Fluid Mechanics

Notebooks on various topics in fluid mechanics

17-34 Water wave equations 09-25-16

The water wave equation is derived and specialized for shallow water. The notebook illustrates how a set of differential equations can be manipulated in a dimensionless form and perturbed about an equilibrium state. The perturbed equations are then further manipulated until a partial differential equation for water waves is obtained.

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17-35 Water wave dispersion - 09-25-16

The dispersive properties of water waves are derived and analyzed for water of constant depth.

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New Addition 04-22-2018
I add 12 notebooks related to exercises in Chapter 13, Foundations of Fluid Mechanics, of Modern Classical Mechanics, Kip S. Thorne and Roger D. Blandford. This is a wonderful new physics book that will become a classic. I heartily recommend that all physicists purchase this book. In particular, I focus on fluid mechanics topics that I did not cover when I was a working physicist.

TB 13.4 Polytropes 01-01-18

I solve an exercise for a stellar model involving a polytropic equation of state.

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TB 13.6 Binary Stars 01-10-18

This exercise involves calculating the shape of tidally locked binary stars.

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TB 13.8 Rotating Star 01-20-18

This exercise involves calculating the shape of a rotating star.

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TB 13.9 Crocco's Theorem 01-19-18

This exercise involves Crocco’s theorem and entropy production in a fluid with vorticity.

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TB 13.10 Cavitation 01-24-18

This exercise involves cavitation near a hydrofoil.

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TB 13.11 Bubble Collapse 01-31-18

This exercise involves the dynamics of bubble collapse.

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TB 13.12 Joule-Kelvin 02-01-18

This exercise involves Joule-Kelvin cooling.

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TB 13-15 Kinematic Vorticity 03-05-18

This exercise involves the kinematical interpretation of vorticity.

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TB 13-16 Mean Free Path 03-12-18

This exercise involves calculation of the mean-free-path of molecules in air.

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TB 13-17 Entropy 03-24-18

This exercise involves derivation of expressions for the entropy production in a fluid.

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TB 13-18 Flow between plates 3-30-18

This exercise involves calculation of the flow profiles for flow between plates and flow in a pipe.

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TB 13-19 Pulsatile Blood Flow 4-3-18

This exercise involves analysis of pulsatile blood flow in an artery.

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New Addition 07-12-2018

I add a notebook detailing steps in the analysis of Kelvin ship waves, a classic problem that is a long time favorite of mine.

Kelvin Ship Waves 07-12-18

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