Answered: d flow is represented by the velocity =…

d flow is represented by the velocity = 2xi + 4yj . The equation of stream line paSSI gh a point (2, 4) is - y =0 (b) x- y2 0

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: (b) Two velocity components of a steady, incompressible flow field are given as follows; и 3 2ах +…

Q: 3. The two-dimensional velocity field in a fluid is given by V 2ri+ 3ytj. (i) Obtain a parametric =…

Q: Q14: The position of a particular in a flow field is given by X, = C,eat ,y, = C2 e-bt, Find the…

A: Given Data: The position in the horizontal direction is, xp=C1eat. The position in the vertical…

Q: A two-dimensional flow field is given by the equations: u = ax + by V = Cx + dy Give one possible…

A: Given, u = ax + byv = cx + dy We can use continuity equation for incompressible flow in order to…

Q: The velocity components in the x and y directions 3 are given by u = Axy3 -x2y, v = xy² -y'. y*. The…

A: For solution refer below images. From the given datau=λxy3-x2y →velocity in x-directionv=xy2-34y4 →…

Q: 2. In a two dimensional incompressible fluid flow, the velocity components are given by: u=(x-4y)…

Q: Q4: The velocity components for a two dimensional incompressible flow are u = - 6xy, v=-3x2 + 3y2 1)…

Q: Consider the cylindrical polar velocity field given as V, = 0, V = 0, and Ve(r) such that: or rs R…

Q: Calculate the location of stagnation points if the velocity components in a 2D flow field are given…

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

A: Given, Stream function = Ψ = x2 - y2 Velocity in x-direction can be given by, u = - ∂ψ∂y= -∂∂y x2…

Q: A two-dimensional flow field is given by u = 5x 2 − 5y 2v = −10xy (i) Find the streamfunction ψ and…

Q: Show that the incompressible velocity potential in plane polar coordinates o(r, 0) is such that аф 1…

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

Q: For a 2-D irrotation flow, the velocity potential is defined as o = log, (x + y). Which of the…

Q: (d) Calculate the amount of a fluid per unit of time that crosses the paraboloid cylindrical S:…

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: In cylindrical polar coordinates (r, theta, z), the velocity components of a flow field are given as…

A: Given details: vr=r2zcosθ r=0.5mvθ=rzsinθ z=1mvz=z2t θ=π4 Formula…

Q: If stream function Y = 2xy, then the velocity at a point (1, 2) is equal to (а) 2 (c) /20 (b) 4 (d)…

A: Given, Stream function = ψ = 2xy x component of velocity is given by, u = ∂ψ∂y= ∂∂y (2xy)= 2x y…

Q: The velocity field for a flow is given by V-›= ui-›+ ? j-›+ wk-› where u = 3x, ? = −2y, w = 2z. Find…

A: Given data

Q: Define rotational and irrotational flow. The stream function and velocity potential for a flow are…

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: The velocity components for a three dimensional incornpressible flow is given by : u=x'-y-2x,…

Q: 03: A/ a stream function is given by: 4 = 2x'y+(x+t)y² .Find the velocity equation for fluid at the…

Q: 3- The velocity components in a three dimensional fluid flow are: U=x'+y°z? , v=-(xy+yz+zx)…

A: We are suppose to solve only one question. Please post other question as a separate question.

Q: Consider the velocity field f= 2xi - y} A) Get an equation for flow lines. B)Draw a flow line…

A: Velocity components of fluid in x and y directions: u=2x v=-y

Q: The stream function is given by y =-4xy. Then the magnitude of velocity at point (2,4) m/s.

A: Given Stream function = -4xy Point = 2,4 Find Magnitude of velocity, V

Q: 4. Show that v = 3xi+ (t- 6xy)j is a possible fluid velocity fo unsteady flow of a homogeneous…

A: GivenV=3x2i+t-6xyjandF=6yti+18x2yj

Q: 2) Convert the following equation from stream to potential: y = rsin0 – 2r²cos0 + 4r³

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: V = axi + ayj, where a is a constant. The equation %3D of stream line passing through a point (1, 2)…

A: Given data; A fluid flow is represented by the velocity field which is given as;…

Q: The velocity field given by V = Axi-Ayj represents flow in a ngular corner. Evaluate the circulation…

Q: It is given as u = 2 (1 + t), v = 3 (1 + t), w = 4 (1 + t) in a flow field. Accordingly, find the…

A: The velocity components are given as, u=21+tv=31+tw=41+tx=3y=2z=4t=2 The velocity vector can be…

Q: Consider the steady, two-dimensional velocity field given by V-› = (u, ?) = (1.6 + 2.8x) i-› + (1.5…

A: Given data: The two dimensional component, (u,v) = (1.6+2.8x)i + (1.5-2.8y)j. The condition for…

Q: Given the steady, incompressible velocity distribution V =3 x i + Cy j + 0 k , where C is a…

Q: Two velocity components of a steady, incompressible flow field are known: u = 2ax + bxy + cy2 and…

A: Given u = 2ax+bxy+cy2 v = axz-byz2 assumptions The fluid flow is steady The flow is…

Q: A steady, two-dimensional velocity field is given by…

A: Given:

Q: The stream function for a given 2D flow fields is V = 5x²y – (s/3)y Determine the corresponding…

A: Given data Stream function,ψ = 5x2y - s3y3 We have to find the corresponding velocity potential.

Q: The velocity field for a flow is given by: V (5x+ 6y+7z) i- (6x + 5y + 9z)j + (3x+ 2y + Az)k and the…

Q: onal flow field is give

A: given: φ=x2-y2

Q: Stream function for a flow field is "y=x?*y-(y/3)" Find the speed potential, give detailed…

Q: Establish the equation of continuity for an incompressible fluid in the form V.V = 0 , V(u, v, w)…

Q: 2.25 Consider the flow field V = axti+ bj, where a= 1/4 s-2 and b=1/3 m/s. Coordinates are measured…

A: Given: Velocity of the flow field is, V=axti+bj where, a=1/4 s-2 and b=1/3 m/s Point at time t =0,…

Q: For a 2D flow, the velocity potential function is given by = x -", find the velocity at points (2,…

Q: velocity field is given by 2xyi -yʻj. The streamlines for this flow are given by the family of…

A: Given , Two dimensional incompressible flow, Velocity field is given by=2xyi-y2 j so, we…

Q: Q.1 b) 1. Find the velocity at a point (4, 3, 1) after 2 sec. for a three dimensional flow given by…

A: In a flow field, the fluid moves in such a way that the mass is always conserved. This is known as…

Q: Q4: The velocity components for a two dimensional incompressible flow are - 6xy, v = -3x² + 3y2 1)…

Q: H.W : a stream function is given by : Y = 2x?y + (x+t)y Find the velocity equation for fluid at time…

Q: The stream function o in a two-dimensional flow field is given as p = 4x – 3y + 7xy (a) Prove that…

Q: Problem 1 Given a steady flow, where the velocity is described by: u = 3 cos(r) +2ry v = 3 sin(y)…

A: Given velocity component , u=3 cos(x) + 2xy2 v= 3 sin(y) + 2x2y For a stream function to exist the…

Concept explainers

Layout

The layout is a way of organizing the elements, products, and raw materials in a design. The layout is the representation of information in a structural, logical, descriptive, coherent form.The layout is a mapping of various equipment arrangements, workstations, machinery, plants, and more. It secures the continuous movement of a product quantity along with the quality.

Question

Urgent please

A fluid flow is represented by the velocity = 2xi +4yj. The equation of stream line passing
through a point (2, 4) is
(a) x2-y 0
(c) x² +y = 0
(b) x- y2 0
(d) x+ y2 0

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 1 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

Give me right solution according to the question. Consider the flow along a streamline below. The velocity along streamline is given by V=(0. 4 S2 ) e-4t m/s. At t=2s, what is the velocity component along n-axis at the Point A? The radius of curvature at Point A is R=0.5 m
A velocity field is given by V= xi+ x(x-1)(y+ 1)j, where x and y are in feet. Plot the stream line that passes through, x= y= 0 for the range, -1 ≤ x≤ 3 and -0.5 ≤ y≤ 3.5
A potential steady and incompressible air flow on x-y plane has velocity in y-direction v= - 6 xy . Determine the velocity in x-direction u=? and Stream Function SF=? ( x2 : square of x ; x3: third power of x ; y2: square of y , y3: third power of y)ANSWER: u= 3 x2 - 3 y2 SF= 3 x2 y - y3
For the flow field described by u = 2, v = yz2t, w = −z3t/3. (a) Is this flow one-, two-, or three-dimensional? (b) Is this flow steady? (c) Is this flow incompressible? (d) Find the z-component of the acceleration vector.
Given the steady, incompressible velocity distributionV = 3 x i +Cy j + 0 k , where C is a constant, the shear stressτ xy at the point ( x , y , z ) is given by( a ) 3 μ , ( b ) (3 x + Cy ) μ , ( c ) 0, ( d ) C μ , ( e ) (3 + C ) μ
The velocity components of an incompressible, two-dimensional field are given bythe following equations: u(x,y) =y^2 -x (1+x) v(x,y) = y(2x+1) Show that the flow field is (a) irrotational and (b) satisfies conservation of mass.
2- Consider the flow in rectangular coordinates given by v=i(X3Y)+j(2yx2z). Based on the continuity equation, verify that the fluid is compressible.
Velocity field of an incompressible flow is given by V = 6xi − 6yj (m/s) a) Find the pathlines in x-y plane. Make a sketch of pathlines for x ≥ 0 and y ≥ 0. b) Find the streamlines. Make a sketch of streamlines for x ≥ 0 and y ≥ 0. c) At time t = 0 s, the position of a rectangular fluid element ABCD is described by the corner points A(1,3), B(2,3), C(1,2) and D(2,2). Determine the new position of the fluid element at time t = 1/6 s
1. Find the velocity at a point (4, 3, 1) after 2 sec. for a three dimensional flow given by Eq.1. ? 2. Determine whether the continuity equation is satisfied? 3. Show that this flow is kinematically possible? 4. Is the fluid flow irrotational?
If the stream function is y = 2xy, then the velocity at a point (1, 2) is equal to:
Velocity components in the flow of an ideal fluid in a horizontal plane; Given as u = 16 y - 12 x , v = 12 y - 9 x a) Is the current continuous?(YES OR NO) b) Can the potential function be defined?(YES OR NO) c) Find the unit width flow passing between the origin and the point A(2,4). (y(0,0)=0) d) Calculate the pressure difference between the origin and the point B(3;3).
The stream function of an unsteady two-dimensional flow field is given by ? = (4x/y2 )t Sketch a few streamlines for the given flow on the xy-plane, and derive expressions for the velocity components u(x, y, t) and v(x, y, t). Also determine the pathlines at t = 0.