BASIC FLUID DYNAMICS: EXERCISES
Number Problem Solution Problem 112A On the Lagrangian position in a simple flow Solution Problem 112B On the Lagrangian position in a simple flow Solution Problem 113A On the shallow water wave continuity equation Solution Problem 113B On the continuity relation for a gas accumulator Solution Problem 114A On the streamlines and pathlines for a simple flow Solution Problem 114B On ``Is the flow incompressible'' Solution Problem 114C On the continuity relation in cylindrical coordinates Solution Problem 115A On the flow in a wedge-shaped region Solution Problem 115B On the flow for a given streamfunction Solution Problem 115C On other stream functions Solution Problem 115D On the flow around a cylinder Solution Problem 115E On the unsteady flow in a right-angled corner Solution Problem 115F On the unsteady flow in a right-angled corner Solution Problem 115G On a non-uniform shear flow Solution Problem 115H On the flow for a given streamfunction Solution Problem 115I On the streamfunction and vorticity for given velocity components Solution Problem 115J On the streamfunction and vorticity for given velocity components Solution Problem 116A On the flow of a polytropic fluid in a rotating cylinder Solution Problem 116B On the flow surrounding a growing speherical bubble Solution Problem 116D On accelerating flow in a pipe Solution Problem 116E On unsteady flow in a right-angled corner Solution Problem 116Ex On unsteady flow in a right-angled corner Solution Problem 116F On steady flow in a right-angled corner Solution Problem 117A On the vorticity transport equation Solution Problem 117B On the flow around a cylinder Solution Problem 119A On three potential flows Solution Problem 119B On two planar flows, their vorticity and pressure Solution Problem 120A On planar flow in a rectangular corner (with thread) Solution Problem 120B On planar flow in a rectangular corner (with pressure tap) Solution Problem 120C On the flow in a hurricane Solution Problem 120D On a source near a plane wall Solution Problem 120E On a Kelvin oval with two vortices Solution Problem 120F On a sink near a wall with two pressure taps Solution Problem 120G On a spinning cylinder in a uniform stream Solution Problem 120I On the flow around the leading edge of a flat plate Solution Problem 120J On flows created by two doublets in a uniform stream Solution Problem 120K On flows created by two doublets in a uniform stream Solution Problem 120M On the pressure difference due to a sink in a flat plate Solution Problem 120N On the dimensions of a Rankine half-body Solution Problem 120P On a vortex near a plane wall and pressures on the wall Solution Problem 121A On the lift of a cylindrical artic hut Solution Problem 122A On an axisymmetric doublet in a uniform stream Solution Problem 122B On the velocity on the surface of a sphere in a uniform stream Solution Problem 123A On the drag on a spherical headform Solution Problem 130A On the wave speed in an ocean of finite depth Solution Problem 130B On the effect of surface tension on ocean wave speed Solution Problem 130C On sloshing between two infinite vertical walls Solution Problem 130E On waves on an ocean of finite depth Solution Problem 130F On sloshing in a rectangular box Solution Problem 130G On a boat floating in an infinitely deep ocean Solution Problem 130H On sloshing in a rectangular box Solution Problem 132A On an analytic function solution to potential flow Solution Problem 133A On the force on an accelerating circular cylinder Solution Problem 134A On finite difference approximations for potential flow Solution Problem 134B On the numerical solution for flow around a bend Solution Problem 136A On the computation of the surface flow on a Joukowski airfoil Solution Problem 137A On conformal mapping and the potential flow around a flat plate Solution Problem 137B On an analytic function solution to potential flow Solution Problem 138A On a finite difference approximation to a fourth order derivative Solution Problem 138B On a finite difference approximation to a second order derivative Solution Problem 138C On a finite difference approximation to a partial differential equation Solution Problem 140A On the relation between circulation and vorticity Solution Problem 140B On the flow and vorticity in a flow with changing density Solution Problem 140C On the vorticity in various incompressible flows Solution Problem 145A On the form and skin friction drag on a circular cylinder Solution Problem 147A On the conditions at a liquid/vapor interface Solution Problem 148A On Reynolds number scaling in a wind and water tunnel Solution Problem 149A On the flow in a pipe Solution Problem 150A On Couette flow with a pressure gradient Solution Problem 150B On the accelerating plate boundary layer Solution Problem 150D On Couette flow with two liquid layers Solution Problem 150E On the flow of a viscous liquid layer down an inclined plane Solution Problem 150F On the viscous flow in an annulus between cylinders Solution Problem 150H On the flow of a viscous liquid layer down a vertical plane Solution Problem 150I On the viscous flow past a cylinder with key assumptions Solution Problem 150J On the derivation of the Rayleigh-Plesset equation Solution Problem 150L On the flow in an annulus between rotating cylinders Solution Problem 150M On an impulsively started flat plate moved in its own plane Solution Problem 150N On a gas bubble growing in a viscous liquid Solution Problem 150O On a flat plate oscillating in its own plane Solution Problem 160A On the pipe flow between reservoirs Solution Problem 160B On the flow of a non-Newtonian liquid in a pipe Solution Problem 160C On the planar Poiseuille flow of a non-Newtonian liquid Solution Problem 160D On a branching pipe network flow Solution Problem 160E On the flow of a non-Newtonian liquid in a pipe Solution Problem 201A On the flow through a hole in the bottom of a watertank Solution Problem 204A On losses in an axial flow fan Solution Problem 204B On a pump in a hydraulic circuit Solution Problem 204C On the work input to a pump Solution Problem 205A On choosing a pump for a given application Solution Problem 205B On a hydroelectric turbine installation Solution Problem 205C On the design of a hovercraft Solution Problem 205D On the design of a wind tunnel Solution Problem 205E On a pump-driven cooling water system Solution Problem 205F On choosing an axial flow pump Solution Problem 206A On oscillations in a manometer with different-sized legs Solution Problem 206B On oscillations in a partially submerged vertical tube Solution Problem 210A On a pump accelerating flow in a pipeline Solution Problem 210C On the natural frequency of a pressure transducer connecting tube Solution Problem 210D On the stability of a pumping system between reservoirs Solution Problem 210E On the natural frequency of a pipeline with a surge tank Solution Problem 220A On the flow under a sluice gate Solution Problem 220B On two horizontal jets impacting a vertical plate Solution Problem 220C On a ducted propeller Solution Problem 220D On choked cavity flow in a circular water tunnel Solution Problem 220E On a free jet impacting a wedge Solution Problem 220F On the conditions across a hydraulic jump Solution Problem 220G On a free jet impacting an inclined plane Solution Problem 220H On the flow over a spillway Solution Problem 220I On the performance of a Pelton wheel Solution Problem 220J On a fire-fighting pump, hose and nozzle Solution Problem 220K On a Venturi flow meter Solution Problem 220L On the branching flow inside a solid block Solution Problem 222A On a turbojet engine with non-uniform exhaust Solution Problem 222B On the relation between the drag and the wake behind a body Solution Problem 222C On a turbojet engine with non-uniform exhaust Solution Problem 225A On a two-stage impulse turbine Solution Problem 225B On the low pressure LOX pump in the Space Shuttle Main Engine Solution Problem 230A On a flat plate accelerating in its own plane Solution Problem 240A On speed of a racing eight Solution Problem 240B On the inlet duct of an air ventilation system Solution Problem 240Be On the inlet duct of an air ventilation system Solution Problem 240C On the entrance length for a pipe Solution Problem 240D On the speed of a spinaker-propelled yacht Solution Problem 241A On the growth of various Falkner-Skan boundary layers Solution Problem 241B On the laminar boundary layer near a stagnation point Solution Problem 241C On the laminar boundary layer in a diffuser Solution Problem 241D On the laminar boundary layer in a diffuser Solution Problem 241E On the laminar boundary layer near a stagnation point Solution Problem 241Ea On the laminar boundary layer near a stagnation point Solution Problem 250A On a laminar boundary layer with a sinusoidal profile Solution Problem 250B On the laminar boundary layer on a porous plate Solution Problem 250C On a laminar boundary layer with x1/9 behavior Solution Problem 250D On the laminar free surface layer on a flat plate Solution Problem 250E On a laminar boundary layer with x1 behavior Solution Problem 250F On a laminar boundary layer with x1/2 behavior Solution Problem 250Z On a laminar boundary layer with x1/2 behavior Solution Problem 255A On laminar boundary layer separation from a cylinder Solution Problem 255B On the boundary layer separation and transition question Solution Problem 260A On instability in a Blasius boundary layer Solution Problem 260B On a boundary layer with laminar and turbulent sections Solution Problem 267A On the Rayleigh stability of a boundary layer flow Solution Problem 267B Continuation of Problem 267A Solution Problem 268A On a demonstration of Reynolds stresses Solution Problem 268B On the evaluation of the universal constant Solution Problem 269A On a the law of the wall for a rough wall Solution Problem 270B On the friction factor for an approximate velocity profile Solution Problem 270C On the flow velocity in a long ventilation duct Solution Problem 270D On the thickness of the laminar sublayer Solution Problem 270E On the turbulent velocity profile in a cylindrical pipe Solution Problem 271A On the turbulent boundary layer on a flat plate Solution Problem 272A On a wind-driven turbulent layer of water Solution Problem 272B On turbulent planar Poiseuille flow Solution Problem 272C On turbulent planar Poiseuille flow Solution Problem 274A On the aging of a long water supply pipe Solution Problem 274B On the Chatsworth fountain Solution Problem 276A On the turbulent boundary layer on a rough flat plate Solution Problem 276B On the turbulent Couette flow under a planing automobile tire Solution Problem 276C On the skin friction drag on a yacht Solution Problem 280A On the projected area of a parachute Solution Problem 280B On the skin friction and form drag on a wedge Solution Problem 280C On the skin friction and form drag on a rounded-nosed strut Solution Problem 280D On the skin friction and wave drag on ship Solution Problem 280E On the skin friction and form drag on a rounded-nosed strut Solution Problem 290A On the lift of a spinning cylinder Solution Problem 290B On the trajectory of a curve ball Solution Problem 292A On the take-off of a Boeing 747 Solution Problem 292B On the lift drag and glide angle of a glider Solution Problem 292C On the minimum glide angle of an airplane Solution Problem 292D On the minimum glide angle of an airplane Solution Problem 295A On the propulsion of a paddle steamer Solution Problem 295B On a propeller-driven boat Solution Problem 295C On the propulsion of a whale Solution Problem 295D On the propulsion of an eel-like organism Solution Problem 295E On the propulsion of an amoeba Solution Problem 301A On the temperatures and pressures on an airplane Solution Problem 302A On the air flow through a compressor Solution Problem 302B On the air flow through a compressor Solution Problem 303A On the air flow through a blower Solution Problem 304A On the stagnation point pressure at Mach 4 Solution Problem 310A On the speed of sound in a flexible pipe Solution Problem 312A On heat addition to a pipe flow Solution Problem 312B On heat addition to a pipe flow Solution Problem 312C On heat addition to a pipe flow Solution Problem 320A On a correctly-expanded rocket engine nozzle Solution Problem 321A On a hole in a large air reservoir Solution Problem 323A On flow injection into a flow in tube Solution Problem 324A On the thrust produced by a correctly-expanded rocket engine Solution Problem 330A On the shock wave produced by a bursting automobile tire Solution Problem 332A On a de Laval nozzle with a shock at the exit Solution Problem 332B On a de Laval nozzle with a shock midway through the diffuser Solution Problem 332C On a rocket engine with various pressure ratios Solution Problem 334A On a Pitot tube in supersonic flow Solution Problem 334B On a Pitot tube in supersonic flow Solution Problem 336A On friction in pipe flow at supersonic speeds Solution Problem 340A On supersonic flow past a diamond-shaped object Solution Problem 340B On supersonic flow past an inclined plate Solution Problem 340C On supersonic flow past a triangular-shaped object Solution Problem 340D On supersonic flow past a rounded diamond-shaped foil Solution Problem 340E On supersonic flow past a biplane shape Solution Problem 340F On supersonic flow past a flat-plate foil close to the ground Solution Problem 340G On the lift in supersonic flow past a flapped foil Solution Problem 344A On compressible flow over a wavy wall Solution Problem 345A On the drag of a wedge in subsonic flow Solution Problem 350A On supersonic flow past an expansion turn in a wall Solution Problem 352A On supersonic flow past a triangular projection on a wall Solution Problem 352B On supersonic flow past a flat plate airfoil Solution Problem 352C On supersonic flow past a symmetric wedge Solution Problem 352D On supersonic flow entering two engine intakes Solution Problem 352E On subsonic flow impacting a symmetric wedge with needle Solution Problem 352F On supersonic flow and drag for a diamond-shaped object Solution Problem 354A On underexpanded flow exiting a rocket nozzle Solution Problem 354B On supersonic airplane flying close to the ground Solution Problem 354C On a flat plate foil operating close to the ground Solution Problem 354D On a reflected oblique shock Solution Problem 450A Open channel flow with hydraulic jump Solution Problem 450B On the flow over a dam Solution Problem 450C On the energy loss in a hydraulic jump Solution Problem 452A On a turbulent flow down an inclined chute Solution Problem 454A On a tidal bore Solution
Last updated 4/9/04.
Christopher E. Brennen