Answered: Find the location of the stagnation…

Engineering

Mechanical Engineering

Find the location of the stagnation point for the flow due to a vortex +I at (2a, 0) and a vortex -25 at (-2a, 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: Q/A uniform flow with a velocity of 4 m/s is flowing over a source placed at the origin. The…

A: Given: Uniform velocity (U)=4m/sStagnation points= (-0.35,0)

Q: for the following flows, find the equation of the streamline through(1,1). v= -y^(2)i-6xj

A: Given:Velocity vector, V=-y2 i-6 x jPositio of point, x, y=1, 1Find:The equation of streamline

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

Q: 3.7. In Fig. 3.4b is shown the unsteady-state streamlines of a cylinder moving with a uniform…

A: Dear Student,In this question, the figure (diagram) is missing. Please reupload the question with…

Q: A flow field consists of two free vortices which are rotating in clockwise direction with the…

Q: Q1. Apply Bernoulli Equation to figures (1) and (2) . Figure (1) pump station Figure (2) free jet

Q: The velocity components for idealised flow along a right angled wall is given by u = 4 x m/s, v = -4…

A: Vorticity is defined as curl of velocity vector, the curl(vorticity) magnitude is zero.

Q: 3- Determine stream function and velocity potential for combination of a horizontal uniform flow…

Q: A flow field u = 2x, v = 3y. Find the magnitude of acceleration at the point (1, 2).

A: Given:u=2xv=3yP(1,2)

Q: e vorticity

A: ZERO VORTICITY

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

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

Q: Fluid lies between two concentric cylinders. The inner solid cylinder, of radius aa, rotates with…

A: Given: Fluid is flowing in concentric cylinder. Assume the flow is laminar.

Q: A jet of water of 50 mm diameter strikes a square plate at its centre. The plate weighing 80 N is…

A: F=80N d=50mm

Q: Velocity field for uniform flow at an angle a with the X-axis can be written as V = (U cos a) i + (U…

A: given; V=(Ucosα)i+(Usinα)j

Q: 3. A simple flow model for a two-dimensional converging nozzle is the distribution v = -U, L w = 0 u…

Q: le fluid flow. ntial

A: The velocity potential is-

Q: The velocity in a certain flow field is given by the equation below, V = (x² - y²)ī — 2xyj Show that…

Q: Q.3Given the x and y velocity components below (A is a constant): u = Axt v = -Ayt (a) Find the…

A: We have to determine (a) Find the equation of the streamlines, also give the stream function. (b)…

Q: 5- Proof that free vortex is irrotational flow while forced vortex is rotational flow. Please note…

Q: 6.6 Determine an expression for the vorticity of the flow field described by V = = -xy³i + y*fj Is…

Q: The entrance flow between two parallel plates (gap h) has a velocity that varies linearly at the…

A: The mass flow rate () remains constant throughout the flow, given by:where is the cross-sectional…

Q: Two radii rl and r2 (r2 > rl) in the same horizontal plane have the same values in a free vortex and…

A: given data; ⇒for same horizontal plane datum (Z1)=Z2⇒tangential velocity same =v⇒pressure difference…

Q: Determine whether of the following flows are irrotational, and find the velocity potential function,…

Q: Given: U=Uoer/lsin(r/l) Find the above equation's dimensionless form

A: The dimensionless equation is nothing but the inclusion of all physical entities and does not…

Q: The cross-sectional area is 25 square centimeter of water jet under the velocity of 35 meter per…

Q: 6.30 A certain flow field is described by the stream func- vion y = A 0 + Br sin 0 where A and B are…

A: It is given that and it is a certain flow field which is described by stream function

Q: Write the Boundary Conditions for two-dimensional incompressible flow between parallel plates shown…

A: Couette flow is the flow between two parallel plates. hence, one plate is at rest and the other is…

Q: Plot the streamlines and potential lines of the flow due to aline source of strength 3m at (a, 0)…

A: Near view is shown in the figure, 3m source flow comes out at A (a,0) and m sink flow at B (-a,0).…

Q: When a fluid originally at rest is accelerated on a streamline under steady flow conditions, Select…

Q: Question 4. The stream function is given as w=x³-y³. a. Is this flow possible? b. Is the flow…

Q: Find the location of the stagnation point and the equation of the dividing streamline. What are the…

Q: The block is subjected to laminar flow as shown in Figure 2. Air flow through the block and found…

A: The drag force on an object can be determined as, From the above equation it can be seen that the…

Q: 3. Find v, assuming incompressible flow and The tank is very large. 1/₂-0

Q: Consider three equally spaced sources of strength mplaced at (x, y) = (+a, 0), (0, 0), and (-a, 0).…

A: The pattern resulting stream lines as shown below. There are two stagnation points at x = ±a3 =…

Q: If u = ax and v = ay and w = -2az obtain equation of streamline passing through the point (2, 2,4)…

Q: 2- Determine stream function and velocity potential for combination of a horizontal uniform flow…

Q: When a uniform stream flows past an immersed thick cylinder, a broad low- velocity wake is created…

A: The width is .

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

Find the location of the stagnation point for the flow due to a vortex +I at (2a, 0) and a
vortex -25 at (-2a, 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

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

Q6: Find the shear flow solution of incompressible fluid with flow : v1 = 0, v2 = 0 and V3 = v3(x) , no body force. 3.5 .........
The velocity monitoring of a fluid is u = 48xy v = N. (48 + x2 + y2) Find the current function. Is there a vortex in the flow? Can the flow be compressed?
Find the two-dimensional velocity potential ϕ ( r , θ ) for thepolar coordinate fl ow pattern υ r = Q / r , υ θ = K / r , where Qand K are constants.
2. If the stream function is given by Y = 3xy, %3D then the velocity at a point (2, 3) will be
xG 2. Find the rate of deformation for a line vortex with velocity field V=YG -Î+ x² + y² x² + y² Ans. Ex = -6 yy = 2xyG (x² + y² ) ² ¹ ² = ,&_= 0,& xyG (x² + y²)² ¹6 = -,&=&₁ = 0 -), G=const.
3
i need the answer quickly
Incompressible air (density=1.2 kg/m3) flows around the car, if the pressure coefficient at point A is Cp= -6.6 and the reference dynamic pressure is 20 kpa, then what is the velocity of air at point A? Vo, Po 09
Sources of equal strength m are placed at the four symmetricpositions (x, y) = (a, a), (-a, a), (-a, -a), and (a, -a).Sketch the streamline and potential line patterns. Do anyplane “walls” appear?
If the stream function is y = 2xy, then the velocity at a point (1, 2) is equal to:
Q.2 Which of the following is true for the free vortex A V.R=constant B V/R= constant C R/V= constant D V.R=constant
6.4 The three components of velocity in a flow field are given by u = x² + v² + z² v = xy + yz + z? w = -3xz – z2/2 + 4 Determine an expression for the rotation vector. Is this an irrotational flow field?