity vector field is described by V = 2x2yi − 2xy2j − 4xyk, where i, j and k are unit vectors in the x-, y- and z-directions, respectively. (a) Is the flow one-, two- or three-dimensional? (b) Is the flow compressible or incompressible? (c) What is the x-component of the acceleration following a fluid particle? (d) Bonus question: Is the flow irrotational?
Q2 Fluid mechanics With respect to the stream function, develop the superposition for two cases: - Uniform + Dipole - Uniform + Dipole (a->0)
In a 2D dimension incompressible flow , if the fluid velocity components are given by u = x-4y , v = -4x then stream function y is given by
A steady, two-dimensional, incompressible velocity field has Cartesian velocity components u = Cy/(x2 + y2) and ? = −Cx/(x2 + y2), where C is a constant. Transform these Cartesian velocity components into cylindrical velocity components ur and u?, simplifying as much as possible. You should recognize this flow. What kind of flow is this?
For an Eulerian flow field described by u = 2xyt, v = y3x/3, w = 0: (a) Is this flow one-, two-, or three-dimensional? (b) Is this flow steady? (c) Is this flow incompressible? (d) Find the x-component of the acceleration vector.