velocity field of a fluid medium u= y. Z +E 『= X.そ-七ヒ W = X.y these equotions are given by erive the equations that give the acceleration of the as a function of position and time = the current a , steady current? why?

velocity field of a fluid medium u= y. Z +E 『= X.そ-七ヒ W = X.y these equotions are given by erive the equations that give the acceleration of the as a function of position and time = the current a , steady current? why?

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: Can tutor explain C more clearly on the step as I do not see that formula before So far this the…

Q: y x = r cos 0 V = Or y = r sine r = √x² + y² χ Flow in "solid body rotation" acts like a solid…

A: Solution: The curl of the given velocity vector is zero.

Q: The first time derivative of vector A cross vector B is equal to the first time derivative of vector…

Q: Consider the following three-dimensional velocity vector: V = 4xy² i + fj- z²y² k a) Find the…

Q: For a given hypothetical flow the velocity at time t = 0 to t = 10 s was u = 0, v = 4m/s. Then from…

Q: 1- The velocity field near a stagnation point may be written in the form U = (U₁x)/L v = -(Uoy)/L Uo…

Q: 4 w = 11 rad/s r = 4+0.5cos(40) ft Determine: velocity when 6 = 34 degrees in polar coordinates and…

Q: n undergraduate student of mechanical engineering wishes to calculate the w rate through the pipe…

A: Givenf=0.02V=2gHDfL

Q: The slope of the height h of a surface wave moving in a shallow pool of liquid is related to the…

A: Froude number gives the measurement of bulk flow characteristics of waves, sand bedforms, flow/depth…

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: Q: A flow field is given by: V = (x³y)i +(y°z)j – (2x²yz + yz*)k Prove that it is a case of possible…

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: Shallow-water velocity equation a. Confirm that the linear approximation to f(x) = tanh x at a = 0…

A: a. Suppose that is 'f' differentiable on an interval l containing the point α. The linear…

Q: A fat plate of width L = 1 mis pushed down with a velocity U-0.01 m/s towards a wall resulting in…

A: Given Velocity, U = 0.01 m/s Length, L = 1 m

Q: Use Eq. dx/u =dy/v=dz/w=dr/V to find and sketch the streamlines of the followingfl ow field:u = Kx;…

A: Given Data: The x-component of velocity is u = Kx. The y-component of the velocity is v = -Ky. The…

Q: A steady, incompressible, inviscid 2D velocity field is given by V 2x + 3y- 5)i +(x– y - 2)j…

Q: 1) A steady, incompressible, two-dimensional velocity field is given by the following components in…

Q: In an experiment to determine the force acting on an oval-shaped body, a model is mounted in the…

A: Solution: Given Data: To Find: The total force acting on the model.

Q: The stream function for a progressive small-amplitude wave is psi = - H/2 g/sigma sin h k(h +…

A: Given:To find:Draw the streamlines.

Q: Given the Eulerian velocity vector field: V = 3ti + xzj + ty²k Find the total acceleration of a…

Q: A incompressible, steady, velocity field is given by the following components in the x-y plane:…

A: GIVEN DATA - VELOCITY IN X-DIRECTION u = 0.205 + 0.97x + 0.851y VELOCITY IN Y-DIRECTION v = v0 +…

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

velocity field of a fluid medium
u= y. Z+E
じ= X.そ-七
%3D
W = X.y
these equations ore give by
Al Derive the equations that give the acceleration of the
fluid as a function of position and time
B) B the current a
steady current? why?

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 stream function relation is given as: Y = xy Find the equations for the components of velocity. Check if we satisfy continuity. Also, plot streamlines for a constant y=4 and y=1.
Assumptions The flow is steady. The flow is incompressible. The flow is two-dimensional in the x-y plane V = (u, v) = (U, + bx) ỉ - byj %3D We are to calculate the material acceleration for a given velocity field. (None = b( U, +bx) a. y b? y = b( U, +by) ax b2 x (Uo +bx) = b y a, II
The velocity for a steady, incompressible flow in the xy plane is given by u=Ax², v= Ayx, where A= 1.2 m1s, x and y in meter. Find the the curl of the velocity vector at the point (0.04 m, 0.01 m): O 0.0000 O 2.3999 O 0.0120 O 0.0005 O 0.0019 O 1.1999 O 0.0000 O 1.2000
1. Stagnation Points A steady incompressible three dimensional velocity field is given by: V = (2 – 3x + x²) î + (y² – 8y + 5)j + (5z² + 20z + 32)k Where the x-, y- and z- coordinates are in [m] and the magnitude of velocity is in [m/s]. a) Determine coordinates of possible stagnation points in the flow. b) Specify a region in the velocity flied containing at least one stagnation point. c) Find the magnitude and direction of the local velocity field at 4- different points that located at equal- distance from your specified stagnation point.
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?
Question 2 (Potential flow) a) The velocity component of an incompressible and 2-dimensional flow is given by Determine i. ii. iii. u = -x + 4y v = 2x - y The resultant velocity at point (-1m, 1m) The stream function The velocity potential
hi there, i need help with this question. can you give me step by step instructions. thank you.
1 Velocities are measured at different locations using a data logger and the field is given by the technician in the following vector form. Given that. du du ax = +u-+v. +w du du ôt əx ду əz V = 3tî +xzj+t Find the magnitude of velocity and acceleration at point (1,1,1) at time t = 1 second. Write the acceleration vector. If the fluid is incompressible, show that the flow field satisfies the conservation of mass. zj+ty²k m/s Əv dv dv Əv +u- +v +w- at Əx ду əz dw dw dw dw + w a ₂ = +u Ət Əx dy əz +v
navier stokes
How would I calculate the fluid acceleration along the nozzle centerline. Here, there is steady flow of water through an axisymmetric garden hose nozzle and alongthe centerline the water speed increases from uentrance to uexit . The centerline water speed increases parabolically through the nozzle. What would be an equation for centerline speed u(x), based on the parameters given in the drawing from x = 0 to x = L ?
This question is from the subject "Fluid Mechanics"
A two-dimensional velocity fi eld is given byV = (x2 - y2 + x)i -(2xy + y)jin arbitrary units. At ( x , y ) = (1, 2), compute ( a ) theaccelerations a x and a y , ( b ) the velocity component in thedirection θ = 40 ° , ( c ) the direction of maximum velocity,and ( d ) the direction of maximum acceleration.