Case Studies in Fluid Mechanics with Sensitivities to Governing Variables

Covers a wide range of practical fluid mechanics, heat transfer, and mass transfer problems This book covers the many issues that occur in practical fluid mechanics, heat transfer, and mass transfer, and examines the basic laws (the conservation of matter, conservation of momentum, conservation of energy, and the second law of thermodynamics) of these areas. It offers problem solutions that start with simplifying engineering assumptions and then identifies the governing equations and dependent and independent variables. When solutions to basic equations are not possible, the book utilizes historical experimental studies. It also looks at determining appropriate thermo-physical properties of the fluid under investigation, and covers solutions to governing equations with experimental studies. Case Studies in Fluid Mechanics with Sensitivities to Governing Variables offers chapters on: draining fluid from a tank; vertical rise of a weather balloon; wind drag forces on people; Venturi meter; fluid’s surface shape in a rotating cylindrical tank; range of an aircraft; designing a water clock; water turbine under a dam; centrifugal separation of particles; ideal gas flow in nozzles and diffusers; water supply from a lake to a factory; convection mass transfer through air-water interface; heating a room by natural convection; condensation on the surface of a vertical plate in laminar flow regime; bubble rise in a glass of beer; and more. Covers a broad spectrum of problems in practical fluid mechanics, heat transfer, and mass transfer Examines the basic laws of fluid mechanics, heat transfer and mass transfer Presents solutions to governing equations with experimental studies Case Studies in Fluid Mechanics with Sensitivities to Governing Variables will appeal to engineers working in thermo-physical sciences and graduate students in mechanical engineering.

Series Preface vii Preface ix Acknowledgments xi About the Author xiii Introduction xv 1 Draining Fluid from a Tank 1 2 Vertical Rise of a Weather Balloon 9 3 Stability of a Floating Cone inWater 17 4 Wind Drag Forces on People 23 5 Creeping Flow Past a Sphere 29 6 Venturi Meter 39 7 Fluid’s Surface Shape in a Rotating Cylindrical Tank 45 8 Pin Floating on Surface of a Liquid 53 9 Small Raindrops 59 10 Range of an Aircraft 63 11 Designing a Water Clock 67 12 Water Turbine under a Dam 75 13 Centrifugal Separation of Particles 81 14 A Simple Carburetor 89 15 Ideal Gas Flow in Nozzles and Diffusers 97 16 Laminar Flow in a Pipe 103 17 Water Supply from a Lake to a Factory 109 18 Air or Water Flow Required to Cool a PC Board 113 19 Convection Mass Transfer through Air–Water Interface 123 20 Heating a Room by Natural Convection 129 21 Laminar Flow through Porous Material 137 22 Condensation on the Surface of a Vertical Plate in a Laminar Flow Regime 145 23 A Non-Newtonian Fluid Flow in a Pipe 153 24 Bubble Rise in a Glass of Beer 163 References 169 Index 171