Answered: B/The three components of velocity in…

B/The three components of velocity in the flow field are given below. Determine an expression for the rotation vector. Is this an irrotational flow field? u + y' + 2 Dxy + yz + z w -3xz-z /2 + 4

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

Related questions

Q: for the following flows, find the equation of the streamline through(1,1). v= -y^(2)i-6xj

A: Given:Velocity vector, V=-y2 i-6 x jPositio of point, x, y=1, 1Find:The equation of streamline

Q: The flow function for a flow field is given as ψ=x2*y-(y3/3). Find the speed potential. Provide…

Q: An incompressible fluid flows in the converging pipe. A=Ao*(1-b*x) is given for pipe area. Input…

A: Given relations and parameters: The acceleration at the center of pipe can be calculated as,

Q: 3.4 The stream function in a two dimensional flow field is given by y = x² - y? The magnitude of the…

Q: Plot the streamlines for the following equations passing from the given points. Use the chart type…

A: The problem is that the constant C will vary for each stream line Streamline 1 y=3x^2+c given that…

Q: A ship is on a heading of 040° at 20 knots and a 2 knot current is flowing from 010°. Determine the…

A: Given: The direction of ship, α = 40° The direction of current, β = 10° The speed of ship, Vs = 20…

Q: 3.3. The velocities at a point in a fluid in the Eulerian system are given by ux+y+z+s =2(x + y + z)…

A: Please Rate if this solution helps youThank You

Q: The x and y components of velocity for 2D flow are u=6y ft/s, and ??=3 ft/s, where y in feel.…

A: Given data: u=6y ft/s v =3 ft/s Need to determine the equation of streamline.

Q: The system, dx = −12+ 16x + 3x² - 4x³ dt is a potential flow.

Q: QI A/ The inviscid, steady, and incompressible 2D flows are given by (a) o = x-3xy (b) y =x- 2xy-y?…

A: Velocity potential functionφ is defined as a scalar function of space and time such that its…

Q: 6.4 The three components of velocity in a flow field are given by u- + y + v - xy + yz + w- -3xz -…

Q: Th valve of an oil carrying duct shown in the Figure is being closed such that the oil particles…

A: Given Data

Q: coordinates are in meters. Determine whether the flow field is three-, two-, or one-dimensional.…

Q: A velocity field is defined as follows which describes airflow V(x, y, z) = (2x −4z)i + (−2y+3z)j +…

Q: Problem 3: A fluid has a velocity field represented by V = (u, v) = (÷x²yt ,6x – t)4 where x and y…

Q: Let F( x, y) = { x 2 y, xy 2) be the velocity vector field for a fluid in the plane. Find all points…

A: The points where the angular velocity would be zero is calculated as follows:

Q: Q4- When the flow is completely turbulent, increasing value of Re no. have no effect on the value of…

A: the effect of Reynold no on the friction factor.

Q: The fluid at rest in a storage tank is released by opening the valve at the bottom. The fluid then…

A: Given:To find:(a) particle's maximum acceleration at the given point.(b) Is the flow steady or not.

Q: Consider the velocity field given by u = y/(x2 + y2) and v = −x/(x2 + y2). For the velocity…

A: Given: The radius of the circular path, r = 5 m The radial component of velocity,

Q: operat = 0, dx ду dz + = 0, dx ду dz The above steps are legal only if the flow is, Answers:…

A: Incompressible flow is defined as a flow in which the density of any fluid,remains constant. A…

Q: θ(x,y)=x2-y2+2xy According to the potential equation of a two-dimensional flow in the horizontal…

A: Given data ϕ=x2-y2+2xy

Q: Q1) One dimensional steady fluid flow along x axis is shown in figure. The velocities at point O and…

Q: 12. The velocity of fluid is given by the following equation u(Velocity in x direction)= 2*y &…

Q: 2-D unsteady flow field has the velocity components: v = - x²y?t u = - Plot the streamline passing…

Q: 3. A flow field is defined by the velocity components u = 2x² m/s and v= 8y m/s, where x and y are…

A: 3) We know that slope of streamline tanθ=dydx=vugiven v=8 y m/su=2…

Q: Determine if the flow is compressible. b) Determine if the flow is irrotational. c) Compute the…

A: to check compressibility from continuity equationdudx+dvdy=0d-x+ydx+dx+ydy-1+1=0the fluid is…

Q: What is the acceleration of the following flow field in x-direction, V = (xy)i + (2x –)j? - (a)끌+ 2x…

A: We know, a=dvdxi+dvdyj. (For 2D)

Q: Given the velocity field: u = -x²y² v = xyt How is the flow classified? a.Unsteady and Nonuniform…

A: Given data The velocity field is given byu =-x2 y2v = xyt The given questions are related to fluid…

Q: The three components are as follows: u = 2xt– 3xyz + 6z v = x– yz + 4xyt w = 3x– 5yzt + yz Find…

Q: The three components are as follows: u = 2xt– 3xyz + 6z v = x– yz + 4xyt w = 3x– 5yzt + yz Find the…

A: Let V is the resulatant velocity at any point in a fluid flow. let u,v and w are its components in…

Q: eam function is given by u = 3 xy. Determine (i) The velocity function u, eration component at (1,…

Q: 4. Show that the velocity field V = 2y(2x + 1)î + [x(x+1) – 2y²1j represents a possible…

Q: Given the vector equation below for velocity of a given fluid: V=(0.5+1.2x)i + (-2.0-1.2y)j, derive…

Q: What is the equation for the streamlines of the flow?

Q: 6. For a two-dimensional flow, the velocity field is ū = 12 jwhere i and j are the basis vectors in…

Q: Given the eulerian velocity-vector field V(x,y,z,t) = 3ti +xzj + ty²k, find the acceleration of a…

Q: According to the potential equation of a two-dimensional flow in the horizontal plane defined as;…

Q: 5- The x and y components of velocity for 2D flow are u = 6y ft/s, and v = 3 ft/s, where y in feel.…

Q: The three components are as follows: u = 2xt– 3xyz + 6z v = x– yz + 4xyt w = 3x– 5yzt + yz Find…

Concept explainers

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

B/The three components of velocity in the flow field are given below. Determine
an expression for the rotation vector. Is this an irrotational flow field?
u + y' + z
Uxy + yz + z
w= -3xz- z/2 + 4

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The velocity field of a flow has the following structure V (r, t) = kxi + kyj + (−kx + αt)k, where k, α are known constants, r = (x, y, z) the vector of position and t time. About this: Identify the components of the velocity field. Calculate the speed of the particles moving about the origin of the coordinate system, for every instant t
Find the two-dimensional velocity potential ϕ ( r , θ ) for thepolar coordinate fl ow pattern υ r = Q / r , υ θ = K / r , where Qand K are constants.
Given velocity fieldV(x,y,z,t) = (5xy² + t)i + (2z + 8)j +18k m/s, with x,y,z in meters and it in seconds. Calculate V(9,-2, 1,4). What is the magnitude of this velocity?
If the velocity field, V=3y2 i. Which of the following is NOT TRUE? Select one: The flow is steady The flow is irrotational The flow is horizontal d. The flow is incompressible
A uniform stream of speed V is inclined at angle ? from the x-axis . The flow is steady, two-dimen sional, and incompressible. The Cartesian velocity components are u = V cos ? and ? = V sin ? . Generate an expression for the stream function for this flow.
CX a) Investigate whether the function o represents the velocity potential x²+y2 of a particular incompressible 2D flow, and if so, what should be the dimension of constant C which has value of 2.
Given the velocity vector field below in the figure:Ask:(a) Determine the equation for the total acceleration of a particle exposed to this field.(b) Determine the local, advective, and total acceleration at the point (x;y;z)=(1;2;3), when time is t = 1s, and sketch the graph of the projection in the y-z plane of the calculated total acceleration.
Problems 2 Find the stream Lines if 2 U = 2 x + Y V =-4xY 19
6.3 The velocity in a certain flow field is given by the equation V = xî + x²zj + yzk Determine the expressions for the three rectangular components of acceleration.
Kajal
If the velocity of an incompressible fluid at a point (x,y,z) is given by (image below) prove that the motion is possible and that the velocity potential is −cosθ/r2. Find the equations of the streamlines where r^2 = x^2 +y^2 +z^2 and θ is the angle between r and the z-axis. Kindly, explain all the steps. :)
Fast plz