The velocity potential for a certain inviscid, incompressible flow field is given by the equationФ = sin x eᎩwhere has the units m²/s when x and y are in meters. Determine the pressure at x = 1, y = 1if the pressure at x = 0, y = 0 is 100 kPa. The fluid is air.

To Find:The pressure at x=1, y=1 If the pressure at x=0, y=0 is 100 kPa.Given:The equation is

The velocity potential for a certain inviscid, incompressible flow field is given by the equation Φ sin x ex = where has the units m²/s when x and y are in meters. Determine the pressure at x = 1, y = 1 if the pressure at x = 0, y = 0 is 100 kPa. The fluid is air.

The velocity potential for a certain inviscid, incompressible flow field is given by the equation Φ sin x ex = where has the units m²/s when x and y are in meters. Determine the pressure at x = 1, y = 1 if the pressure at x = 0, y = 0 is 100 kPa. The fluid is air.

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: 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: Two concentric cylinders of radii a and b respectively (a > b) have their common axis lying along…

A: In steady laminar flow, the fluid is expected to travel in a circular motion two concentric…

Q: There is an incompressible Newtoniel fluid between the parallel plates whose bottom plate is fixed…

A: Consider a plate as shown in the figure which is flowing over the fluid. The bottom fluid is fixed.…

Q: Incompressible air (density=1.2 kg/m3) flows around the car, if the pressure coefficient at point A…

A: Given data:

Q: The velocity potential for a certain inviscid, incompressible flow field is given by the equation 9…

Q: A two-dimensional flow field has velocities along x2t and the x and y directions given by u = V =…

A: Given data: u=x2tv=-2xyt Need to determine the streamline equation.

Q: At t = 0, an unstable velocity field V = xy²ti + zxj – t³k, emerges in the 3D plane as a result of a…

A: Given : V=xy2ti+zxj-t3k To find : Equation of streamline

Q: Q No. 1: The streamlines associated with a certain fluid flow are represented by a family of curves…

A: given:Stream lines associated with a certain fluid flow are represented by a family of…

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

Q: velocity field V = xy^2ti + zxj −t^3k exists at the 3D plane along a streamline that passes through…

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

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

Q: for accelaration flow the velocity for fluid is given : a=(3x^2+2yx)i+(2xy+2y)j determine…

A: The resultant of a vector field is the square root of the summation of squares of x and y…

Q: Q6. Tangential laminar flow of a Newtonian fluid with constant density and viscosity is occurring…

Q: 3. Consider a viscous flow between two flat plates separated by a distance H. The bottom located at…

A: The flow velocity is variable between the plate. The cause behind the variable velocity is due to…

Q: The fluid particles do not rotate about their own axis in a rotational fluid flow. Select one: True…

A: We have to explain rotational flow

Q: A viscous and incompressible fluid with a density of p is flowing steadily between two parallel…

A: Since the flow is steady and incompressible, the mass flow rate must be conserved between sections 1…

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: 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: The velocity field is given as u=y-1 and v=y-2. The units of u and v are m/s and the units of x and…

A: a).

Q: Q2/ Suppose you have crude oil flows through an annulus between two horizontal pipes with the same…

A: Given data: The velocity distribution vx = ∆P4µL R22 - r2 + R12ln (R2/R1) lnrR2The average velocity…

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

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: Question 1 Determine the pathline and the streamline which pass through the origin at t = 0 for the…

A: sdfsaf

Q: The stream function in a two dimensional flow field is given by sie= x2 - y2 .find the magnitude…

A: Given data: ψ=x2-y2 Need to determine the magnitude of the velocity at point (1,1) .

Q: A2 A Newtonian fluid with viscosity (Mu) flows upward at a steady rate between two parallel…

Q: Find the stagnation point in the following two-dimensional velocity field: V=(3+x-y)i + (5+x+y)j

Q: The velocity components of a flow field are given in polar coordinates: q, = r² cos 0 and qe = -3r²…

A: given we have qr=r2cosθqθ=-3r2sin θu=-dqrdrv=-dqθrdqv=3rcosθ

Q: A two-dimensional flow (x-y plane) is given by u =x +yt and v = - y+xt where u and y are the…

A: To Find : a) This flow incompressible.b) The time rate of change of u an v for the fluid…

Q: A horizontal flow field has the following velocity components: u = (y2 – x2) m/s = (2xy) m/s a) The…

A: Velocity equations: u= (y2 - x2) m/s v= (2xy) m/s Pressure at point A (3m, 2m), P1= 600 kPa Pressure…

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

Q: Incompressible air (density=1.2 kg/m3) flows around the car, if the pressure coefficient at point A…

A: Given data:

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 potential for a certain inviscid, incompressible flow field is given by the equation
Ф = sin x eᎩ
where has the units m²/s when x and y are in meters. Determine the pressure at x = 1, y = 1
if the pressure at x = 0, y = 0 is 100 kPa. The fluid is air.

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: Determine the pressure.

VIEW

Step 2: Find the pressure.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 12 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

The velocity of a fluid for (x, y, z) is given by v = (ax + by, cx + dy, 0) Verify that, in this case v = V(ax² + 2bxy — ay²). 2
dont know where to start.. i am given the equation
If the velocity field, V=3y2 i. Which of the following is NOT TRUE? Select one: The flow is steady The flow is irrotational The flow is horizontal d. The flow is incompressible
If you have several substances that look similar, which characteristic would enable you to precisely distinguish what they are made of? a.Mass b.Limit of Elasticity c.Gravitational Force d.Specific Heat Capacity
4. Consider a viscous flow inside an annular pipe. The inner surface of the pipe is located at r = R₁ and is stationary. The outer surface is located at r = Ro and moves to the right with speed Upipe. The pressure inside the pipe is constant. The fluid inside the pipe has dynamic viscosity μ. Assume that the flow is steady, incompressible, fully-developed, axisymmetric, non-rotating, and has negligible body forces. Starting from the differential form of the conservation of mass and momentum equations: a. Derive an equation for the velocity inside the pipe in terms of Upipe, R₁, Ro, and r. b. Determine the average velocity inside the pipe in terms of Upipe, R₁, and Ro. C. Determine the shear stress acting on the inner annulus in terms of Upipe, Ri, Ro, and u. Upipe er R₁ fluid
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). ...
If the velocity of an incompressible fluid at a point (x,y,z) is given by (image below) prove that the motion is possible and that the velocity potential is −cosθ/r2. Find the equations of the streamlines where r^2 = x^2 +y^2 +z^2 and θ is the angle between r and the z-axis. Kindly, explain all the steps. :)
5.6 The x component of velocity for a flow field is given as u = Ax²y² where A = 0.3 m3 s and x and y are in meters. Determine the y component of velocity for a steady incompressible flow. Determine the equation of the streamline and plot the streamline that goes thrquek. the noint (x.y)=(1,4).
Problem 3: Obtaining the stream function from velocity components The steady state, incompressible flow field for two-dimensional flow is given by the following velocity components: V =16y-x and v, =16x + y %3D Determine the equation for the stream function and make sure continuity is satisfied.