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General Information
Instructor
Juan R. Cebral
Email: jcebral@gmu.edu
Phone: 703-993-4078
Prerequisites
CSI 700, CSI 780, or permission of instructor.
Description
This course covers basic and advanced fluid dynamics. Fluid dynamics is a fundamental area of physical sciences and represents a theoretical building block in the understanding of Computational Fluid Dynamics (CFD) models and techniques. The goals of this course are:
- Provide a basic understanding of the governing equations describing fluid motion.
- Analyze the dynamic levels of approximation carried out to simplify the governing equations.
- Describe some of the mathematical techniques used to obtain analytical solutions.
- Analyze several analytical solutions in order to gain insight into basic flow patterns.
Bibliography
- Kundu, "Fluid Mechanics", Academic Press, 2002.
- Batchelor, "Introduction to Fluid Dynamics", Cambridge University Press, 1967.
- Schlichting, "Boundary Layer Theory", McGraw-Hill, 1968.
- Landau & Lifshitz, "Fluid Mechanics", Pergamon Press, 1987.
Syllabus
- Continuous hypothesis
- Thermodynamics
- Cartesian Tensors
- Hydrostatics
- Kinematics
- Conservation Lays
- Dynamic Similarity
- Irrotational (Potential) Flows
- Laminar Flows
- Turbulence
- Boundary Layers
- Waves (Gravity, Acoustic, Shock and Solitary Waves)
- Dynamic Levels of Approximation
Grading
- Homework Problems
- Final Exam
Problems
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