Answered: What is the acceleration of the…

What is the acceleration of the following flow field in x-direction, V = (xy)i + (2x –)j? - (a)끌+ 2x (b) 필 + 2x2 (9)y (d)플+ 2x2

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

Q: The velocity components are given by in the following case u =x' +y +z, v =-xy- yz -x Find the third…

A: Given: u=x3+y+zv=-x2y-yz-x

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: velocity field v = t2 (x2y, xy2) in cartesian plane. 1. is the flow compresible or incompresible?…

Q: Determine the velocity vector and resultant acceleration at point (1, 3). Is the flow physically…

Q: V = Vx ((r+ yz)i)

Q: If for a two-dimensional potential flow, the velocity potential is given by : 0 = 4.x(3y – 4),…

Q: For the following velocity field, determine the constant a for having an incompressible fluid flow.…

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: Question 2. In fluid dynamics, a "stagnation point" in a moving fluid is a point where the veld the…

A: To find: A non constant velocity vector field in R2 having stagnation point at 1,2.

Q: Use the case V(u,v)=(8−ax)i^+(4−b^2y)j^ to evaluate the magnitude of velocity and acceleration at…

Q: Sketch the stream lines represented by y = xy. Also find out the velocity and its direction at point…

Q: (b) Figure Q1 (b) shows plane to be treated as a particle moving along the path of cquation y =…

Q: For the velocity components given as : u = ay sin xy, v = ax sin xy. Obtain an expression for the…

Q: Calculate the material acceleration for the following steady, incompressible velocity field:

A: Given: Velocity fieldV→=0.5+0.8xi^+1.5-0.8yj^

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: 4) Using the potential flow theory, derive the potential flow velocity of a flow around a circular…

Q: Q1. The material time derivative in the x and y direction for a 2D flow are given by: Dv Du du du du…

Q: A velocity field (V) is specified as: V =5x²î +6zî + 4x'tk (units of velocity in [m/s]) Calculate…

Q: 1. A flow in the x-y plane is given by the following velocity field: u-3 and v=6m/s for 0<t<20s;…

A: a)In the given problem, for the given particle released at t= 0 s,and u = 3m/s and v = 6 m/sDuring…

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

Q: 1. If u 3x*yt and v- -6x'y*t° answer the following questions giving reasons, Is this flow or fluid:…

A: a. if the flow satisfy the continuity equation then it said to be possible flow ∂u∂x+∂v∂y=0…

Q: If the velocity field is defined by V =-2xyi + y°j, determine the circulation around a path enclosed…

Q: A fluid flow is given by the velocity field: V = (-2xe")î + 2(e +x*e2*)j a) Is this flow field 1-D,…

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

Q: It is given that the two dimensional velocity field of a fluid flow can be expressed as: V = (u, v)…

Q: A 2D velocity field is given by V = (u, v) = (0.9 + 1.85x, 1.4 - 1.6y), where the coordinates are in…

A: The calculated sum of x and y components of the velocity at the point (1, 2 ).

Q: velocity field V=xy^2 ti+zxj-t^3 k exists at the 3D plane along a streamline that passes through the…

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

Q: An unsteady, incompressible, velocity field is given by the following vector: V = (u, v, w) = (−7t…

A: Velocity vector, V→=u,v,w=-7t+3.5xy+2.2yi→+2t+3x-1.6yj→+5+4zk→Point, x,y,z,t=-1,2,1,2

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

Q: Ux = -ax Uy = ay Using the streamline equations show the streamlines of the flow as well as stating…

A: Given data ux=-axuy=ay Here, ux and uy is the speed of the flow in X and Y direction. Now we have to…

Q: An unsteady, incompressible, velocity field is given by the following vector: V = (u, v, w) = (t +…

A: Given: Let us consider the given velocity field in vector, V→=u,v,w=t+5x-7yi→+-3yj→+2t-4zk→ To find:…

Q: 3) A car is traveling along the circular curve of radius r300 ft. At the instant shown, its angular…

A: Solution:

Q: Figure Q1 (b) shows plane to be treated as a particle moving along the path of cquation y = 0.4x. At…

Q: 0. A velocity vector is given as V = (xyzt)i -(xy2r²)}+0.5z²(x² – yr)k . Find he vector representing…

Q: Given velocity fieldV(x,y,z,t) = (5xy² + t)i + (2z + 8)j +18km/s, with x,y,z in meters and it in…

Q: From the figure shown, the diameter of each segment is indicated. Determine the average normal…

Q: In Cartesian coordinates (x, y, x), the velocity of a three-dimensional flow in x and an…

A: Given:The velocity components:u=3 x y2w=4 y z2Numerical magnitude of the speed, V=15 units at…

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

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

What is the acceleration of the following flow field in x-direction,
V = (xy)i + (2x –)j?
-
(a) 끝 + 2x (b) + 2x2 (e)y (d) 플+ 2x2
x²y
y?x

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

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

Which of the following situations is INCORRECTLY paired to its probable type of flow? Select one: O a. Flow of currents in Manila Bay: UNIFORM O b. Flow in a natural river during a flood event: UNSTEADY O c. Flow of water in a laboratory flume with constant discharge: STEADY O d. Flow in a converging pipe: NON-UNIFORM Consider the velocity field, V the magnitude of the y-component of the acceleration, ay in m/s², at point (2,1) in the velocity field? Answer: = · (x² + y² − 4)i + (xy — y)j, where x and y are in m and V is in m/s. What is - Consider the velocity field, V = (x − 2y)i — (2x + y)j. What is the value of the velocity potential function at the point (2,3)? Answer:
Need solution Within Hour. Answer must be Right.
A steady incompressible 2-D velocity field is expressed as follows: V = (2.4–3x + 0.5y)i + (0.45 +1.6x – 4.4y)j. - Determine the following at the location (x, y) = (-1,0). a. Particle acceleration. ā = v it v j+ 0 v k. -16.775 13.7 b. Vorticity. = v i+ 0 v j+ 1.1 v k. c. The divergence of the velocity. div(V) -7.4 1/s. d. Where is the stagnation point for this flow? (x, y)stag ( 0.8698 0.4185 V ). %3D
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.
In Cartesian coordinates (x, y, x), the velocity of a three-dimensional flow in x and an incompressible motion in three directions in the x and z directions are given below. u=3.x.y2 w=4.y.z2 If only the numerical magnitude of the speed in (1,2,1) coordinates is 15 speed units a) What is the Velocity expression in the y direction b) what are the acceleration components in the three directions c) Calculate the resultant acceleration at point (3,1,2)
A:IV In. In. . pur. Fluid Mechanics Assis.Professor Dr. Hasan Ali Jurmut HOMEWORK Q/A two-dimensional flow field has velocities along the x and y directions given by u = x2t and v = 2xyt, respectively, wheret is time. Determine the acceleration .If the time is(5 sec.) at point (3,5). ...
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
4
Dentrance x=0 uentrance FIGURE P4-21 u(x) lexit x = L Dexit 4-22 For the velocity field of Prob. 4-21, calculate the fluid acceleration along the diffuser centerline as a function of x and the given parameters. For L = 1.56 m, uentrance = 22.6 m/s, and exit = 17.5 m/s, calculate the acceleration at x = 0 and x = 1.0 m. Answers: 0, -96.4 m/s²
Correct answer only
Needs Complete typed solution with 100 % accuracy.
Question 4: A velocity field is given as below: V =-3xî +3zk a) Determine if the flow filed is compressible or not b) Determine the flow field is rotational or not