Basic Fluid Dynamics

BASIC FLUID DYNAMICS: EXERCISES

All the Exercises

Descriptions of Fluid Motion (Ba)
       Descriptions of Fluid Motions       (Baa)
       Fluid Accelerations       (Bab)
       Steady Flow       (Bac)
       Derivation of the Relation between the Time Derivatives       (Bad)        Exercises
       Transport Thereom       (Bae)
Kinematics of Fluid Motion (Bb)
       Kinematics of Fluid Motions       (Bba)
       Illustration of Fluid Deformation       (Bbb)
Conservation of Mass (Bc)
       Conservation of Mass       (Bca)
       Control Volume       (Bcb)
       Macroscopic form of Continuity       (Bcc)
       Differential form of Continuity       (Bcd)        Exercises      Exercises
       Continuity equation in various coordinate systems       (Bce)
       Integral form of Continuity       (Bcf)
       Streamlines, Pathlines and Streaklines       (Bcg)        Exercises
       Streamfunction       (Bch)
       Examples of streamfunctions       (Bcj)        Exercises
Newton's Law (Bd)
       Newton's Law of Motion       (Bda)
       Euler's Equations of Motion       (Bdb)        Exercises
       Euler's Equations of Motion in Other Coordinates       (Bdc)
       Vorticity       (Bdd)        Exercises
       Circulation       (Bde)        Exercises
       Kelvin's Theorem       (Bdj)
       Velocity Potential       (Bdf)        Exercises
       Bernoulli's Equation       (Bdg)        Exercises      Exercises
       Energy Implications of Bernoulli's Equation       (Bdh)
Momentum Theorem (Be)
       Linear Momentum Theorem       (Bea)        Exercises      Exercises      Exercises
       Example: Arbitrary Duct       (Beb)        Exercises
       Example: Fire Hose Nozzle       (Bec )
       Example: Fire Hose with Bend       (Bed)
       Connection between drag and a wake       (Bee)
       Jet Engine       (Bef)        Exercises
       Rocket Engine       (Beg)
       Angular Momentum Theorem       (Beh)        Exercises
       Example: Pump or Turbine       (Bei)
Steady one-dimensional internal flows (Bf)
       Hydraulic System Analysis       (Bfa)        Exercises
       Viscous Losses in Incompressible Fluid Flows       (Bfb)        Exercises      Exercises
       Viscous losses in pipes       (Bfc)
       Viscous Losses in Fittings       (Bfd)
       Diffusers and Nozzles       (Bfe)
       Incompressible Flows with External Energy Exchange       (Bff)
       Pumps and Turbines       (Bfg)        Exercises
       Turbomachine Design       (Bfh)
      Turbomachine Performance       (Bfi)
Unsteady one-dimensional internal flows (Bn)
       Introduction       (Bna)
       System Analysis       (Bnb)
       Quasistatic Stability Analysis       (Bnc)        Exercises

             Quasistatic Stability Analyses             (Bnca)
             Turbomachine Surge             (Bncb)
             Ledinegg Instability             (Bncc)
             Geyser Instability             (Bncd)
       Unsteady Bernoulli Equation       (Bnd)        Exercises
             Unsteady Bernoulli Equation             (Bnda)
             Manometer Oscillations             (Bndb)
       Dynamic Instabilities       (Bne)
             Dynamic Instabilities             (Bnea)
             Cavitation Surge             (Bneb)
             Condensation Instabilities and Chugging             (Bnec)
       Time Domain Methods       (Bnf)
             Time Domain Methods             (Bnfa)
             Wavepropagation in Ducts             (Bnfb)
             Method of Characteristics             (Bnfc)
             Turbomachine Dynamics             (Bnfd)
       Frequency Domain Methods       (Bng)
             Frequency Domain Methods             (Bnga)
             System with Rigid Body Vibration             (Bngk)
             Order of the System             (Bngb)
             Transfer Matrices             (Bngc)
             Distributed Systems             (Bngd)
             Combinations of Transfer Matrices             (Bnge)
             Properties of Transfer Matrices             (Bngf)
             Measurement of Transfer Matrices             (Bngl)
             Some Simple Transfer Matrices             (Bngg)
             Fluctuation Energy Flux             (Bngh)
             Turbomachine Dynamics             (Bngi)
Incompressible, Inviscid, Irrotational Flow (Bg)
       Potential Flow       (Bga)
       Methods of Solution of Laplace's Equation       (Bgb)
       Gravity Waves on a Liquid Surface       (Bgc)        Exercises
             Separation of Variables in Cartesian Coordinates             (Bgca)
             Gravity Waves Boundary Conditions             (Bgcb)
             Gravity Waves on an Infinitely Deep Ocean             (Bgcc)
             Gravity Waves on an Finite-Depth Ocean             (Bgcd)
             Standing Waves             (Bgce)
             Gravity Waves at Vertical Boundaries             (Bgcf)
       Fundamental Singularities       (Bgd)        Exercises
             Separation of Variables in Polar Coordinates             (Bgda)
             General Solution to Potential Flow in Polar Coordinates             (Bgdb)
            The Free Vortex             (Bgdc)
             Sources and Sinks             (Bgdd)
             Planar Rankine Half-Bodies             (Bgde)
             PlanarDoublet             (Bgdf)
             Planar Rankine Body             (Bgdg)
             Cylinder             (Bgdh)
             Cylinder with Circulation             (Bgdi)
             Lift and Drag in Potential Flow             (Bgdj)
             Kelvin Ovals             (Bgdk)
             Vortex Sheets             (Bgdl)
            Images and Walls             (Bgdm)
             Point Singularities             (Bgdn)
       Methods of Complex Variables       (Bge)
             Cauchy-Riemann Relations             (Bgea)
             Method of Complex Variables             (Bgeb)        Exercises      Exercises
             Conformal Mapping             (Bgec)
             Joukowski Airfoils             (Bged)        Exercises
             Flat Plate Airfoil             (Bgee)
       Axisymmetric Flow       (Bgf)        Exercises
             Axisymmetric Flow             (Bgfa)
             Axisymmetric Flow without Swirl             (Bgfb)
             Axisymmetric Flow with Swirl              (Bgfc)
General Equations of Motion (Bh)
       Stress Tensor       (Bha)
       Equations of Motion in terms of Stress       (Bhb)
       Constitutive Laws       (Bhc)
       Constitutive Laws in Cylindrical Coordinates       (Bhd)
       Constitutive Laws in Spherical Coordinates       (Bhe)
       Navier-Stokes Equations       (Bhf)
       Navier-Stokes Equations in Cylindrical Coordinates       (Bhg)
       Navier-Stokes Equations in Spherical Coordinates       (Bhh)
       Vorticity Transport Equation       (Bhi)
Exact Solutions to Navier-Stokes Equations (Bi)        Exercises
       Introduction to Exact Solutions of Navier-Stokes Equations       (Bia)
       Couette and Planar Poiseuille Flow       (Bib)
       Poiseuille Flow       (Bic)
       Radial Flow       (Bid)
       Vortex Flow       (Bie)
       Rayleigh and Ekman Flow       (Bif)        Exercises
       Laminar Round Jet       (Big)
       Category 2 Solutions       (Bih)
Boundary Layer Flows (Bj)
       Introduction to Boundary Layer Flows       (Bja)
       Laminar Boundary Layer Equations       (Bjb)
       Exact Solutions to Laminar Boundary Layer Equations       (Bjc)
       Blasius Solution       (Bjd)
       Falkner-Skan Solutions       (Bje)        Exercises
       Thicknesses and Surface Stress       (Bjf)        Exercises
       Development of Laminar Boundary Layers       (Bjg)        Exercises
       Karman Momentum Integral Equation       (Bjh)
       Approximate Methods       (Bji)        Exercises
       Effect of Suction       (Bjj)
Turbulence (Bk)
       Introduction to Turbulence       (Bka)
       The Development of Turbulence       (Bkb)        Exercises
       Linear Stability Analyses       (Bkc)        Exercises
       Stability of Parallel Flows       (Bkd)
      Amplification of Disturbances       (Bke)
      Turbulence Spectra and Scales       (Bkf)
      Reynolds Stresses       (Bkg)        Exercises
      Computing Turbulent Flows       (Bkn)
      Turbulence Models       (Bkh)
      Turbulent Couette Flow       (Bki)
      Law of the Wall       (Bkj)        Exercises
      Turbulent Pipe Flows       (Bkl)        Exercises
      Rough Pipe Flows       (Bkm)        Exercises
      Turbulent Boundary Layers       (Bkk)        Exercises      Exercises      Exercises
Stokes Flow (Bl)
       Introduction to Stokes Flow       (Bla)
       Equations of Stokes Flow       (Blb)
       Singularities       (Blc)
       Slender Body Theory       (Bld)
       Resistive Force Theory       (Ble)
       Planar Flow       (Blf)
       Axisymmetric Flow       (Blg)
       Oseen Flow       (Blh)
Unsteady Flows (Bm)
       Introduction       (Bma)
       Added Mass       (Bmb)        Exercises
             Introduction             (Bmba)
             Added Mass Matrix             (Bmbb)
             Fluid Acceleration far from the Body             (Bmbc)
             Values of the Added Mass             (Bmbd)
             Added Mass for Joukowski Airfoils             (Bmbe)
             Additional Effects on the Added Mass             (Bmbf)
Compressible Flow (Bo)
       Preliminaries for Compressible Flow       (Boa)
       One-Dimensional Isentropic Flow       (Bob)        Exercises
       Energy Equation       (Boc)        Exercises      Exercises      Exercises      Exercises
       Speed of Sound       (Bod)        Exercises
       Isentropic Duct Flows       (Boe)        Exercises
       Choked Flow       (Bof)        Exercises
       Effect of Friction in Duct Flows       (Bog)        Exercises      Exercises
       Shock Waves       (Boh)        Exercises
       Rocket Engines       (Boi)        Exercises      Exercises
       Two-dimensional Flows       (Boj)        Exercises
       Planar Supersonic Flows for Small Deflections       (Bok)        Exercises      Exercises
       Prandtl-Meyer Expansion Fan       (Bol)
       Oblique Shock Wave       (Bom)        Exercises      Exercises      Exercises
       Compressible Potential Flow       (Bon)
       Supersonic Potential Flow       (Boo)
       Prandtl-Glauert Mapping       (Bop)        Exercises
Open Channel Flow (Bp)
       Introduction to Open Channel Flows       (Bpa)
             Gravity Waves Boundary Conditions             (Bgcb)
             Gravity Waves on an Infinitely Deep Ocean             (Bgcc)        Exercises
             Gravity Waves on an Finite-Depth Ocean             (Bgcd)        Exercises
             Standing Waves             (Bgce)        Exercises
             Gravity Waves at Vertical Boundaries             (Bgcf)        Exercises
       Finite Amplitude Waves       (Bpb)        Exercises      Exercises
       Hydraulic Jumps       (Bpc)        Exercises      Exercises      Exercises
       Frictionless Flow       (Bpd)        Exercises
       The Effect of Friction       (Bpe)        Exercises      Exercises
       The Shallow Water Wave Equations       (Bpf)


All the Exercises

Descriptions of Fluid Motion	(Ba)
Descriptions of Fluid Motions	(Baa)
Fluid Accelerations	(Bab)
Steady Flow	(Bac)
Derivation of the Relation between the Time Derivatives	(Bad)	Exercises
Transport Thereom	(Bae)
Kinematics of Fluid Motion	(Bb)
Kinematics of Fluid Motions	(Bba)
Illustration of Fluid Deformation	(Bbb)
Conservation of Mass	(Bc)
Conservation of Mass	(Bca)
Control Volume	(Bcb)
Macroscopic form of Continuity	(Bcc)
Differential form of Continuity	(Bcd)	Exercises	Exercises
Continuity equation in various coordinate systems	(Bce)
Integral form of Continuity	(Bcf)
Streamlines, Pathlines and Streaklines	(Bcg)	Exercises
Streamfunction	(Bch)
Examples of streamfunctions	(Bcj)	Exercises
Newton's Law	(Bd)
Newton's Law of Motion	(Bda)
Euler's Equations of Motion	(Bdb)	Exercises
Euler's Equations of Motion in Other Coordinates	(Bdc)
Vorticity	(Bdd)	Exercises
Circulation	(Bde)	Exercises
Kelvin's Theorem	(Bdj)
Velocity Potential	(Bdf)	Exercises
Bernoulli's Equation	(Bdg)	Exercises	Exercises
Energy Implications of Bernoulli's Equation	(Bdh)
Momentum Theorem	(Be)
Linear Momentum Theorem	(Bea)	Exercises	Exercises	Exercises
Example: Arbitrary Duct	(Beb)	Exercises
Example: Fire Hose Nozzle	(Bec )
Example: Fire Hose with Bend	(Bed)
Connection between drag and a wake	(Bee)
Jet Engine	(Bef)	Exercises
Rocket Engine	(Beg)
Angular Momentum Theorem	(Beh)	Exercises
Example: Pump or Turbine	(Bei)
Steady one-dimensional internal flows	(Bf)
Hydraulic System Analysis	(Bfa)	Exercises
Viscous Losses in Incompressible Fluid Flows	(Bfb)	Exercises	Exercises
Viscous losses in pipes	(Bfc)
Viscous Losses in Fittings	(Bfd)
Diffusers and Nozzles	(Bfe)
Incompressible Flows with External Energy Exchange	(Bff)
Pumps and Turbines	(Bfg)	Exercises
Turbomachine Design	(Bfh)
Turbomachine Performance	(Bfi)
Unsteady one-dimensional internal flows	(Bn)
Introduction	(Bna)
System Analysis	(Bnb)
Quasistatic Stability Analysis	(Bnc)	Exercises
Quasistatic Stability Analyses	(Bnca)
Turbomachine Surge	(Bncb)
Ledinegg Instability	(Bncc)
Geyser Instability	(Bncd)
Unsteady Bernoulli Equation	(Bnd)	Exercises
Unsteady Bernoulli Equation	(Bnda)
Manometer Oscillations	(Bndb)
Dynamic Instabilities	(Bne)
Dynamic Instabilities	(Bnea)
Cavitation Surge	(Bneb)
Condensation Instabilities and Chugging	(Bnec)
Time Domain Methods	(Bnf)
Time Domain Methods	(Bnfa)
Wavepropagation in Ducts	(Bnfb)
Method of Characteristics	(Bnfc)
Turbomachine Dynamics	(Bnfd)
Frequency Domain Methods	(Bng)
Frequency Domain Methods	(Bnga)
System with Rigid Body Vibration	(Bngk)
Order of the System	(Bngb)
Transfer Matrices	(Bngc)
Distributed Systems	(Bngd)
Combinations of Transfer Matrices	(Bnge)
Properties of Transfer Matrices	(Bngf)
Measurement of Transfer Matrices	(Bngl)
Some Simple Transfer Matrices	(Bngg)
Fluctuation Energy Flux	(Bngh)
Turbomachine Dynamics	(Bngi)
Incompressible, Inviscid, Irrotational Flow	(Bg)
Potential Flow	(Bga)
Methods of Solution of Laplace's Equation	(Bgb)
Gravity Waves on a Liquid Surface	(Bgc)	Exercises
Separation of Variables in Cartesian Coordinates	(Bgca)
Gravity Waves Boundary Conditions	(Bgcb)
Gravity Waves on an Infinitely Deep Ocean	(Bgcc)
Gravity Waves on an Finite-Depth Ocean	(Bgcd)
Standing Waves	(Bgce)
Gravity Waves at Vertical Boundaries	(Bgcf)
Fundamental Singularities	(Bgd)	Exercises
Separation of Variables in Polar Coordinates	(Bgda)
General Solution to Potential Flow in Polar Coordinates	(Bgdb)
The Free Vortex	(Bgdc)
Sources and Sinks	(Bgdd)
Planar Rankine Half-Bodies	(Bgde)
PlanarDoublet	(Bgdf)
Planar Rankine Body	(Bgdg)
Cylinder	(Bgdh)
Cylinder with Circulation	(Bgdi)
Lift and Drag in Potential Flow	(Bgdj)
Kelvin Ovals	(Bgdk)
Vortex Sheets	(Bgdl)
Images and Walls	(Bgdm)
Point Singularities	(Bgdn)
Methods of Complex Variables	(Bge)
Cauchy-Riemann Relations	(Bgea)
Method of Complex Variables	(Bgeb)	Exercises	Exercises
Conformal Mapping	(Bgec)
Joukowski Airfoils	(Bged)	Exercises
Flat Plate Airfoil	(Bgee)
Axisymmetric Flow	(Bgf)	Exercises
Axisymmetric Flow	(Bgfa)
Axisymmetric Flow without Swirl	(Bgfb)
Axisymmetric Flow with Swirl	(Bgfc)
General Equations of Motion	(Bh)
Stress Tensor	(Bha)
Equations of Motion in terms of Stress	(Bhb)
Constitutive Laws	(Bhc)
Constitutive Laws in Cylindrical Coordinates	(Bhd)
Constitutive Laws in Spherical Coordinates	(Bhe)
Navier-Stokes Equations	(Bhf)
Navier-Stokes Equations in Cylindrical Coordinates	(Bhg)
Navier-Stokes Equations in Spherical Coordinates	(Bhh)
Vorticity Transport Equation	(Bhi)
Exact Solutions to Navier-Stokes Equations	(Bi)	Exercises
Introduction to Exact Solutions of Navier-Stokes Equations	(Bia)
Couette and Planar Poiseuille Flow	(Bib)
Poiseuille Flow	(Bic)
Radial Flow	(Bid)
Vortex Flow	(Bie)
Rayleigh and Ekman Flow	(Bif)	Exercises
Laminar Round Jet	(Big)
Category 2 Solutions	(Bih)
Boundary Layer Flows	(Bj)
Introduction to Boundary Layer Flows	(Bja)
Laminar Boundary Layer Equations	(Bjb)
Exact Solutions to Laminar Boundary Layer Equations	(Bjc)
Blasius Solution	(Bjd)
Falkner-Skan Solutions	(Bje)	Exercises
Thicknesses and Surface Stress	(Bjf)	Exercises
Development of Laminar Boundary Layers	(Bjg)	Exercises
Karman Momentum Integral Equation	(Bjh)
Approximate Methods	(Bji)	Exercises
Effect of Suction	(Bjj)
Turbulence	(Bk)
Introduction to Turbulence	(Bka)
The Development of Turbulence	(Bkb)	Exercises
Linear Stability Analyses	(Bkc)	Exercises
Stability of Parallel Flows	(Bkd)
Amplification of Disturbances	(Bke)
Turbulence Spectra and Scales	(Bkf)
Reynolds Stresses	(Bkg)	Exercises
Computing Turbulent Flows	(Bkn)
Turbulence Models	(Bkh)
Turbulent Couette Flow	(Bki)
Law of the Wall	(Bkj)	Exercises
Turbulent Pipe Flows	(Bkl)	Exercises
Rough Pipe Flows	(Bkm)	Exercises
Turbulent Boundary Layers	(Bkk)	Exercises	Exercises	Exercises
Stokes Flow	(Bl)
Introduction to Stokes Flow	(Bla)
Equations of Stokes Flow	(Blb)
Singularities	(Blc)
Slender Body Theory	(Bld)
Resistive Force Theory	(Ble)
Planar Flow	(Blf)
Axisymmetric Flow	(Blg)
Oseen Flow	(Blh)
Unsteady Flows	(Bm)
Introduction	(Bma)
Added Mass	(Bmb)	Exercises
Introduction	(Bmba)
Added Mass Matrix	(Bmbb)
Fluid Acceleration far from the Body	(Bmbc)
Values of the Added Mass	(Bmbd)
Added Mass for Joukowski Airfoils	(Bmbe)
Additional Effects on the Added Mass	(Bmbf)
Compressible Flow	(Bo)
Preliminaries for Compressible Flow	(Boa)
One-Dimensional Isentropic Flow	(Bob)	Exercises
Energy Equation	(Boc)	Exercises	Exercises	Exercises	Exercises
Speed of Sound	(Bod)	Exercises
Isentropic Duct Flows	(Boe)	Exercises
Choked Flow	(Bof)	Exercises
Effect of Friction in Duct Flows	(Bog)	Exercises	Exercises
Shock Waves	(Boh)	Exercises
Rocket Engines	(Boi)	Exercises	Exercises
Two-dimensional Flows	(Boj)	Exercises
Planar Supersonic Flows for Small Deflections	(Bok)	Exercises	Exercises
Prandtl-Meyer Expansion Fan	(Bol)
Oblique Shock Wave	(Bom)	Exercises	Exercises	Exercises
Compressible Potential Flow	(Bon)
Supersonic Potential Flow	(Boo)
Prandtl-Glauert Mapping	(Bop)	Exercises
Open Channel Flow	(Bp)
Introduction to Open Channel Flows	(Bpa)
Gravity Waves Boundary Conditions	(Bgcb)
Gravity Waves on an Infinitely Deep Ocean	(Bgcc)	Exercises
Gravity Waves on an Finite-Depth Ocean	(Bgcd)	Exercises
Standing Waves	(Bgce)	Exercises
Gravity Waves at Vertical Boundaries	(Bgcf)	Exercises
Finite Amplitude Waves	(Bpb)	Exercises	Exercises
Hydraulic Jumps	(Bpc)	Exercises	Exercises	Exercises
Frictionless Flow	(Bpd)	Exercises
The Effect of Friction	(Bpe)	Exercises	Exercises
The Shallow Water Wave Equations	(Bpf)