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: WithStheSempirical$questions$below, Sderive$forStheSheadSlossSequationsSwithSrespectStosd…

Q: The velocity of a moving flow is given by the following vector V = xi + x(x – 1)(y + 1)j | prove…

Q: y = 2r'sin20 (2) 0.5 m A 2D inviscid incompressible fluid flow around a corner is In addition, if…

A: Given:- stream function ψ=2r2sin2θ, where ψ has units of ms2,r is in meters. fluid density=103kgm2…

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

Q: Question-1: the velocity of a permanent, uncompressed three-dimensional flow is defined below. V =…

A: Velocity and acceleration are given of a permanent, compressed three dimensional flow is given by,…

Q: 3. The two-dimensional velocity field v = (3t- 8xy)i+ 4(y – x')j satisfies the Euler's equation of…

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

Q: The velocity field of an incompressible flow is given by V = (a,x + a,y + azZ)i + (b,x + b,y + b3z)j…

A: Answer: The value of b2 is 2.

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

Q: Consider a steady two-dimensional flow with the velocity field in the Cartesian coordinate system is…

A: Given, u=-Ax v=Ay A is constant

Q: The velocity field of an incompressible flow is given by V = (a1x + a2y + a3z)i + (b1a + b2y + bzz)j…

A: Given, V = ( a1x + a2y + a3z ) i + ( b1x + b2y + b3z ) j + ( c1x + c2y + c3z ) k a1 = 2 c3 = -4…

Q: Given: Within a certain region the Eulerian components of velocity are as follows: v, = -A(x'+xy')e…

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

Q: Consider a stream of R-134a is throttied by a valve from 0.9 MPa and 30°C to 02 MPa Determi the rate…

A: Given: The inlet pressure, Pi = 0.9 MPa The inlet temperature, Ti = 30°C The exit temperature, Pe =…

Q: Water flowing with a velocity of V₁ in a pipe is turned to flow in the x- direction. What is the…

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

Q: The stream function for an incompressible flow field is given by the equation ψ=3x2y+y3 where the…

A: (a) To sketch: The streamline passing through the origin. Given: The stream function for an…

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: A flow can be described by the following equations. u =x cos y and v =-2x siny. Then flow is (A)…

A: Given:u=x2 cosyv=-2x siny

Q: (c) The 3-plane pattern of a flow is given by w= 3(z + %). Determine the velocity V W = and the…

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: A velocity field is given as V (x,y,z,t)=(5xy^2+t) I+ (2z+8) j+18 k. Here x,y and z are in metres…

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

Q: velocity field is given by: A two-dimensional V = (x - 2y) ï- (2x + y) j a. Show that the flow is…

A: V= (x-2y) i^- (2x+y) j^

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: A flow is described by velocity V=ay i+bt j ,a=1s-¹ and b =.5m/s².at t=25s,what are the coordinates…

A: we know thatVelocity V=dydtdydt=btdy=bt.dtintegrating both sides we get∫y0ydy=∫t0tbt.dty-yo=br220t

Q: the constants 1, m, and m

A: L , m , n are the constrains of above equations.

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: B/The three components of velocity in the flow field are given below. Determine an expression for…

Q: The velocity components in spherical coordinates of the axisymmetric uniform flow of a viscous fluid…

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

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

Q: 19. The velocity vector for a one-dimensional, steady, incompressible flow in the channel shown…

Q: A uniform stream of speed V is inclined at angle ? from the x-axis . The flow is steady, two-dimen…

A: A stream function is defined as the scalar function of space and time such that its partial…

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

5. Find the rate at which a fluid flowing with constant velocity u (3,0,-1) crosses each of the following triangles: (а) [(-2, 1, 0), (5, 3, -1), (8, -5, 2)], (b) [(8, -5, 2), (5, 3,-1), (-2, 1,0)), (c) [(1,-1,0), (2, 0, 2), (3, –2, –3)), (d) [(0,0,0), (0, 1,0), (1,0,0)], (e) [(1,0,0), (0, 1,0), (0,0, 1)], (f) [(0,0,0), (0,0, 1), (0, 1, 0)), (g) [(0,0,0), (1,0, 0), (0,0, 1)].
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.
A flow field is given by V=x^2*yi+ y^2*zj−(2xyz+ y z^2) k(a) Prove that it is a case of possible steady incompressible fluid flow (clue: use continuity equation)(b) Calculate the velocity and acceleration at the point (2,1,3)
Q1) One dimensional steady fluid flow along x axis is shown in figure. The velocities at point O and X2 as from uo= 3 m/s and u2= 12 m/s. Assuming that the velocity is varying linearly with the o3 m/s distance through x axis, Uz= 12 m/s X, 0.10 m a) Calculate accelerations at O, X, and X2 points. b) Determine the flow is incompressible or not. -0.20 m-
Need solution Within Hour. Answer must be Right.
Please don't provide handwritten solution...
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
I need unique and correct answer. Don't try to copy from anywhere. Do not give answer in image formet and hand writing
The equation shown is the continuity equation for steady, compressible flow. P1Q1=P2Q2 TRUE FALSE
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). ...
10 m 1 m 1 m/s Figure 2 Electricity transmission tower Consider 2D, incompressible, steady flow in a vertical channel at a Reynolds number of 100. This channel flow is shown schematically in the figure below. The figure is not drawn to scale. NEGLECT GRAVITY for the sake of simplicity. Channel length 1 and width w are 10 m and 1 m, respectively, as shown in the figure. Assume thickness= 1 m in the z-direction. The velocity is constant at the inlet, in the y-direction and equal to 1 m/s. The Reynolds number is defined as Re . pvw fl where v is the average velocity at any cross-section. Take p = 1 kg/m3 and adjust μ to get the desired Reynolds number. The absolute pressure at the outlet is 1 atm. Note that the cross-section is a square of 1m by 1m. Contrast this to the laminar pipe flow considered earlier where the cross-section was circular. When the cross-section is square or rectangular, this type of a flow is referred to as a channel flow. When the cross-section is circular, the…
Please fast only final answer needed