The velocity field for a fluid flow is given by following expression:=(0.2x² + 2y+2.5)î +(0.5x+2y² – 6) ĵ+(0.15x² + 3y° + z)kThe strain tensor at (2,1,–1) will be:0.81.25 0.30a) | -1.25-40.30-1(0.8 1.25 0.70b) | 1.2520.30-210.8 1.25 0.30)c) | 1.254-20.30-210.8 1.25 0.30d) | 1.258.-20.821

Answered: Image /qna-images/answer/800a406b-330a-4cac-9757-5bc2766426fb.jpg

The velocity field for a fluid flow is given by following expression: i =(0.2x² +2y+2.5)î +(0.5x+2y² – 6) ĵ +(0.15x² + 3y² + z z)k %3D The strain tensor at (2,1,–1) will be: 0.8 1.25 0.30 1)|-1.25 -4

The velocity field for a fluid flow is given by following expression: i =(0.2x² +2y+2.5)î +(0.5x+2y² – 6) ĵ +(0.15x² + 3y² + z z)k %3D The strain tensor at (2,1,–1) will be: 0.8 1.25 0.30 1)|-1.25 -4

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.3P: Evaluate the Nusselt number for flow over a sphere for the following conditions: D=0.15m,k=0.2W/mK,...

See similar textbooks

Related questions

Q: A velocity field is given by u = 5y2, v = 3x, w = 0. (a) Is this flow steady or unsteady? Is it…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: A velocity field is given by: u=3x, v=0 and w=-3z a. Is the flow rotational or irrotational? Show…

A: given; u=3xv=0w=-3z

Q: The flow of a particular fluid is described by a velocity field given as u = x²y v = x³ = xy² w = 0…

Q: Consider the flow with velocity field given as (F·x)x 1 F- 8TTur u ( with Ha given constant, F a…

A: Given : To find : Do fluid particles rotate

Q: Velocity field of an incompressible flow is given by V = 6xi − 6yj (m/s) a) Find the pathlines in…

A: Introduction:

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

Q: Problem N-S 2 A velocity field is described by the following equations: 10y -10x u = and w=0 x2+y2 '…

A: Velocity field described by; u = 10y / (x2 + y2) ; v = -10x / (x2+y2) ; w = 0; ∂u/∂y = 1/∂y [10y…

Q: s?(YES OR NO) b) Can the potential function be defined?(YES OR NO) c) Find the unit width flow…

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

A: The velocity field is V = (2.5 – 1.6x)i + (0.7 + 0.8y)j The component of velocity is u = (2.5 –…

Q: A steady, incompressible, two-dimensional velocity field is given by V = (u, v) = (0.5 +0.8x) 7+…

Q: A fluid has a velocity field defined by u = x + 2y and v = 4 - y. In the domain where x and y vary…

A: Since you have posted a multiple independent question, we will solve first question for you. To get…

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

Q: 15. Consider the steady, two-dimensional, incompressible velocity field given by V= (u, v) =…

Q: Find the kinematic viscosity of an oil having density of 978 Kg/m³. The shear stress at a point in…

Q: The velocity field for a fluid flow is given by following expression: =(0.2x² + 2y+2.5)i +(0.5x+2y…

A: Solution…

Q: 1. Consider the steady, two-dimensional, frictionless velocity V= (u,v) = (ax +b)i+(-ay+cx)j . 1) Is…

Q: The velocity components in x and y direction are given by u = Axy3 - x²y; v = xy² – 3/4 ху y4. The…

A: Given:u=λxy3-x2yv=xy2-34y4

Q: If a flow field is characterized by V⃗ = y 2 zx î+ x 2yzt ĵ+ z 2 k̂. a) Is the flow steady? b)…

A: (a) The equation for the flow field is given below, v=y2zxi+x2yztj+z2k The flow field is dependent…

Q: The flow of a particular fluid is described by a velocity field given as u = x²y v = x³ = xy² w = 0…

Q: A velocity field V = (x - 2y)ỉ - (2x + y)¡ given in the form. a)specify how many directions is the…

Q: 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…

A: The data given is, Velocity field, V=xi+x(x-1)(y+1) j To determine: Plot streamlines for -1 ≤ x≤ 3…

Q: For the velocity field that is linear in both spatial directions (x and y) is V-›= (u, ? )…

A: Given Data: The velocity field in the x-y plane is given as V⇀=U+a1x+b1yi⇀+V+a2x+b2yj⇀ U,…

Q: The velocity potential for a two-dimensional velocity field is given by the relation fi=(7/3)x3-7xy2…

Q: In a stream of glycerine in motion, at a certain point the velocity gradient is 0.25 meter per sec…

Q: A 2D velocity field is given by V = (u, v) = (2.7 - 1.9x, 0.7 + 1.6y), where the coordinates are in…

Q: The velocity field of a flow is given by V= axyi + by^2j where a = 1 m^-1s^-1 and b = - 0.5…

A: For the given velocity flow field V = axy i + by2 j where a = 1 m-1s-1 b = - 0.5 m-1s-1 To…

Q: A two - dimensional velocity field is given as V = -2yi – 2xj Find the current function 4(x,y) of…

A: Given V = - 2y i - 2x j To determine the current function ψ(x,y) of the velocity field and the…

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: Calculate velocity gradients and shear stress for y = 0.0, 0.2, 0.4, and 0.6 m, if the velocity…

Q: Consider the flow field: ū(ï, t) = (x1x2)?1 + x3e -at "â2+ cos(2x1x3)âz 1] Calculate the fluid…

A: For a flow field given by V →= u1 x1 +u2 x2+u3 x3 The Eulerian acceleration is given by ax1 =…

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: HW2_Q3. Streamline. For the velocity field: Ay ? where A = 4 m^2 / s and the coordinates are…

Q: Consider the steady, two-dimensional velocity field given by V=(1.3+2.8x)/+(1.5-2.8y)/ Determine;…

A: Determine: (i) the fluid speed at origin; (ii) the location of stagnation point in the flow; and…

Q: 1. Find the stream function for a parallel flow of uniform velocity V0 making an angle α with…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

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: Q1 For a certain incompresible flow field, it is suggested that the velocity components are given by…

Q: 1. Stagnation Points A steady incompressible three dimensional velocity field is given by: V = (2 –…

A: given data stagnation point it is the point at which the velocity of flow remains zero or cionstant…

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: 5. A fluid flow is given by the velocity field: V = (-2xe)i + 2(e +x³e2*)j a) Is this flow field…

A: Note: According to Bartleby's guidelines first three sub-parts are solved. please upload the other…

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: Euler's Equation 6.1 An incompressible frictionless flow field is given by V = (Ax + By)i + (Bx-Ay)j…

A: Given:V→=(Ax+By)i^+(Bx-Ay)j^A= 2 s-1B= 2 s-1

Q: A 2D velocity field is given by V = (u, v) = (2.5 - 1.9x, 0.65 + 0.9y), where the coordinates are in…

Q: Consider the velocity field represented by V = K(vĩ + xk) Rotation about z-axis is

Q: HW5_Question 3. Consider the following velocity field v = U, (x² – y² + x) ex · U, (2.xy + y) ey -…

A: Given data, The velocity field is, V = Uox2-y2+xi^-Uo2xy+yj^ Value of x = 5 m Value of y = 0 to 5 m…

Q: The velocity field of an incompressible flow in a Cartesian system is represer V = 2(x? – y² )i +…

A: Given:V→=2(x2-y2)i+vj+3k

Q: Question 4: A velocity field is given as below: =-3xî +3zk a) Determine if the flow filed is…

A: Given: The velocity field, v = (-3x)i+(3z)k

Q: Let the flow of a fluid of density ρ = 1000 kg m^-3 defined by the velocity field v = xy i + yz j +…

A: Irrotational Flow Note : What Is Asked Is Not Clear.

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

The velocity field for a fluid flow is given by following expression:
=(0.2x² + 2y+2.5)î +(0.5x+2y² – 6) ĵ+(0.15x² + 3y° + z)k
The strain tensor at (2,1,–1) will be:
0.8
1.25 0.30
a) | -1.25
-4
0.30
-1
(0.8 1.25 0.70
b) | 1.25
2
0.30
-2
1
0.8 1.25 0.30)
c) | 1.25
4
-2
0.30
-2
1
0.8 1.25 0.30
d) | 1.25
8.
-2
0.8
2
1

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

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

For the velocity field that is linear in both spatial directions (x and y) is V-›= (u, ? ) = (U + a1x + b1y) i-›+ (V + a2x + b2y) j-›where U and V and the coefficients are constants, calculate the linear strain rates in the x- and y-directions
1. The components of velocity in a flow field are given byu=x2+y2+z2v=xy+yz+z2w=-3xz- 0.5z2+4a) Determine the volumetric dilatation rate and interpret the result.b) Determine an expression for the rotation vector. Is this an irrotational flow field?
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
The velocity field for an incompressible flow is given by V = 5x ^ 2i- 20 xyj + 100tk. Explain whether this flow is steady or not. Is the flow two or three dimensional? Determine the magnitude and direction of the velocity and acceleration of a flow particle at t = 0.2 and position (1, 2, 3).
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.
If a flow field is characterized by V⃗ = y2zx î+ x2yzt ĵ+ z2 k̂. a) Is the flow steady? b) Local acceleration c) Convective acceleration d) Is the field irrotational? e) Is the flow incompressible?f) All possible strains rates. Are shear forces present in this force field?
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).
Consider a velocity field where the x and y components of velocity aregiven by u = cy/(x2 + y2) and v = −cx/(x2 + y2), where c is a constant.Obtain the equations of the streamlines.
Consider the velocity field given by u = y/(x2 + y2) and v = −x/(x2 + y2). Calculate the vorticity.
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?
In a stream of glycerine in motion, at a certain point the velocity gradient is 0.25 meter per sec per meter. The mass density of fluid is 1268.4 kg per cubic meter and kinematic viscosity is 6.30 x 10^-4 square meter per second. Calculate the shear stress in Pascal at the point.
Find the stagnation point in the following two-dimensional velocity field: V=(3+x-y)i + (5+x+y)j