The velocity components fora three dimensionalincornpressible flow is given by :u=x° -y-z'x, v=y' -z3w = - 3x'z - 3y'z +Check whether the flow satisfies continuity ?

Answered: Image /qna-images/answer/48f646f7-0fe4-4971-9d35-933e8a874c2a.jpg

Answered: The velocity components for a three…

The velocity components for a three dimensional incornpressible flow is given by : u=x'-y-2x, v=y'-z'. w= - 3'2-3yz+ Check whether the flow satisfies continuity ?

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: Determine the equivalent torsional spring constant of a spring that will represent the system such t...

Q: Question: Starting from rest, the cable can be wound onto the drum of the motor at a rate of VA=(3t2...

A: Given: Va=3t2 m/sLeft distance=9 m

Q: A spring was made by a steel wire of 25 mm diameter around a 175 mm diameter cylinder. determine the...

Q: What is the Vole machine language instruction that performs the following? AND the contents of reg...

A: Machine code is any low-level programming language consisting of machine language instructions th...

Q: Oil flows through a 200 mm diameter horizontal cast iron pipe (friction factor f=0.0225) oflength 50...

Q: In a cycle, a 4kg ideal gas (MW=3g/mol and k=2.3) confined in a controlled mass system went through ...

A: Lets find the characteristic gas constant R and specific heat at constant volume (Cv) and specific h...

Q: A composite beam is fabricated by bolting two 2.9-in.-wide by 13-in.-deep timber planks to the sides...

Q: Home Work Example: For the system shown in Figure calculate the height H of the oil at which the rec...

Q: 1.In a single-heater regenerative cycle the steam enters the turbine at 30 bar, 400°C and the exhaus...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: EXAMPLE 1.39. A composite bar made up of aluminium and steel held between two supports as shown in F...

A: Aluminized steel is steel that has been coated with an aluminum-silicon alloy through a process call...

Q: Steam flows into a turbine at a rate of 2 kg/s at 3MPa and 400C. It comes to an end at 300kPa. The t...

Q: Determine the force acting on members DE, DC, BC in an inverted roof truss as shown below. Use metho...

A: Given data Given truss system.

Q: At 3MPa and 400C, 2 kg/s steam flows into a turbine. It exits at 300kPa. The turbine has an efficien...

Q: How is the Eulerian description of fluid motion differ from the Lagrangian description? (select all ...

A: To study the motion of the fluid in fluid science, the various approaches used are: Eulerian approa...

Q: A 3 m³ tank initially contains a mixture of saturated steam and saturated liquid at 3400 kPa. Of the...

A: At 3400 KPa vf= specific volume of liquid= 0.001229 m3/kg vg= specific volume of vapour= 0.059654 m3...

Q: To draw the internal normal force diagram, it is important to determine the internal normal force at...

Q: ow is the energy loss captured by the apparatus? "In Bernoulli’s Theorem"

A: the bernoulli's theorem is the law of conservation of energy for fluid. It states the sum of datum h...

Q: A centrifugal pump has vanes which are radial at the outer periphery. The impeller has an outer diam...

Q: For the given position of the mechanism shown in Fig. 4, determine the magnitude an direction of the...

A: according to the given details

Q: 5. A material is subjected to principal stresses o, and o,. Determine the orientation 6 of a strain ...

Q: 7.41 • A 350 kg roller coaster car starts from rest at point A and slides down a frictionless loop-t...

A: Given data: m=350 kg Need to determine the speed of the coaster at B and How hard does it press agai...

Q: Problem 2: Consider a 1-m-high and 2-m-wide double pane window consisting of a 3-mm-thick layers of ...

Q: A solid round steel rod with Sy = 350 MPa is 945 mm long and 62 mm in diameter. With a safety factor...

A: Given Length, L = 945 mm Diameter, d = 62 mm ...

Q: Q1. Cooling water available at 10°C is used to condense steam at 30°C in the condenser of a power pl...

A: Given Data The temperature of the cooling water is: T1=10°C The temperature of the condense steam i...

Q: The thermal resistance of a medium represents the resistance of that medium against heat transfer. T...

A: Thermal resistance is defined as the ratio of the temperature difference between the two faces of a ...

Q: Water flows downward along a pipe that is inclined at 30 degrees below the horizontal, as shown. Pre...

A: First of all, I would like to tell you about pressure, pressure is defined as the normal force per u...

Q: t the top and the other at the bottom. The diameters at the top and bottom are 2m and 3m, respective...

A: mi4 USO=1×122×Hassume D=12mH=3.4724 m1- Design of Top dome W=W×R cos y×8.7 It cos 23.60-20.18 Kolnme...

Q: Answer part e to h.

A: Calculated pressure temperature and volume of at the state 2, 3 and 4. And calculate heat rejected a...

Q: An ideal gas of 4kg mass (MW=3g/mol and k=2.3) contained in a regulated mass system went through thr...

Q: Q#7: Determine the smallest radius that should be used for a highway if the normal component of the ...

A: GIVEN DATA - NORMAL ACCELERATION =0.8m/s2 VELOCITY =62km/h WE HAVE TO CALCULATE RADIUS

Q: A solar energy based HE which recieves 60KJ of heat at 90°c and rejects 50kJ of heat to the ambient ...

Q: A vapor-compression refrigeration cycle using ammonia as working fluid has a refrigerating capacity ...

Q: Imagine that you have just walked outside on a cold day with a mug of hot chocolate. Do you think yo...

A: following is the answer to the above question-

Q: A jet of water strikes a stationary curved plate at one end at an angle of 30°. The jet of 75 mm dia...

Q: Determine the difference in pressure pA-pB between centers A and B of the closed pipes, which are fi...

A: Need to . Determine the difference in pressure pA-pB between centers A and B of the closed pipes

Q: Feed water enters the boiler at a temperature of 30°C. It leaves the boiler as 85 % dry and enters t...

Q: A cylindrical bar of metal having a diameter of 20.0 mm and a length of 190 mm is deformed elastical...

Q: A 233 kg granite rock (p = 2700 kg/m³) is dropped into a lake. A man dives in and tries to lift the ...

A: Given:m=233 kgρ=2700 kg/m3ρw=1000 kg/m3

Q: Determine the mass moment of inertia of the steel machine element shown with respect to the xaxis. (...

A: Mass moment of inertia of dormancy otherwise called rotational idleness is an amount that is utilize...

Q: If a rigid body has a non-zero angular velocity, its instantaneous center of zero velocity will alwa...

Q: Flow over flat plate has velocity and temperature distribution as, u(r, x) = C, and T (r, x) = C , R...

Q: Find COP of the refrigerator.

A: Given; The heat removal rate from the refrigerated space, and power input to the compressor.Q2=9.0 K...

Q: Draw clearly the Kinematic diagram and the degree of freedom Backhoe Piston 1 Piston 2

A: Number of links= n=8 Nuber of joints= j= 10

Q: Find out the tension in both the cables given in the fi

A: Given figure:

Q: The heat removal rate from the refrigerated space and the power input to the compressor are 9.0KW an...

A: Given Data QL=9 kW W= 1.8 kW

Q: 8.48 • A 10.0 g marble slides to the left at a speed of 0.400 m/s on the frictionless, horizontal su...

A: For solution refer below images.

Q: Consider a steam power plant operating on a simple Rankine cycle. Steam enters the turbine at 15 MPa...

A: Answer: The actual Qout is 2195.26 kJ/kg.

Q: Item Unknown phase P t h SBL SPH %x %y V u k/kg K 1.726 MPa L/kg k/kg kJ/kg 1 1.4 1.7334 3 1.5 95 4 ...

A: P T h s 1 39.35 419.118 1.726 1.4 52.36 424.25 1.7334 1.5 95 471.65 1.838 1.60 58 426.07 1.7...

Q: In a cycle, a 4kg ideal gas(MW=3g/mol and k=2.3) confined in a controlled mass system went through t...

A: For solution refer below images.

Q: 6.20 Satellites A and B are in the same circular orbit of radius r. B is 180° ahead of A. Calculate ...

A: Find semi -major axis

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 components for
a three dimensional
incornpressible flow is given by :
u=x° -y-z'x, v=y' -z
3
w = - 3x'z - 3y'z +
Check whether the flow satisfies continuity ?

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 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

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
Consider a 2-dimensional incompressible flow field. The vertical component of velocity forthe flow field is given by 2y. The pressure at (x, y) = 0,0 is given by 3 bar absolute. The densityof the fluid is 1.2 Kg/m3 . Find. a) x-component of velocity; b) acceleration at point (x, y) = 2,1;c) pressure gradient at the same point; d) pressure gradient along the x-axis; e) check whetherthe flow is irrotational; f) find the potential function; g) find the stream function; h) equationfor streamline and sketch few streamlines.
in the X-Y plane; permanent, 2B, in an uncompressed flow, a, b and C are constant there is a velocity field defined as follows. a-) Continuity equation show that it is provided. b-) calculate the pressure as a function of x and y?
For the flow field described by V = 2xyi − 3y2j. (a) Is the flow field incompressible? (b) Is the flow field steady? (c) Is the flow field two- or three-dimensional? (d) Find the angle the streamline makes that passes through the point (3, −2). (e) Find the acceleration of the flow field.
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.
For the flow field described by u = 2, v = yz2t, w = −z3t/3. (a) Is this flow one-, two-, or three-dimensional? (b) Is this flow steady? (c) Is this flow incompressible? (d) Find the z-component of the acceleration vector.
An idealized incompressible flow has the proposed three dimensional velocity distribution V=4x2i+f(y)j-zy2k. Find the appropriate form of the function f(y) that satisfies the continuity relation.
Decide if each of the following can be modeled as an incompressible flow or a compressible flow:a. the take-off and landing of commercial airplanesb. the airflow around an automobile
Subject : Fluid mechanics Read the question carefully and give me ALL right solution otherwise leave it. The 2D flow of a vortex can be expressed as u=y-x and v=-x a) What is the magnitude of the local acceleration at a point (2m, 3m) b) What is the magnitude of the local acceleration at point (4m, -3m) c) What is the x-component of the convective acceleration (ax) at point (5m, -1m)
The flow of an incompressible §uid is defined by u=3, v=9x. Does a stream function exist for this flow? If so, determine the expression for the stream function,Ψ.
The stream function of an unsteady two-dimensional flow field is given by ? = (4x/y2 )t Sketch a few streamlines for the given flow on the xy-plane, and derive expressions for the velocity components u(x, y, t) and v(x, y, t). Also determine the pathlines at t = 0.
A steady, two-dimensional velocity field is given by V-›= (u, ? ) = (−0.781 − 3.25x) i-›+ (−3.54 + 3.25y) j-› Calculate the location of the stagnation point