# hw2 - 16.100 Homework Assignment#2 Due:Wednesday September...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 16.100 Homework Assignment #2 Due:Wednesday, September 21 th , 9am Reading Assignment Anderson, 3 rd edition: Chapter 2, Sections 2.4-2.6, 2.10 Chapter 3, Sections 3.1-3.2, 3.5-3.16 Problem 1 (30%) Useful reading: Sections 2.10, 3.6 of Anderson The incompressible, inviscid flow equations (called the incompressible Euler equations) are: 2) (Eq. 1) (Eq. p Dt V D V −∇ = = ⋅ ∇ r r ρ a) Starting from the incompressible Euler equations, derive the following ‘Bernoulli-like’ equation: ω ρ ρ ρ r r r r × = + ∇ + ∂ ∂ V V p t V 2 2 1 where is the vorticity. The following vector calculus identity might be helpful: V r r × ∇ = ω ( ) ω r r r r r × − ∇ = ∇ ⋅ V V V V 2 2 1 b) Show that the total pressure, 2 2 1 V p r ρ + , is constant along a streamline in a steady, inviscid flow. c) Show that the total pressure is constant everywhere in a steady, inviscid, and irrotational flow....
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

hw2 - 16.100 Homework Assignment#2 Due:Wednesday September...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online