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Graduate Fluids Lesson 04H: The Boussinesq Approximation
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Graduate Fluid Mechanics Lesson Series - Lesson 04H: The Boussinesq Approximation
In this 5.5-minute video, Professor John Cimbala discusses the Boussinesq approximation, which is a mildly compressible (nearly incompressible) flow approximation, Namely, it is an approximation of the Navier-Stokes equation in which density is constant except in the gravity term, where it is approximated as a linear function of temperature, and for which temperature changes are small.
A complete list of the videos, the annotated notes for each video, and the Equation Sheet can be found in this Excel file:
The YouTube playlist containing all the lessons in this Graduate Fluid Mechanics Lesson Series is found here:
These video lessons are intended for use by first-year graduate students taking their first graduate-level course in fluid mechanics. For example, at Penn State our first-semester course is called Foundations of Fluid Mechanics I (ME 521). A second course follows in sequence, typically in the second semester, called Foundations of Fluid Mechanics II. Both of these courses were created by Professor Cimbala. The video lessons and notes closely follow the notes that Professor Cimbala uses when he teaches the course. Except for a few potential notation issues, however, these video lessons may be useful as a free resource at other schools and for anyone wishing to learn about fluid mechanics.
Professor Cimbala has also created hundreds of short videos on various topics. You can see videos of a particular category by going to one of Dr. Cimbala's playlists, listed here in alphabetical order:
In this 5.5-minute video, Professor John Cimbala discusses the Boussinesq approximation, which is a mildly compressible (nearly incompressible) flow approximation, Namely, it is an approximation of the Navier-Stokes equation in which density is constant except in the gravity term, where it is approximated as a linear function of temperature, and for which temperature changes are small.
A complete list of the videos, the annotated notes for each video, and the Equation Sheet can be found in this Excel file:
The YouTube playlist containing all the lessons in this Graduate Fluid Mechanics Lesson Series is found here:
These video lessons are intended for use by first-year graduate students taking their first graduate-level course in fluid mechanics. For example, at Penn State our first-semester course is called Foundations of Fluid Mechanics I (ME 521). A second course follows in sequence, typically in the second semester, called Foundations of Fluid Mechanics II. Both of these courses were created by Professor Cimbala. The video lessons and notes closely follow the notes that Professor Cimbala uses when he teaches the course. Except for a few potential notation issues, however, these video lessons may be useful as a free resource at other schools and for anyone wishing to learn about fluid mechanics.
Professor Cimbala has also created hundreds of short videos on various topics. You can see videos of a particular category by going to one of Dr. Cimbala's playlists, listed here in alphabetical order:
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