Course Description
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Fundamental concepts: Fluid as a continuum, velocity and stress fields. Fluid statics: The basic equations, hydrostatics force on a plane surface. Hydrostatic force components on a curved surface, buoyancy and stability. Differential analysis of fluid motion: Conservation of mass. Motion of a fluid element: Acceleration of a fluid particle, momentum eqn. Incompressible inviscid flow: Euler's equations, Bernoulli equation, applications. Unsteady Bernoulli equation. Irrotational flow: Velocity potential, stream function, plane flows. Dimensional analysis and similitude: Buckingham Pi theorem, applications. Flow similarity and model studies. Nondimensionalizing the basic equations. Internal incompressible viscous flow: Fully developed laminar flow. Flow in pipes and ducts: Turbulent velocity profiles, head loss. External incompressible viscous flow: Laminar boundary layer, turbulent flow. Fluid flow about immersed bodies: Drag, lift.
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Course Objectives
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1. To give the fundamental concepts of fluid as a continuum,
2. To acquire students with the solutions of problems related to various applications in hydrostatics,
3. To introduce the fundamental equations of inviscid incompressible flow,
4. To give hands-on experience of MATLAB applications in fluid mechanics,
5. To introduce the concept of dimensional analysis and its applications,
6. To acquaint students with the viscous flow and its diverse application areas.
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Course Learning Outcomes
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At the end of this course, students will have a complete understanding of the following fundamental topics in engineering:
I. Solving hydrostatics problem involving vertical, inclined, and curved walls,
II. Using the fundamental formulas of inviscid incompressible flow in various applications,
III. Using MATLAB for some basic fluid mechanics problems,
IV. Performing dimensional problems for a range of fluid mechanics problems,
V. Learning the fundamentals of similarity and non-dimensional analysis
VI. Solving pipe-flow problems with head losses,
VII. Understanding the concept mass, momentum and energy conservation.
VIII. Learning the conditions of equilibrium and motion of a fluid element
IX. Learning the basics of lifting theory and flow past immersed bodies
X. Learning the background physics and mathematics of basic potential flow theory
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Other References
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1. Kundu, P.K., Cohen, I.M. and Dowling, D.R. “Fluid Mechanics”, 5th Edition
2. Prandtl, L. and Tietjens, O.G., Fundamentals of Hydro- and Aeromechanics, Dover Publications, Inc., 1957.
3. Prandtl, L. and Tietjens, O.G., Applied Hydro- and Aeromechanics, Dover Publications, Inc., 1957.
4. Fox, R.W. and McDonald, A.T., Introduction to Fluid Mechanics, Fourth edition, John Wiley & Sons, New York, 1994.
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