Fox and McDonald's Introduction to Fluid Mechanics
Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
bartleby

Videos

Textbook Question
Book Icon
Chapter 8, Problem 36P

Consider fully developed laminar flow in the annulus between two concentric pipes. The outer pipe is stationary, and the inner pipe moves in the x direction with speed V. Assume the axial pressure gradient is zero (∂p/∂x = 0). Obtain a general expression for the shear stress, τ, as a function of the radius, r, in terms of a constant, C1. Obtain a general expression for the velocity profile, u(r), in terms of two constants, C1 and C2. Obtain expressions for C1 and C2.

Chapter 8, Problem 36P, Consider fully developed laminar flow in the annulus between two concentric pipes. The outer pipe is

P8.36

Blurred answer
Students have asked these similar questions
Consider flow of an incompressible fluid of density ρ and viscosity µ through a long, horizontal round pipe of diameter D. V is the average speed remains constant down the pipe. For a very long pipe, the flow eventually becomes fully developed, which means that the velocity profile also remains uniform down the pipe. Because of frictional forces between the fluid and the pipe wall, there exists a shear stress τw on the inside pipe wall. We assume some constant average roughness height, along the inside wall of the pipe. In fact, the only parameter that is not constant down the length of pipe is the pressure, which must decrease (linearly) down the pipe in order to “push” the fluid through the pipe to overcome friction. Develop a nondimensional relationship between shear stress τw and the other parameters in the problem.
The velocity of a flow is given as V = -x² i + (x + 2y) j. where V is in ft/s and X and y are in ft. • What is the volumetric strain rate at X = 0, y = 0? • What is the vorticity at X = 0, y = 0? Air at 80° C and standard atmospheric pressure flows through a round pipe 40 cm in diameter at a speed of 9 m/s. • What is the mass flow rate of this air flow? • What is the specific kinetic energy in this flow?
Velocity Profiles for Flow Between Parallel Plates. In Example 8.3-2, a fluid is flowing between vertical parallel plates with one plate moving. Do as follows: 1. Determine the average velocity and the maximum velocity. 2. Make a sketch of the velocity profile for three cases where the surface is moving upward, moving downward, and stationary.

Chapter 8 Solutions

Fox and McDonald's Introduction to Fluid Mechanics

Ch. 8 - The basic component of a pressure gage tester...Ch. 8 - When a horizontal laminar flow occurs between two...Ch. 8 - In a laminar flow of water of 0:007 m3/s between...Ch. 8 - Consider the simple power-law model for a...Ch. 8 - A sealed journal bearing is formed from concentric...Ch. 8 - Using the profile of Problem 8.15, show that the...Ch. 8 - In a laminar flow between parallel plates spaced...Ch. 8 - A fluid of specific gravity 0.90 flows at a...Ch. 8 - Two immiscible fluids are contained between...Ch. 8 - The record-read head for a computer disk-drive...Ch. 8 - Consider steady, incompressible, and fully...Ch. 8 - In a flow of air between parallel plates spaced...Ch. 8 - Consider fully developed flow between parallel...Ch. 8 - Free-surface waves begin to form on a laminar...Ch. 8 - A viscous-shear pump is made from a stationary...Ch. 8 - The efficiency of the viscous-shear pump of Fig....Ch. 8 - An inventor proposes to make a viscous timer by...Ch. 8 - A continuous belt, passing upward through a...Ch. 8 - A wet paint film of uniform thickness, , is...Ch. 8 - Consider first water and then SAE 10W lubricating...Ch. 8 - Using Eq. A.3 in Appendix A for the viscosity of...Ch. 8 - Consider fully developed laminar flow in the...Ch. 8 - Carbon dioxide flows in a 50-mm-diameter pipe at a...Ch. 8 - Consider fully developed laminar flow in a...Ch. 8 - What is the largest diameter of pipeline that may...Ch. 8 - Consider fully developed laminar flow in the...Ch. 8 - Consider fully developed pressure-driven flow in a...Ch. 8 - In the laminar flow of an oil of viscosity 1 Pa_s,...Ch. 8 - In a laminar flow of 0.007 m3/s in a...Ch. 8 - Consider blood flow in an artery. Blood is...Ch. 8 - The classic Poiseuille flow (Eq. 8.12), is for...Ch. 8 - For pressure-driven, steady, fully developed...Ch. 8 - In a laminar flow in a 12-in.-diameter pipe the...Ch. 8 - A fluid of specific gravity 0.90 flows at a...Ch. 8 - In a food industry plant, two immiscible fluids...Ch. 8 - A horizontal pipe carries fluid in fully developed...Ch. 8 - Kerosene is pumped through a smooth tube with...Ch. 8 - In a flow of water in a 0.3-m-diameter pipe, the...Ch. 8 - A liquid drug, with the viscosity and density of...Ch. 8 - Laufer [5] measured the following data for mean...Ch. 8 - Equation 8.23 gives the power-law velocity profile...Ch. 8 - Consider fully developed laminar flow of water...Ch. 8 - Consider fully developed laminar flow in a...Ch. 8 - If the turbulent velocity profile in a pipe 0.6 m...Ch. 8 - Water flows in a horizontal constant-area pipe;...Ch. 8 - For a given volume flow rate and piping system,...Ch. 8 - Consider the pipe flow from the water tower of...Ch. 8 - At the inlet to a constant-diameter section of the...Ch. 8 - When oil (kinematic viscosity 1 104 m2/s,...Ch. 8 - When fluid of specific weight 50 lb/ft3 flows in a...Ch. 8 - If the head lost in 30-m-diameter of...Ch. 8 - Water flows at 10 L/min through a horizontal...Ch. 8 - Laufer [5] measured the following data for mean...Ch. 8 - Water is pumped at the rate of 0.075 m3/s from a...Ch. 8 - Just downstream from the nozzle tip the velocity...Ch. 8 - A horizontal nozzle having a cylindrical tip of 75...Ch. 8 - When 0.3 m3/s of water flows through a...Ch. 8 - Water flows through a 2-in.-diameter tube that...Ch. 8 - A 50-mm-diameter nozzle terminates a vertical...Ch. 8 - A 12-in.-diameter pipe leaves a reservoir of...Ch. 8 - A water pipe gradually changes from 6-in.-diameter...Ch. 8 - Air at standard conditions flows through a sudden...Ch. 8 - Water flows from a larger pipe, diameter D1 = 100...Ch. 8 - Flow through a sudden contraction is shown. The...Ch. 8 - A flow rate of 1.01/min of oil of specific gravity...Ch. 8 - Water flows in a smooth pipeline at a Reynolds...Ch. 8 - Air flows out of a clean room test chamber through...Ch. 8 - A conical diffuser is used to expand a pipe flow...Ch. 8 - By applying the basic equations to a control...Ch. 8 - Water at 45C enters a shower head through a...Ch. 8 - Water discharges to atmosphere from a large...Ch. 8 - A laboratory experiment is set up to measure...Ch. 8 - Oil with kinematic viscosity = 7.5 104 ft2/s...Ch. 8 - Water from a pump flows through a 9-in.-diameter...Ch. 8 - A 5-cm-diameter potable water line is to be run...Ch. 8 - A system for testing variable-output pumps...Ch. 8 - Two reservoirs are connected by three clean...Ch. 8 - Water, at volume flow rate Q = 0.75 ft3/s, is...Ch. 8 - When you drink a beverage with a straw, you need...Ch. 8 - What flow rate (gpm) will be produced in a...Ch. 8 - Gasoline flows in a long, underground pipeline at...Ch. 8 - An 18-in.-diameter new riveted steel pipeline 1000...Ch. 8 - What diameter of smooth masonry pipe is needed to...Ch. 8 - Water flows steadily in a 125-mm-diameter...Ch. 8 - Two galvanized iron pipes of diameter D are...Ch. 8 - A mining engineer plans to do hydraulic mining...Ch. 8 - The flow of water through a 150-mm-diameter...Ch. 8 - The fluid flowing has specific gravity 0.90; V75=6...Ch. 8 - Water is flowing. Calculate the direction and...Ch. 8 - Investigate the effect of tube roughness on flow...Ch. 8 - Investigate the effect of tube length on water...Ch. 8 - For the pipe flow into a reservoir of Example 8.5...Ch. 8 - Calculate the magnitude and direction of the...Ch. 8 - Experimental determination of local losses and...Ch. 8 - Water is flowing. Calculate the gage reading when...Ch. 8 - The siphon shown is fabricated from 50-mm-i.d....Ch. 8 - A large open water tank has a horizontal cast iron...Ch. 8 - A tank containing 30 m3 of kerosene is to be...Ch. 8 - A 90 screwed elbow is installed in a...Ch. 8 - Calculate the total tension in the bolts. Neglect...Ch. 8 - A horizontal 50-mm-diameter PVC pipeline leaves...Ch. 8 - You are watering your lawn with an old hose....Ch. 8 - Your boss claims that for pipe flow the flow rate,...Ch. 8 - A hydraulic press is powered by a remote...Ch. 8 - One-quarter of a cubic meter per second of liquid...Ch. 8 - Calculate the flow rate from this water tank if...Ch. 8 - A 6-ft-diameter pipeline 4 miles long between two...Ch. 8 - A new industrial plant requires a water flow rate...Ch. 8 - What diameter water pipe is required to handle...Ch. 8 - A pipe friction experiment for air consists of a...Ch. 8 - Oil has been flowing from a large tank on a hill...Ch. 8 - The pressure rise across a water pump is 35 psi...Ch. 8 - Cooling water is pumped from a reservoir to rock...Ch. 8 - You are asked to size a pump for installation in...Ch. 8 - Heavy crude oil (SG = 0.925 and = 1.0 104 m2/s)...Ch. 8 - Petroleum products are transported over long...Ch. 8 - The head versus capacity curve for a certain fan...Ch. 8 - A swimming pool has a partial-flow filtration...Ch. 8 - Water at 65C flows through a 75-mm-diameter...Ch. 8 - A 12 in. 6 in. Venturi meter is installed in a...Ch. 8 - A 1-in.-diameter nozzle is attached to a...Ch. 8 - A sharp-edged orifice with conventional pressure...Ch. 8 - A venturi meter with a 3-in.-diameter throat is...Ch. 8 - Air flows through a venturi meter with a...Ch. 8 - Water at 10C flows steadily through a venturi. The...Ch. 8 - Drinking straws are to be used to improve the air...Ch. 8 - In some western states, water for mining and...

Additional Engineering Textbook Solutions

Find more solutions based on key concepts
Knowledge Booster
Background pattern image
Mechanical Engineering
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
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Text book image
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Text book image
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Text book image
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Text book image
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Text book image
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Everything About TRANSVERSE SHEAR in 10 Minutes!! - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=4x0E9yvzfCM;License: Standard Youtube License