黏性流體力學

Course Description (Prospects on Industrial Applications): This course delves into the advanced principles of fluid dynamics, with a focus on fluid resistance and the progression of fluid motion states, including wakes, boundary layers, instability, transition, and turbulent shear flows as characterized by increasing Reynolds numbers. The course begins with an overview of continuum mechanics, kinematics, and the role of viscous forces in fluid motion. Building on this foundation, the Navier-Stokes equations are derived and explored, with a focus on analytical solutions, including similarity solutions for incompressible and compressible flows, as well as the dynamics of vorticity and rotational flow. Special emphasis is placed on boundary layers and turbulent flows due to their critical significance in mechanical, aerospace, semiconductor, and renewable energy applications. The course also examines the effects of flow instability and heat transfer on boundary layer development in depth. If time permits, advanced topics such as microgravity fluid dynamics, micro/nano-fluidics, and emerging trends in the field will be covered, offering insights into cutting-edge developments in fluid dynamics. Objective: This objective emphasizes the importance of understanding momentum transport and viscous fluid flow in various engineering applications. It aims to provide students with a comprehensive understanding of momentum transport mechanisms in fluids and equip them with the tools necessary to calculate flow resistance across diverse flow regimes. Additionally, with the rapid advancement of high-performance equipment, the curriculum addresses the evolving needs of engineers in fields such as mechanical, aerospace, semiconductor, and renewable energy, where advanced fluid processing knowledge is increasingly essential. By covering topics directly applicable to everyday mechanisms, the course underscores the practical significance of viscous fluid dynamics. Course Outline: Lecture I :Continuum Mechanics, Tensorial Methods and Index Notation Lecture II :Fundamental Laws of Fluid Motions Lecture III :Dimensional and Non-dimensional Analyses Lecture IV :Newtonian Fluids and the Navier-Stokes Equations Lecture V :Incompressible flow Lecture VI :Compressible Flow Lecture VII:Solutions of the Navier-Stokes Equations Lecture VIII:Vorticity and Vortex Dynamics Lecture IX :Rotational and Irrotational Flows Lecture X :Turbulent Flows Lecture XI :Boundary Layers Lecture XII :Thermo-Flow Physics Lecture XIII:Lubrication Approximation Lecture XIV:Surface Tension Effects Lecture XV:Wing Theory Lecture XVI:Microgravity and Microflow Introduction

Fluid Mechanics, Calculus, Engineering Mathematics/Differential Equations

Scholastic Misconduct: Academic honesty is fundamental to the activities and principles of a university. All members of the academic community must be confident that each person's work has been responsibly and honorably acquired, developed, and presented. Any effort to gain an advantage not given to all students is dishonest whether or not the effort is successful. The academic community regards academic dishonesty as an extremely serious matter, with serious consequences that range from probation to expulsion. When in doubt about plagiarism, paraphrasing, quoting, or collaboration, consult the course instructor.

20 % Homework 20 % Midterm Exam 20 % Final Exam 40 % Project(s) (report and an oral presentation)

References: 1. Ronald L. Panton, "Incompressible Flow" 2. Frank M. White, “Viscous Fluid Flow” 3. D.J. Tritton, "Physical Fluid Dynamics" 4. J. Lighthill, "An Informal Introduction to Fluid Mechanics" 5. A. Weisberg, I. Kevrekidis & A.J. Smits, "Delaying transition in Taylor-Couette flow with axial motion of the inner cylinder," Journal of Fluid Mechanics, Vol. 348, pp. 141-151, 1997. 6. F. Marques, J. M. Lopez, "Taylor–Couette flow with axial oscillations of the inner cylinder: Floquet analysis of the basic flow," Journal of Fluid Mechanics, Vol. 348, pp. 153-175, 1997. 7. R. E. Kelly and H.-C. Hu, "The Onset of Rayleigh-Benard Convection in Non-Planar Oscillatory Flows," Journal of Fluid Mechanics, Vol. 249, pp. 373-390, 1993. 8. H.-C. Hu and R. E. Kelly, “Stabilization of Longitudinal Vortex Instabilities by Means of Transverse Flow Oscillations,” Physics of Fluids, Vol. 9, pp. 648-654, 1997. 9. H.-C. Hu and R. E. Kelly, "The Effect of a Time-Periodic Axial Shear Flow upon the Onset of Taylor Vortices," Physical Review E, Vol. 51, pp. 3242-3251, 1995. 10. Philip Hall, "Finite-Amplitude Convection in the Presence of an Unsteady Shear Flow," Journal of Fluid Mechanics, Vol. 287, pp. 225-249, 1995.

地點

EE206

時間

By appointment.