(5) Cansder the stdy-state flow of an incompressible Newtanian fluid throughaharizartal tube of irner radius Randlength L, sshown beldow:Find the velocity distribution in the ligquid. Neglect endeffects.

Consider a small element in the pipe and force on the element in flow…

Answered: (5) Cansidar the stedđy-state flowof an…

(5) Cansidar the stedđy-state flowof an incompressible Newtonian flud througha hrizartal tube of irmerradus Randlength L, sshown below: Findthe velocity ditriation in theliguid Nedect endeffeds,

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: A jet engine on a test stand directs a stream of hot exhaust gasses against a vemcal wall. All of…

Q: 3. The two-dimensional velocity field in a fluid is given by V 2ri+ 3ytj. (i) Obtain a parametric =…

Q: art A - The three tanks shown in the figure below are connected by new cast ire he diameter and…

A: To given thatε=0.26D1=1m=1000mm D2=0.8m=800mmD3=1.2m=1200mmL1=200m…

Q: 26 (a) Explain briefly the difference between incompressible and compressible fluid flow.

A: Compressible and incompressible flow will be defined based upon density of fluid due to application…

Q: A CFD model of steady two-dimensional incompressiblefl ow has printed out the values of stream…

A: The diagram shows The diagram shows the maximum value of ψ i.e. 1.9879 at the top, hence u is…

Q: li Consider me Potential flow generated by with stiength M neal an infinite wall. Find press…

Q: The velocity magnitude of the normal flow to a streamline is, (a) zero (b) ÷Vr (c) Vr (d) more…

A: 1)Velocity 2)Pressure Force

Q: B30 Define surface tension. Give a concise explana- tion of the origin of surface tension in terms…

A: Surface tension: It is the phenomenon that occurs between contact surface of two matter, one of…

Q: 7. In a steady, incompressible, fluid flow with uniform velocity distribution the momentum flux in a…

A: Steady incompressible fluid flow,Uniform velocity distribution.To Find-The momentum flux along…

Q: 3. Consider a fluid motion at a velocity = Voi with a space-time varying density such that, n(x, t)…

Q: Steady, one-dimensional incompressible between two plates separated by a distance H is given by V =…

Q: The equation of streamline passing through (1, 1) for the velocity function V = -y?i – 6xj is

Q: (a) In a variety of environmental problems, it is common to find fluid motions that have a cellular…

Q: A velocity field of the two-dimensional, time-dependent fluid flow is given by 1 3 u(t, x, y) = r²…

A: (a) Write the expression of velocity field. u=t-3/2x1/3+y1/3i-13t-3/2x-2/3yj

Q: Water is flowing in a pipe with a varying diameter. fills the pipe. At point 1, the diameter of the…

A: Flow of ideal fluids: An ideal fluid is incompressible and lacks viscosity, and its flow is steady…

Q: If, in an incompressible plane flow, the velocity component u = const, what can we say about the…

A: Explanation: In an incompressible plane flow, ∂u∂x+ ∂V∂y=0 But, u = constant So, ∂u∂x=0 0+∂v∂y=0…

Q: Steam and water flow in a 25 mm tube at 300 C, 3500 kg/m2 s, and X = 0.4. Use the drift flux model…

A: Given: D = 25 mm T = 300 C G = 3500 kg/m2s X = 0.4 To find : α, S

Q: Q.5 b) From the consideration of velocity, how is the continuity equation based on the principle of…

Q: Determine the y component for steady state and incompressible fl

A: For solution refer below images.

Q: A solid circular cylinder of radius R rotates at angularvelocity V in a viscous incompressible fluid…

A: Understand the following assumptions taken for a purely circulating motion,

Q: An oil film drains steadily down the side of a vertical wall, as shown on figure below. After an…

Q: 5. a potential function exist? Is a flow for which u = 3 m: s', v= &x s possible in an…

Q: 94: Repeat Prob. 9–93, but let the inner cylinder be stationary and the outer cylinder rotate at…

Q: When fluid in a pipe is accelerated linearly from rest, itbegins as laminar flow and then undergoes…

Q: Suppose that it is desired to estimate volume fl ow Q in apipe by measuring the axial velocity u ( r…

A: Figure depicts the best three measuring points volume flow analysis Figure shows the three test…

Q: Consider the fluid flow between two large plates at a distance L from each other. While the top…

Q: two-dimensional incompressible flow are: The velocity components in a 8 u=8x²y-y² and v=- - 8xy + 3…

Q: f(h,p,D,V, µ, Cp, k) k = thermal conductivity (W/m°C) h = convective heat transfer coefficient…

Q: The velocity at apaint in aflwid for -- may be given in The Eukerian Coord A- Ax+ Bt , Show That x…

A: Write the given velocity profile in terms of the position.

Q: The velocity potential for non-viscous two-dimensional and uncompressed water flow in Cartesian…

A: Given, Velocity potential function φ = -3x2y + y3 Part (a): To find the current function, first…

Q: In deriving the continuity equation, we assumed, for simplicity,that the mass fl ow per unit area on…

A: Solution : Consider a cuboid of dimension dx ,dy & dz as shown in figure below :

Q: Find the stream function associated with the two-dimensional incompressible, possible flow with…

A: For cylindrical coordinates, Stream function ψ can be found using below relations: (1) ur = 1r ∂ψ∂θ…

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: OAD DO NO T UPLOA A researcher is characterizing a complex two-dimensional flow field and be…

A: u = c(x2 -y2 ) = cx2 - cy2v = -2cxy = -2cxy

Q: Find the stream function associated with the two-dimensional incompressible, possible flow with…

Q: 1. Consider a three-dimensional steady incompressible flow with components: u=-x(y+2), v= y²,…

A: u = -x(y+z)v = y2w = 12z2 -2yz

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

Q: Consider water fl owing by gravity through a short pipeconnecting two reservoirs whose surface…

A: Bernoulli's equation: The Bernoulli's equation states that total energy i.e. pressure, kinetic and…

Q: Two infinite plates a distance h apart are parallel to the xzplane with the upper plate moving at…

A: Since the shear stress between the parallel plates is constant, the centreline velocity will be…

Q: (5) Consider the steady-state flow of an incompressible Newtonian fluid through a horizontal tube of…

Q: Under what conditions do both the stream function ψ andthe velocity potential ϕ exist for a fl ow fi…

A: If the flow is possible in a flow field so there will be the existence of stream function. But for…

Q: he velocity field of a flow is defined through the vector v =-ayi+axj; where "a" is a constant. It…

A: Given:v=-ayi + axj

Q: Consider 3D flow with velocity components below. u=x²+2xy v=2x-y²+z² W=-2xz+y² a. Is this flow…

A: Given data:- 3D flow with velocity components below.U=x2+2xyV=2x-y2+z2W=-2xz+y2To check:- flow…

Q: The velocity field in S hear Floo 1s qiren as V= jye + oe,tz Simple o e If *. = ex+ 2ey+ e 20hat is…

A: Write the velocity field. V=γ˙oyex+0ey+0ez Write the position vector. xo=ex+2ey+ez

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

(5) Cansder the stdy-state flow of an incompressible Newtanian fluid througha
harizartal tube of irner radius Randlength L, sshown beldow:
Find the velocity distribution in the ligquid. Neglect endeffects.

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 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

In fluid mechanics, which of the following are true: (a) Fluid mechanics is the branch of science concerned with stationary fluids (b) Fluids like water posses only potential energy (c) The field of fluid mechanics is infinite and endless (d) It is a branch of physics which concerns the study of liquids and the ways in which they interact with forces (e) It is a sience concerned with the response of fluids to forces exerted upon them, (f) the fluid which is in state of rest is called as static fluid and its study is called as statics.
vertical axis with augular Pii In velocity (), Theopressure rise (P) in a radial direction depends upon w, r, and P. obtain a fluied.rotated a solid a bant a form uf equationfor P.
Power (@) Q2. (2 Crude ofl fs flowing through a circul ar pipe velocity of a o.sms' at a tempeiatuve of 60c and a viscosily of S-Sm. Pa-s. Deteimine the shear Stress at The Pipe sunface rf a ponabolre velocity distibuhion is assumed. Also, indicate Kinematie viscosily of The The odensily of crude oil is dss crcul as Pipe with Centrelin ondle oil at The given tempeatur and The Pipe diameter is 20 mm.
LTE I. 1 A:IY Doc Apr 10 2022 04.23.PDF 10 jo 10 Hw a solid a pe. a vertical axis with agulev Pi I a fluid rotatad velucity (), Theopressure vise (P) in a radial direction depends upon w, v, and f. obtain a form uf equationfor P. 92 the Pressare difference oP in a pipe of diameter Dand length (L) due to Viscous flow depend viscosity (h) and density (S) - obtaind évpression tOP? the Velocity U. on I The officengy of from depends Niscesity ) ,angular velocity (w). diameter of retor (D) and the dischargeO - Express the efficiency in terms of dimensionless. density ) . dywamic on Qus A fluid flow situaton depends the velocity (V), the on density several limear dimension , h,h2. pressure drep DE) » gravity (o), Viscosity As Susface tension (@). and bulk mo dulus of elasticity k. Apply dimen sional analysis. to these variables d AAAA
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
The stream function of an incompressible, steady and two-dimensional flow for a Newtonian fluid is given by: Die stroomfunksie van 'n samedrukbare, bestendige en tweedimensionele stroom vir 'n Newtonse vloeistof wod gegee deur: 2 2a?y 3 a) Please find the expression for the fluid velocity at the location (5,3). / Vind asseblief die uitdrukking vir die vloeistofsnelheid by die posisie (5,3). a,i) Input answer for x-component: / Toevoer antwoord vir x-komponent: (Input answer into the window below & include calculations in written submission) Answer: a,ii) Input answer for y-component: / Toevoer antwoord vir y-komponent: (Input answer into window below & include calculations in written submission) b) Calculate the pressure as a function of the position. / Bereken die druk as 'n funksie van posisie.
A disk of radius R rotates at an angular velocity V inside adisk-shaped container fi lled with oil of viscosity μ , asshown in Fig. Assuming a linear velocity profi le andneglecting shear stress on the outer disk edges, derive aformula for the viscous torque on the disk.
A cylindrical tank shown below has a radius ? and a circular orifice at the bottom of radius ?. At time ? = 0 the liquid level in the tank is ho. (a) Use the Bernoulli equation to determine the relations between the orifice velocity ?o and the free surface velocity ?s (assume the surface velocity is not zero). (b) Use conservation of mass to determine the orifice velocity in terms of the free surface velocity. (c) Use the results in (a) and (b) to derive a differential equation for h(?). Note that ?s = − dh/dt. d) Separate variables and solve the equation for h(?) with the initial condition h(0) = ho (e) Determine how long it will take to empty the tank.
For a flow in the xy plane, the x component of the velocity is u=3x2y-y3is given. Determine the y component for steady state and incompressible flow. Does this result also apply to unstable, incompressible flow? Why is that? How many possible y components are there? Discuss.
5. The stream function for a two-dimensional incompressible flow is ax? ay2 + bxy 2 Where a, and b are known constants. Find the velocity potential for the flow.
A typical carbon dioxide tank for a paintball gun holdsabout 12 oz of liquid CO2. The tank is fi lled no more thanone-third with liquid, which, at room temperature, maintainsthe gaseous phase at about 850 psia. (a) If a valve isopened that simulates a converging nozzle with an exitdiameter of 0.050 in, what mass fl ow and exit velocityresults? (b) Repeat the calculations for helium.
When a flow is considered incompressible what assumption is being made regarding fluid properties? The answer was: Density is assumed to remain constant I want to know why is this the answer?