Q14: The position of a particular in a flow field is given by X,equation of the path line for a particle located at (1,2) at t = 0.= Czeat,yp = C2 e-bt, Find the

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

Answered: Q14: The position of a particular in a…

Q14: The position of a particular in a flow field is given by X, = C,eat ,y, = C2 e-bt, Find the equation of the path line for a particle located at (1,2) at t = 0. %3D

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=3x, v=0 and w=-3z a. Is the flow rotational or irrotational? Show…

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

Q: A) Figure (2) shows the velocity distribution for flow of water between two parallel plates.…

Q: 5. Consider the flow past a 30° expansion corner, as sketched in the figure below. The upstream…

A: Given data:

Q: (a)Describe the role and physical meaning of each term in the compressible continuity, momentum and…

A: Compressible continuity equation is give by : ∫CV∂ρ∂tdV +∮CS ρ q→ dA→ = 0 Where CV indicates the…

Q: Investigate the complex potential f(z) = A cosh [π(z/a)],and plot the streamlines inside the region…

A: Writing the complex potential function: Where A is a constant. Splitting the potential function…

Q: iii) For a fluid has velocity field given by: Where ,v, and o are consants Calculate: 1) The…

A: Consider the given expression of velocity field. V→=uosinωt-ωyvo i^+vo j^ The components of…

Q: Q.14 The Position of a padticular a o flow field ig ginen by in Xp = Geat equation of the Path line…

A: Write the given value using suitable variables. Here xp and yp signify a particular position. Write…

Q: The Position of a Particular flow field is cie92, Yp azébt 9iven by in a Xp= Find P = ८८.eb+ the…

A: Write the equation for the pathline in the x-direction using the given data. xP=c1eat Here, c1 and a…

Q: 6.4 The three components of velocity in a flow field are given by u- + y + v - xy + yz + w- -3xz -…

Q: 3) A source and a sink of strength 4 and 8 m/s² are located at (-1, 0) and (1, 0) respectively.…

Q: The density of the fluid is (1.05x10^3) kg/m3 and the dynamic viscosity is 1.12 x 10 - 3 Ns/m2. The…

Q: o can! Problem 4. The velocity field near the core of a tornado can be approximated as V =-ệ, + (a)…

A: Write the components of velocity in the radial and tangential directions. The only nonzero…

Q: A wave in deep water has the following characteristics: HO=3.z m, T=7.y sec (Bathymetries are…

A: GivenT=7sH=3mZ=-2mTo find:-Orbital horizontal and vertical velocities

Q: Do gases usually have a constant specific weight? What increases in altitude is necessary in the…

Q: Q12: For the following two dimensional steady state flow fields, determine the equations of the…

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

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

Q: 3. Problem: What head H must be created at the beginning of the oil line in order to ensure the…

Q: A shaft of diameter 74.90mm rotates in a bearing of diameter 75.03mm and of 75mm length. The annular…

Q: The dynamic equilibrium in circular pipe flow: Velocity profile in laminas flow CExplain in detail…

A: Dynamic equilibrium in circular pipe: In circular viscous pipe flow there are gravity force,…

Q: In a fluld the velocity measured at a distance of 75mm from the boundary is 1.125m/s. The fluid has…

Q: GIVEN: V =(-yê -2xyÎ %3D REOO: EQVAIONS FOR THE STREAMLINES

Q: The dynamic equilibrium in circular pipe flow: Velocity profile in laminar flow CExplain in detail,…

A: Explaining velocity distribution in laminar flow in a circular pipe.

Q: What is the equation for the streamlines of the flow?

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: 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: (a)Describe the role and physical meaning of each term ln the compressib continuity, momentum and…

Q: Question no-16 A velocity field is given by V. axí + byja baytk, where a= 25' , b 1m's'. Is it…

A: V=axi^+byj^+bxytk^a=2 , b= 1

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

Q: Consider the flow field formed by combining a uniform flow in the positive x direction and a source…

Q: SAE30 oil flows through a 1.5 cm diameter at 5m/s. Determine the length of entrance region, le?

A: given data diameter = 1.5 cm velocity = 5 m/s find the length of entrance region.

Q: The motion of a liquid in an open tank is that of a combined vortex consisting of a forced vortex…

Q: D. A Terran T-280 SCV (space construction vehicle) examines a typical vespene geyser field, which…

A: Given, Number of circular openings, n=20Main pipe radius, R1 =0.80mSpeed through the main pipe,…

Q: Problem 6: The stream function for an incompressible, two- dimensional flow field is Y = 3 x²y + y…

A: The given stream function is, ψ=3x2y+y The velocity component is given as. ∂ψ∂y=u & ∂ψ∂y=-v…

Q: A windmill is operating in a 10m/s wind that has a density of 1.2kg/m3. The diameter of the windmill…

A: Write the given values along with the suitable variables.

Q: Example :- Calculate the power in W/m required for mixing an oil of relative density 0.93 and…

A: Given dataRelative density ρr = 0.93Viscosity μ = 18Ns/m2Diameter of the tank D = 15cmHeight of the…

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: 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: 6.41 (WILEYa The velocity potential for a certain inviscid, incom- pressible flow field is given by…

Q: Answer the following: What are the characteristics of laminar and turbulent flow? Cite examples of…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other questions as…

Q: a.Obtain Bernoulli’s equation for compressible flow considering adiabatic process. b.Define vortex…

A: 1 2 3 4

Q: Consider a fluid flow between two parallel fixed plates 5 cm apart. The veloci distribution of the…

Q: A flow field can be described with potential and stream function. If the potential function given as…

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: 10- For a free vortex determine an expression for the pressure gradient (a) along a streamline, and…

A: The expression for the velocity potential function is given as, vθ=1rdφdrvθ=1rdΓθ2πdrvθ=0 Here, φ is…

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

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

Q14: The position of a particular in a flow field is given by X,
equation of the path line for a particle located at (1,2) at t = 0.
= Czeat,yp = C2 e-bt, Find the

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 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

Explain the difference between the Energy law of Thermodynamics and Bernouli's Law in phase 1 and 2 flow. and also explain the flow that uses the above formula. draw the flow and formula, give an explanation of the formula. and provide references related to sources or books used for phase flow.
A small swimming pool is drained using a garden hose. The hose has 20 mm inside diameter, a roughnessheight of 0.3 mm and is 20 m long. The free end of the hose is located 3 m below the elevation of the bottomof the pool. The average velocity at the hose discharge is 1.2 m/s.(a) Estimate the depth of the water in the swimming pool.(b) If the flow were inviscid (that is, zero viscosity), what would be the velocity?
The viscosity of clover honey is listed as a function of temperature. The specific gravity of the honey is about 1.42 and is not a strong function of temperature. The honey is squeezed through a small hole of diameter D = 6.0 mm in the lid of an inverted honey jar. The room and the honey are at T = 20°C. Estimate the maximum speed of the honey through the hole such that the flow can be approximated as creeping flow. (Assume that Re must be less than 0.1 for the creeping flow approximation to be appropriate.) Repeat your calculation if the temperature is 50°C. Discuss.
A windmill is operating in a 10m/s wind that has a density of 1.2kg/m3. The diameter of the windmill is 4m. The constant-pressure (atmospheric) streamline has a diameter of 3m upstream of the windmill and 4.5m downstream. Assume that the velocity distributions are uniform and the air is incompressible. Determine the thrust on the windmill.
for the following flows, find the equation of the streamline through(1,1). v= -y^(2)i-6xj
The stream function in a two dimensional flow field is given by sie= x2 - y2 .find the magnitude of the velocity at point (1. 1) .
An algae with solid and water densities of 2600 and 1000 kg m-3, respectively, is pumped into a batch vessel 5 m high and left for 30 minutes prior to discharge. The viscosity of the water is 0.001 kg m-1 s-1. Calculate the maximum particle diameter that will be still in the discharge. Assume spherical particles and no mutual interactions between single particles or wall effects. Stokes law applies. .
A velocity profile for water is given as a function of x, y and z. How can we determine if the profile is a physically possible flow field? A) If the sum of the derivatives of each component with respect to their flow direction = 0. B) If the flow is irrotational. C) If the vorticity equals 0. D) If we can determine a velocity potential.
A two-dimensional reducing bend has a linear velocity profile at section 1. The flow is uniform at sections 2 and 3. The fluid is incompressible, and the flow is steady. Find the maximum velocity at section 1, V1,max.
Answer all subparts:Water at 25 °C flows through an inclined plane.a. Assuming steady laminar flow, verify the direction of the flow.b. Determine the velocity of the waterc. What is the Reynold's number
A sink of strength 20 m2/s is situated 3 m upstream of a source of 40 m²/s in a uniform stream. It is found that, at a point 2.5 m from both source and sink, the local velocity is normal to the line joining the source and sink. Find the velocity at this point and the velocity of the uniform stream. Locate any stagnation points and sketch the flow field.
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. :)