Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- List of Symbols
- 1 Introduction
- 2 Hydrostatics
- 3 Outline of Continuum Mechanics and Fluid Dynamics
- 4 Conservation and Dynamics in Fluids
- 5 Bernoulli’s Equation, Vorticity and Inviscid Flow
- 6 Mass Transfer in Fluids – Chemical and Materials Processing
- 7 Diffusion in the Solid State
- 8 Heat Transfer
- 9 Dimensional Analysis
- Index
4 - Conservation and Dynamics in Fluids
Published online by Cambridge University Press: 04 November 2025
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- List of Symbols
- 1 Introduction
- 2 Hydrostatics
- 3 Outline of Continuum Mechanics and Fluid Dynamics
- 4 Conservation and Dynamics in Fluids
- 5 Bernoulli’s Equation, Vorticity and Inviscid Flow
- 6 Mass Transfer in Fluids – Chemical and Materials Processing
- 7 Diffusion in the Solid State
- 8 Heat Transfer
- 9 Dimensional Analysis
- Index
Summary
The equations of fluid dynamics and energy balance are arrived at from the starting point of the powerful Reynolds transport theorem. After writing down the four conservation laws – mass, energy, linear and angular momentum – their consequences when inserted into the transport equation are revealed, in particular Cauchy’s equations of motion, Navier–Stokes equations and the equation of energy balance. A number of prevalent examples are given, including Stokes’s formulae and the Darcy law. The chapter concludes with the theory of the boundary layer.
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- Fundamentals of Transport Phenomena , pp. 71 - 141Publisher: Cambridge University PressPrint publication year: 2025
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