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"Although there are many texts and monographs on fluid dynamics, I do not know of any which is as comprehensive as the present book. It surveys nearly the entire field of classical fluid dynamics in an advanced, compact, and clear manner, and discusses the various conceptual and analytical models of fluid flow."--Foundations of Physics on the first editionTheoretical Fluid Dynamics functions equally well as a graduate-level text and a professional reference. Steering a middle course between the empiricism of engineering and the abstractions of pure mathematics, the author focuses on those ide

1. Introduction -- 1.1 Preamble -- 1.2 Scope of book -- 1.3 Notation and definitions -- 2. Pipe and Channel Flow -- 2.1 Introduction -- 2.2 Laminar flow theory: channel -- 2.3 Laminar flow theory: pipe -- 2.4 The Reynolds number -- 2.5 The entry length -- 2.6 Transition to turbulent flow -- 2.7 Relationship between flow rate and pressure gradient -- 3. Flow Past a Circular Cylinder -- 3.1 Introduction -- 3.2 The Reynolds number -- 3.3 Flow patterns -- 3.4 Drag -- 4. Convection in Horizontal Layers -- 4.1 The configuration -- 4.2 Onset of motion -- 4.3 Flow regimes -- 5. Equations of Motion -- 5.1 Introduction -- 5.2 Fluid particles and continuum mechanics -- 5.3 Eulerian and Langrangian co-ordinates -- 5.4 Continuity equation -- 5.5 The substantive derivative -- 5.6 The Navier—Stokes equation -- 5.7 Boundary conditions -- 5.8 Condition for incompressibility -- Appendix: Derivation of viscous term of dynamical equation -- 6. Further Basic Ideas -- 6.1 Streamlines, streamtubes, particle paths and streaklines -- 6.2 Computations for flow past a circular cylinder -- 6.3 The stream function -- 6.4 Vorticity -- 6.5 Vorticity equation -- 6.6 Circulation -- 7. Dynamical Similarity -- 7.1 Introduction -- 7.2 Condition for dynamical similarity: Reynolds number -- 7.3 Dependent quantities -- 7.4 Other governing non-dimensional parameters -- 8. Low and High Reynolds Numbers -- 8.1 Physical significance of the Reynolds number -- 8.2 Low Reynolds number -- 8.3 High Reynolds number -- 9. Some Solutions of the Viscous Flow Equations -- 9.1 Introduction -- 9.2 Poiseuille flow -- 9.3 Rotating Couette flow -- 9.4 Stokes flow past a sphere -- 9.5 Low Reynolds number flow past a cylinder -- 10. Inviscid Flow -- 10.1 Introduction -- 10.2 Kelvin circulation theorem -- 10.3 Irrotational motion -- 10.4 Bernoulli's equation -- 10.5 Drag in inviscid flow: d'Alembert's 'paradox' -- 10.6 Applications of Bernoulli's equation -- 10.7 Some definitions -- 11. Boundary Layers and Related Topics -- 11.1 Boundary layer formation -- 11.2 The boundary layer approximation -- 11.3 Zero pressure gradient solution -- 11.4 Boundary layer separation -- 11.5 Drag on bluff bodies -- 11.6 Streamlining -- 11.7 Wakes -- 11.8 Jets -- 11.9 Momentum and energy in viscous flow -- 12. Lift -- 12.1 Introduction -- 12.2 Two-dimensional aerofoils -- 12.3 Three-dimensional aerofoils -- 12.4 Spinning bodies -- 13. Thermal Flows: Basic Equations and Concepts -- 13.1 Introduction -- 13.2 Equations of convection -- 13.3 Classification of convective flows -- 13.4 Forced convection -- 13.5 Flow with concentration variations (mass transfer) -- 14. Free Convection -- 14.1 Introduction -- 14.2 The governing non-dimensional parameters -- 14.3 The adiabatic temperature gradient -- 14.4 Free convection as a heat engine -- 14.5 Convection from a heated vertical surface -- 14.6 Thermal plumes -- 14.7 Convection in fluid layers -- Appendix: The Boussinesq approximation in free convection -- 15. Flow in Rotating Fluids -- 15.1 Introduction -- 15.2 Centrifugal and Coriolis forces -- 15.3 Geostrophic flow and the Taylor—Proud man theorem -- 15.4 Taylor columns -- 15.5 Ekman layers -- 15.6 Intrinsic stability and inertial waves -- 15.7 Rossby waves -- 15.8 Convection in a rotating annulus -- 16. Stratified Flow -- 16.1 Basic concepts -- 16.2 Blocking -- 16.3 Lee waves -- 16.4 Internal waves -- 16.5 Stratification and rotation -- 17. Instability Phenomena -- 17.1 Introduction -- 17.2 Surface tension instability of a liquid column -- 17.3 Convection due to internal heat generation -- 17.4 Convection due to surface tension variations -- 17.5 Instability of rotating Couette flow -- 17.6 Shear flow instability -- 18. The Theory of Hydro Dynamic Stability -- 18.1 The nature of linear stability theory -- 18.2 Onset of Bénard convection -- 18.3 Overstability -- 18.4 Rotating Couette flow -- 18.5 Boundary layer stability -- 19. Transition to Turbulence -- 19.1 Boundary layer transition -- 19.2 Transition in jets and other free shear flows -- 19.3 Pipe flow transition -- 20. Turbulence -- 20.1 The nature of turbulent motion -- 20.2 Introduction to the statistical description of turbulent motion -- 20.3 Formulation of the statistical description -- 20.4 Turbulence equations -- 20.5 Calculation methods -- 20.6 Interpretation of correlations -- 20.7 Spectra -- 20.8 The concept of eddies -- 21. Homogeneous Isotropic Turbulence -- 21.1 Introduction -- 21.2 Space correlations and the closure problem -- 21.3 Spectra and the energy cascade -- 21.4 Dynamical processes of the energy cascade -- 22. The Structure of Turbulent Flows -- 22.1 Introduction -- 22.2 Reynolds number similarity and self-preservation -- 22.3 Intermittency and entrainment -- 22.4 The structure of a turbulent wake -- 22.5 Turbulent motion near a wall -- 22.6 Large eddies in a boundary layer -- 22.7 The Coanda effect -- 22.8 Stratified shear flows -- 22.9 Reverse transition -- 23. Experimental Methods -- 23.1 General aspects of experimental fluid dynamics -- 23.2 Velocity measurement -- 23.3 Pressure and temperature measurement -- 23.4 Flow visualization -- 24. Practical Situations -- 24.1 Introduction -- 24.2 Cloud patterns -- 24.3 Waves in the atmospheric circulation -- 24.4 Continental drift and convection in the Earth's mantle -- 24.5 Solar granulation -- 24.6 Effluent dispersal -- 24.7 Wind effects on structures -- 24.8 Boundary layer control: vortex generators -- 24.9 Fluidics -- 24.10 Undulatory swimming -- 24.11 Convection from the human body -- 24.12 The flight of a boomerang -- Notation -- Problems -- Bibliography and References.

The final publication is available at Springer via http://dx.doi.org/10.1007/s40571-021-00404-2 ; DualSPHysics is a weakly compressible smoothed particle hydrodynamics (SPH) Navier–Stokes solver initially conceived to deal with coastal engineering problems, especially those related to wave impact with coastal structures. Since the first release back in 2011, DualSPHysics has shown to be robust and accurate for simulating extreme wave events along with a continuous improvement in efficiency thanks to the exploitation of hardware such as graphics processing units for scientific computing or the coupling with wave propagating models such as SWASH and OceanWave3D. Numerous additional functionalities have also been included in the DualSPHysics package over the last few years which allow the simulation of fluid-driven objects. The use of the discrete element method has allowed the solver to simulate the interaction among different bodies (sliding rocks, for example), which provides a unique tool to analyse debris flows. In addition, the recent coupling with other solvers like Project Chrono or MoorDyn has been a milestone in the development of the solver. Project Chrono allows the simulation of articulated structures with joints, hinges, sliders and springs and MoorDyn allows simulating moored structures. Both functionalities make DualSPHysics especially suited for the simulation of offshore energy harvesting devices. Lately, the present state of maturity of the solver goes beyond single-phase simulations, allowing multi-phase simulations with gas–liquid and a combination of Newtonian and non-Newtonian models expanding further the capabilities and range of applications for the DualSPHysics solver. These advances and functionalities make DualSPHysics an advanced meshless solver with emphasis on free-surface flow modelling. ; This work was partially financed by the Ministry of Economy and Competitiveness of the Government of Spain under project "WELCOME ENE2016-75074-C2-1-R" and financed by Xunta de Galicia (Spain) under project ED431C 2017/64 ″Programa de Consolidación e Estructuración de Unidades de Investigación Competitivas (Grupos de Referencia Competitiva)" co-funded by European Regional Development Fund (ERDF). We are grateful for funding from the European Union Horizon 2020 programme under the ENERXICO Project, Grant Agreement No. 828947 and the Mexican CONACYT- SENER Hidrocarburos Grant Agreement No. B-S-69926. Dr. J. M. Domínguez acknowledges funding from Spanish government under the program "Juan de la Cierva-incorporación 2017" (IJCI-2017-32592). Dr. C. Altomare acknowledges funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No.: 792370. ; Peer Reviewed ; Postprint (author's final draft)

This work helps Canadian engineering frrms to compete internationally. It supports government departments and agencies mandated with establishing and maintaining safe waterways, harbours and coastal structures and provides a deeper understanding of hydrodynamic processes for coastal researchers. ; NRC publication: Yes