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Lectures - Solutions to Wave Equation Use an arbitrary...

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1 Solutions to Wave Equation Use an arbitrary function f(z) Pressure-Velocity Coupling Waves on top of a steady flow? Only for inviscid flow? What about boundary layers? Take Home Message Wave Speed Pressure-Velocity Coupling p o = ρ c u o Steady + wave flow
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2 Applications of Pressure-Velocity Waves Hypertension – hardening and narrowing of arterial space – Initial contraction – Chronic wall hypertrophy Hypertensive Stress only in arterial side of vessel network Atherosclerosis (“sclerosis”: to harden) Narrowing of Central Artery Lumen – Deposition of fat – Mesenchymal stem cells (MSCs) invade fat deposits and calcify tissue (harden) – Proliferation of SMCs – Fractures Occurs at bifurcations and disturbed flow
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