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In order to complete this tutorial you should already have completed level 1 or have a good basic knowledge of fluid mechanics equivalent to the Engineering Council part 1 examination 103.
In this book we look at deriving the governing equations of fluid flow using conservation of energy techniques on a differential element undergoing shear stress or viscous forces as it moves along a pipe and we use the expression for friction coefficient for laminar flow to derive the equations.We also derive other friction factors to explain experimental observations. We also derive the equations that work for Torricelli flow and there conditions. We derive the turbulent flow equations too. We derive the general equation for all regimes laminar, transition and turbulent flow. The Reynolds number is also derived and the conditions for which it acts are derived and modified to fit experimental observations
This textbook is designed for undergraduate students in mechanical or civil engineering and applied sciences. Assuming a background in calculus and physics, it focuses on using mathematics to model fluid mechanics principles. The book is organized into 13 chapters and uses both SI and British gravitational units. It includes a brief description of the engineering system and a discussion of gc for illustrative purposes.
Book is designed as an introductory undergraduate fluid mechanics course for mechanical engineering, civil engineering, dam and resources water engineering, chemical and petroleum engineering students of all disciplines. The text covers all major aspects of fluid mechanics, including fundamental concepts in fluid mechanics, pressure distribution in fluids, hydrostatic forces on plane and curved surfaces, buoyancy and stability of floating body, basic concept of fluid flow, dynamics of fluid flow, applications of momentum theorem, applications of energy equation, dynamic similarity and dimensional analysis, viscous incompressible flow in pipe (laminar and turbulent) and introduction to boundary layer. The book continues to maintain a student friendly approach and fluid mechanics problem solving orientation. Presentations are limited to basic topics in those areas discipline. The purpose of the book is to present the principles and concepts of fluid mechanics in each subject with complete derivation of basic equations from initial principles as relevant to student learning. The numerous worked examples and unsolved exercise problems to provide the reader with an awareness of the general applicability of principles and concepts of fluid mechanics. Engineering students learn best when they are motivated by problems. This is particularly true when the real practical examples are working through each chapter.
Fluids in motion zyxwv Units and dimensions Description of fluids and fluid flow Types of flow Conservation of mass Energy relationships and the Bernoulli equation Momentum of a flowing fluid Stress in fluids Sign conventions for stress Stress components Volumetric flow rate and average velocity in a pipe Momentum transfer in laminar flow Non-Newtonian behaviour Turbulence and boundary layers Flow of incompressible Newtonian fluids in pipes and channels Reynolds number and flow patterns in pipes and tubes Shear stress in a pipe Friction factor and pressure drop Pressure drop in fittings and curved pipes Equivalent diameter for non-circular pipes Velocity profile for laminar Newtonian flow in a pipe Kinetic energy in laminar flow Velocity distribution for turbulent flow in a pipe ix z xi 1 1 1 4 7 9 17 27 36 43 45 46 48 55 70 70 71 71 80 84 85 86 86 V vi CONTENTS zyxwvutsr 2.9 2.10 zyxwvuts 3
Fluid Flow Problems [Working Title]
In this book we look at an alternative way of deriving the governing equations of fluid flow using conservation of energy techniques on a differential element undergoing shear stress or viscous forces as it moves along a pipe and we use the expression for friction coefficient for laminar flow to derive the equations. We also derive a friction coefficient to work for Torricelli flow. We look at laminar, and turbulent flow. We look at cases where there is a pipe on a tank or an orifice and we develop the governing equations. We then develop a universal formula or equation that works for all types of flow i.e., laminar, transition and turbulen t flow in one equation. We go ahead and demonstrate Pouiselle flow and the conditions under which it will be observed. We explain other phenomena too.
2022, April , 2022
This book describes typical issues that are taught and cover in first year class of fluid mechanics with various examples application with many visual illustrations. The focus of book is on effective learning and current state of the art. The presentation is build from ground up to facilitate familiarity with many concepts used in real life. The concepts are describe in easy and plain terms avoiding the jargon as much as possible. The real word examples are provided engaging the readers with the material. There several unique parts of the book. This is the only book contain many innovative ideas for example describes Nusselt methods (Dimensional analysis). It contain extensive description of integral methods, Reynolds Transport Theorem, Differential governing Equations. Many consider this book chapter on fluid statics as the best and most extensive possible in the world. This book contain basic material and no so basic material for fluid mechanics (undergraduate and graduate students and professorial. In many respect it contain material that is innovative and first published in this book. The new breaking ground chapter is added mass.
In this book we look at deriving the governing equations of fluid flow using conservation of energy techniques on a differential element undergoing shear stress or viscous forces as it moves along a pipe and we use the expression for friction coefficient for laminar flow to derive the equations. We also derive a friction coefficient to work for Torricelli flow. We look at laminar, and turbulent flow. We look at cases where there is a pipe on a tank or an orifice and we develop the governing equations. We then develop a universal formula or equation that works for all types of flow i.e., laminar, transition and turbulent flow in one equation. We go ahead and demonstrate Pouiselle flow and the conditions under which it will be observed. We explain other phenomena too. [email protected]
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