Essential Fluids with MATLAB and Octave - Part 2 (Application)
This books continues from Essential Fluids with MATLAB and Octave (Part 1), , which is a free, open access, eBook that can be downloaded from the download page. The reader is encouraged to acquire the book as it will be referenced for figures, equations, and examples in Part 2. The reader is also encouraged to visit the prerequisites and information about fluid mechanics found in Chapters 1, 2, and 3 as they are not included in Part 2.
Essential Fluids with MATLAB and Octave - Part 2 (Application) is about the design of fluid systems. The handling of the problems will be based on standard practice common to all undergraduate fluid mechanics textbooks. My only original contribution to this part is the inclusion of computing where possible. These will be based on MATLAB and its free GNU counterpart Octave.
The problems in Part 2 will feature design and applications based on simple parameterized models. All of these are input/output models are infused with parameters that are read off charts or interpolated from tables. Several of these charts are available as correlation equations so the information can be easily computed instead of physically being looked up. There is a robust and extensive database of tables and charts. This collection is usually included in many fluid mechanics textbooks as appendix. Here we will access them online, where available.
The database collection for this book are available online at the time of writing. I certainly wish they will be still available when you need them. They mostly rely on Wikimedia commons, national lab databases, free university databases, or free business databases. It will be unfortunately limited by my skills, search creativity and knowledge of their availability. The Chapters of this book cover
7. Dimensional Analysis
8. Viscous Flow Essentials
9. Applications In Internal Flow
10. Applications in External Flow
11. Compressible Flow
12. Numerical Methods
Description of Part 1: Essential Fluids with MATLAB and Octave - Part 1 (Theory)
This book covers the requisite theory for the basic study of fluid mechanics at low speeds. This book is unique in that it integrates engineering computation using the popular technical software MATLAB, and the free counterpart Octave. Programming is by example throughout the book. Prior knowledge of programming is not necessary. This book reviews prerequisite topics prior to teaching the subject matter. This book introduces the physics of fluid mechanics based on first principles. It develops the mathematical relations and model of fluid flow so that problems can be defined and solved.
The translation of natural laws into mathematical models includes two approaches. The integral approach is simple though limited. This approach uses assumptions and simplifications that makes it easy to apply and acquire a solution; however, that solution will lack detail and merely provide average or overall values. Thus, the integral approach is inadequate for understanding or designing complex fluid systems. On the other hand, it may provide an approximate value with limited effort. It may be able to establish bounds around the true value.
The differential approach is complex but expansive. The solution is established at every point in the flow domain, making it possible to include specific local effects and special properties of the flow. The differential model is presented in full. Its solution is beyond the scope of this text book. The solutions included solve only a very watered down model based on assumptions and abstractions.
The topics in this book are illustrated with examples that are solved by computation with graphics support as appropriate. The premise of this book is that science and mathematical concepts are best understood through graphics; therefore, software illustrates solutions through graphical programming. Students are taught and encouraged to explore solutions through graphics.