FUNDAMENTALS OF FLUID MECHANICS8th EditionGERHART Publisher: WILEYISBN: 9781119571490
FUNDAMENTALS OF FLUID MECHANICS
Solutions for FUNDAMENTALS OF FLUID MECHANICS
Problem 5P:
Verify the dimensions, in both the FLT system and the MLT system, of the following quantities which...Problem 6P:
If u is a velocity, x a length, and t a time, what are the dimensions (in the MLT system) of (a)...Problem 7P:
Verify the dimensions, in both the FLT system and the MLT system, of the following quantities which...Problem 8P:
If p is a pressure, V a velocity, and ρ a fluid density, what are the dimensions (in the MLT system)...Problem 9P:
If P is a force and x a length, what are the dimensions (in the FLT system) of (a) dP/dx, (b)...Problem 10P:
If V is a velocity, ℓ a length, and ν a fluid property (the kinematic viscosity) having dimensions...Problem 11P:
The momentum flux (discussed in Chapter 5) is given by the product ṁV, where ṁ is mass flow rate and...Problem 12P:
An equation for the frictional pressure loss Δ p (inches H2O) in a circular duct of inside diameter...Problem 13P:
The volume rate of flow, Q, through a pipe containing a slowly moving liquid is given by the...Problem 14P:
Show that each term in the following equation has units of lb/ft3. Consider u a velocity, y a...Problem 15P:
The pressure difference, Δp, across a partial blockage in an artery (called a stenosis) is...Problem 16P:
Assume that the speed of sound, c, in a fluid depends on an elastic modulus, Eυ, with dimensions...Problem 17P:
A formula to estimate the volume rate of flow, Q, flowing over a dam of length, B, is given by the...Problem 18P:
A commercial advertisement shows a pearl falling in a bottle of shampoo. If the diameter D of the...Problem 20P:
Express the following quantities in SI units: (a) 10.2 in./min, (b) 4.81 slugs, (c) 3.02 lb, (d)...Problem 21P:
Express the following quantities in BG units: (a) 14.2 km, (b) 8.14 N/m3, (c) 1.61 kg/m3, (d) 0.0320...Problem 22P:
Express the following quantities in SI units: (a) 160 acres, (b) 15 gallons (U.S.), (c) 240 miles,...Problem 23P:
Water flows from a large drainage pipe at a rate of 1200 gal/min. What is this volume rate of flow...Problem 24P:
The universal gas constant R0 is equal to 49,700 ft2/(s2 ∙ °R), or 8310 m2/(s2 ∙ K). Show that these...Browse All Chapters of This Textbook
Chapter 1.2 - Dimensions, Dimensional Homogeneity, And UnitsChapter 1.4 - Measures Of Fluid Mass And WeightChapter 1.5 - Ideal Gas LawChapter 1.6 - ViscosityChapter 1.7 - Compressibility Of FluidsChapter 1.8 - Vapor PressureChapter 1.9 - Surface TensionChapter 2.3 - Pressure Variation In A Fluid At RestChapter 2.4 - Standard AtmosphereChapter 2.5 - Measurement Of Pressure
Chapter 2.6 - ManometryChapter 2.8 - Hydrostatic Force On A Plane SurfaceChapter 2.10 - Hydrostatic Force On A Curved SurfaceChapter 2.11 - Buoyancy, Flotation, And StabilityChapter 2.12 - Pressure Variation In A Fluid With Rigid-body MotionChapter 3.2 - F = Ma Along A StreamlineChapter 3.3 - F = Ma Normal To A StreamlineChapter 3.5 - Static, Stagnation, Dynamic, And Total PressureChapter 3.6 - Examples Of Use Of The Bernoulli EquationChapter 3.7 - The Energy Line And The Hydraulic Grade LineChapter 3.8 - Restrictions On Use Of The Bernoulli EquationChapter 4.1 - The Velocity FieldChapter 4.2 - The Acceleration FieldChapter 4.4 - The Reynolds Transport TheoremChapter 5.1 - Conservation Of Mass—the Continuity EquationChapter 5.2 - Newton’s Second Law—the Linear Momentum And Moment-of-momentum EquationsChapter 5.3 - First Law Of Thermodynamics— The Energy EquationChapter 5.5 - Chapter Summary And Study GuideChapter 6.1 - Fluid Element KinematicsChapter 6.2 - Conservation Of MassChapter 6.3 - The Linear Momentum EquationChapter 6.4 - Inviscid FlowChapter 6.5 - Some Basic, Plane Potential FlowsChapter 6.6 - Superposition Of Basic, Plane Potential FlowsChapter 6.8 - Viscous FlowChapter 6.9 - Some Simple Solutions For Laminar, Viscous, Incompressible FlowsChapter 6.10 - Other Aspects Of Differential AnalysisChapter 6.11 - Chapter Summary And Study GuideChapter 7.1 - The Need For Dimensional AnalysisChapter 7.3 - Determination Of Pi TermsChapter 7.5 - Determination Of Pi Terms By InspectionChapter 7.6 - Common Dimensionless Groups In Fluid MechanicsChapter 7.7 - Correlation Of Experimental DataChapter 7.8 - Modeling And SimilitudeChapter 7.9 - Some Typical Model StudiesChapter 7.10 - Similitude Based On Governing Differential EquationsChapter 7.11 - Chapter Summary And Study GuideChapter 8.1 - General Characteristics Of Pipe FlowChapter 8.2 - Fully Developed Laminar FlowChapter 8.3 - Fully Developed Turbulent FlowChapter 8.4 - Dimensional Analysis Of Pipe FlowChapter 8.5 - Pipe Flow ExamplesChapter 8.6 - Pipe Flowrate MeasurementChapter 8.7 - Chapter Summary And Study GuideChapter 9.1 - General External Flow CharacteristicsChapter 9.2 - Boundary Layer CharacteristicsChapter 9.3 - DragChapter 9.4 - LiftChapter 9.5 - Chapter Summary And Study GuideChapter 10.2 - Surface WavesChapter 10.3 - Energy ConsiderationsChapter 10.4 - Uniform FlowChapter 10.5 - Gradually Varied FlowChapter 10.6 - Rapidly Varied FlowChapter 10.7 - Chapter Summary And Study GuideChapter 11.1 - Ideal Gas ThermodynamicsChapter 11.2 - Stagnation PropertiesChapter 11.3 - Mach Number And Speed Of SoundChapter 11.4 - Compressible Flow RegimesChapter 11.5 - Shock WavesChapter 11.6 - Isentropic FlowChapter 11.7 - One-dimensional Flow In A Variable Area DuctChapter 11.8 - Constant-area Duct Flow With FrictionChapter 11.9 - Frictionless Flow In A Constant-area Duct With Heating Or CoolingChapter 12.1 - IntroductionChapter 12.4 - The Centrifugal PumpChapter 12.5 - Dimensionless Parameters And Similarity LawsChapter 12.6 - Axial-flow And Mixed-flow PumpsChapter 12.7 - FansChapter 12.8 - TurbinesChapter 12.9 - Compressible Flow TurbomachinesChapter 12.10 - Chapter Summary And Study Guide
Sample Solutions for this Textbook
We offer sample solutions for FUNDAMENTALS OF FLUID MECHANICS homework problems. See examples below:
Write the expression for the wind force (F). F = CDρV2A2 (I) Here, drag coefficient is CD, density...Static fluid pressure is the pressure exerted by the static fluid with respect to depth of the...The Bernoulli’s Equation can be used in many places not only in the pipe flow; the following are...Write the expression of surface velocity of the river. V=V0+ΔV(1−e−ax) Here, the constant initial...Consider the Reynolds transport theorem. DBsysDt=∂∂t∫cvρbdV+∫csρbV⋅n^dA (I) Here, control surface is...While swimming, the potential energy associated with the human body can be lost in the modes of...Write the expression of velocity in a certain two dimensional flow field. V=2xti^−2ytj^ (I) Here,...Einstein’s tea leaves experiment: In this experiment tea leaves were taken in the cup containing...Write the expression for the velocity gradient. G=W˙μV (I) Here, the power input is W˙, the fluid...
The lab-on-a-chip is integrated circuit device that integrates one or more laboratory function on a...Writ the formula for Reynolds number. Re=ρVDμ ∵(ρμ=1ν)=VDν (I) Here, the density is ρ, velocity is...Biomedical engineering applies engineering principles to solve the problems of medical field. In...The below figure represent the equatorial triangular bar. Figure-(1) Write the expression for the...The PIV technique is stands for Particle Image Velocimetry technique. The PIV technique is used for...Write the expression to obtain the acceleration due to gravity (g). c=gy g=c2y (I) Here, depth of...Nowadays it has been that the level of water in the sea is increasing year by year. The figure below...Ideal gas is a hypothetical concept whose properties are defined using ideal gas equation. Write the...Pump: It is defined as a machine or device which is used to force a fluid to move in a given...
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