Mechanics of Fluids

Providing a modern approach to classical fluid mechanics, this textbook presents an accessible and rigorous introduction to the field, with a strong emphasis on both mathematical exposition and physical problems. It includes a consistent treatment of a broad range of fluid mechanics topics, including governing equations, vorticity, potential flow, compressible flow, viscous flow, instability, and turbulence. It has enhanced coverage of geometry, coordinate transformations, kinematics, thermodynamics, heat transfer, and nonlinear dynamics. To round out student understanding, a robust emphasis on theoretical fundamentals and underlying mathematical details is provided, enabling students to gain confidence and develop a solid framework for further study. Included also are 180 end-of-chapter problems, with full solutions and sample course syllabi available for instructors. With sufficient coverage for a one- or two-semester sequence, this textbook provides an ideal flexible teaching pathway for graduate students in aerospace, mechanical, chemical, and civil engineering, and applied mathematics.

提供對古典流體力學的現代方法，這本教科書以易於理解和嚴謹的方式介紹了這個領域，強調數學表達和物理問題。它包括了廣泛的流體力學主題的一致性處理，包括控制方程式、渦度、勢流、可壓縮流、黏性流、不穩定性和湍流。它增加了對幾何、座標轉換、運動學、熱力學、熱傳和非線性動力學的涵蓋。為了完善學生的理解，提供了對理論基礎和基本數學細節的強調，使學生能夠建立自信，並發展出一個堅實的學習框架。此外，還包括了180個章末問題，提供完整的解答和樣本課程大綱供教師使用。這本教科書的內容足夠覆蓋一個學期或兩個學期的課程，為航空航天、機械、化學、土木工程和應用數學的研究生提供了一個理想的靈活教學途徑。