2. A two-dimensional flow field for a inviscid, incompressible fluid is described by the velocity componentsu = Uo + 2yyv= 0where U, is a constant. If the pressure at the origin shown on the figure is po,В(О, 1)determine an expression for the pressure at (a) point 4, and (b) point B. Explainclearly howfield? How about equipotential lines? Why/why not. Assume that the units areconsistent and body forces may be neglected.you obtainedyour answer. Can you sketch streamlines for this flowA(1, 0)Ро

Given Data: The component of velocity in the x-direction is, u=U0+2y. The component of velocity in…

2. A two-dimensional flow field for a inviscid, incompressible fluid is described by the velocity components u = Uo + 2y v = 0 where U, is a constant. If the pressure at the origin shown on the figure is determine an expression for the pressure at (a) point A, and (b) point B. Explain clearly how you obtained your answer. Can you sketch streamlines for this flow field? How about equipotential lines? Why/why not. Assume that the units are consistent and body forces may be neglected. Ро, • B(O, 1) A(1, 0) Ро

2. A two-dimensional flow field for a inviscid, incompressible fluid is described by the velocity components u = Uo + 2y v = 0 where U, is a constant. If the pressure at the origin shown on the figure is determine an expression for the pressure at (a) point A, and (b) point B. Explain clearly how you obtained your answer. Can you sketch streamlines for this flow field? How about equipotential lines? Why/why not. Assume that the units are consistent and body forces may be neglected. Ро, • B(O, 1) A(1, 0) Ро

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: 6.26 The velocity components in an ideal, two-dimensional velocity field are given by the equations…

Q: A fluid flow is represented by the velocity = 2x+4y. The equation of stream line passing through a…

A: To find: The equation of stream line passing through the point 2,4. Given: The fluid flow…

Q: Consider a three-dimensional, steady velocity field given by V = (u, v, w) = (3.2 + 1.4x)ï + (2.4 –…

A: Write the expression of velocity field. V=3.2+1.4xi+2.4-2.1yj+wk Write the components of…

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

Q: unsteady velocity field V = xy'ti + zxj – t°k exists at the 3D plane along a streamline that passes…

Q: Given the following steady, two-dimensional velocity field. [Diberi medan halaju yang mantap dan dua…

A: A flow is said to be incompressible if its density remains constant through out. An incompressible…

Q: Consider a two-dimensional flow which varies in time and is defined by the velocity field, u = 1 and…

A: Two-dimensional flowVelocity fields,u = 1 andv = 2yt

Q: In a certain two‐dimensional flow field, the velocity is constant with components u = –4 ft/s and v…

A: to find:the velocity potential function for the flow fieldthe stream function for the flow…

Q: A 2D incompressible velocity field is defined by . If both u and v are 0 at point (x = 0, y = 0),…

A: Given Data: The flow is 2D and incompressible. The flow is defined as u=2(x2-y2). The pressure and…

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

Q: Question 3: Air through a Jet Engine: A streamline that goes through a jet engine is shown in the…

Q: Q3/ Prove that in a two dimensional fluid flow, the stream function: -xy is harmonic. = zk+zx

A: Given dataStream function φ=-xyx2+y2To prove the given stream function is harmonic in two…

Q: please explain everything you did

A: The objective of the question is to determine the circulation around the path ABCD in a…

Q: Consider a steady, two-dimensional, incompressible velocity field with u = aX +b and V--ay + Cx,…

A: Given data:

Q: An equation for the velocity for a 2D planar converging nozzle is w = 0 Where U is the speed of the…

A: Given: Velocity in x direction is, u=U1+xL Velocity in y-direction is, v=-UyL

Q: lot the velocity field, potential field, and streamlines. Please explain it in detail.

Q: A steady, three-dimensional velocity field is given by V = (0.657 +1.73x +0.948y+as) + (2.61 +cr…

Q: le fluid flow. ntial

A: The velocity potential is-

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 stream function of a flow field is ų = Ax3 – Bxy², where A = 1 m-1s1 and B = 3 m1s1. (a) Derive…

A: The velocity along the x axis can be determined as shown below.

Q: Describe the Bernoulli's equation and its applications in fluid mechanics.

Q: A 2-D flow field has velocity components along X-axis and y-axis given by u = x't and v = -2 xyt…

Q: Check if o = x - y + y represents the velocity potential for 2-dimensional irrotational flow. If it…

A: Checking if flow is irrotational.

Q: An unsteady velocity field V = xy'ti + zxj – t°k exists at the 3D plane along a streamline that…

Q: Consider the steady, two-dimensional velocity field given by O = x2 – y? (i) (ii) Determine the…

Q: In a steady, two-dimensional flow field in the xyplane, the x-component of velocity is…

A: Given data: The x- component of the velocity is, u = ax + by + cx2. As the flow is flow field is…

Q: A potential steady and incompressible air flow on x-y plane has velocity in y-direction v= - 6 xy .…

A: From given information:

Q: A velocity vector in a flow field is given by, 3x V = -i+2j + 3yk where V is in m/s and the…

A: The Velocity Vector is given by - V=3x22i+ 2j + 3yk a) As the velocity vector has three components…

Q: The velocity field of a flow is given by V = axyi + byj where a = 1 m's and b = - 0.5 m's". The…

A: Write the given data with suitable variables. V→=axy i^+by2 j^a=1 m-1s-1b=-0.5 m-1s-1

Q: Ay j. Is this a possible case of incompres- 23 A velocity field is given by V = Axyi %3D sible flow?…

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: Q1:- (a) Show that stream function exists as a consequence of equation of continuity. (b) Show that…

A: (a) Consider the stream function ψx,y,t. For two dimensional flow the velocity in the terms of…

Q: (a) Determine the fluid acceleration at x-4, y-5. (b) Determine the rate of volumetric dilatation in…

Q: 4. Show that the velocity field V = 2y(2x + 1)î + [x(x+1) – 2y²1j represents a possible…

Q: onal flow field is give

A: given: φ=x2-y2

Q: The stream function for a given two-dimensional flow field is = 5x²y - 5y³. Determine the velocity…

A: First check whether flow is irrotational or not.because velocity potential function is only defined…

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

Q: Two velocity components of a steady, incompressible flow field are given as follows; u = 2ax + bxy +…

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

2. A two-dimensional flow field for a inviscid, incompressible fluid is described by the velocity components
u = Uo + 2y
y
v= 0
where U, is a constant. If the pressure at the origin shown on the figure is po,
В(О, 1)
determine an expression for the pressure at (a) point 4, and (b) point B. Explain
clearly how
field? How about equipotential lines? Why/why not. Assume that the units are
consistent and body forces may be neglected.
you obtained
your answer. Can you sketch streamlines for this flow
A(1, 0)
Ро

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

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 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
g Figure 3: Fluid flows between two infinite plates A viscous, incompressible steady fluid flows between two infinite, vertical, parallel plates distance h apart, as shown in Figure 3. Use the given coordinates system and assume that the flow is laminar, fully developed (30), and planar (w = 0,0). Assume that pressure and gravity are not negligible. (a) Simplify the contnuity equation and show that v = 0. (b) Using the y-momentum equation show that pressure is a function of a only. (c) Find the velocity distribution u(y) in terms of u, g, h, p and d (d) Find the wall shear stress of the flow.
please answer quickly
Please solve step by step
The velocity components in the x and y directions are given by 3 u = Axy3 - x2y, v = xy2 -- The value of a for a possible flow field involving an incompressible fluid is
Homework What is the third velocity component such that continuity equation is satisfied if two components are u = 1. 2y2, w = 2хyz ? 2. Consider the following steady, two-dimensional, incompressible velocity field V = (Ax? + B)i + (-Ay + Cx²)j where A, B, and C are constants. Calculate the pressure as a function of x and y.