# ProblemSet2 - MECH 411 Introduction to Fluid Mechanics American University of Beirut Fall 2004-2005 Handout PS2 Selected Problems from Problem Set

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: MECH 411 Introduction to Fluid Mechanics October 30, 2004 American University of Beirut, Fall 2004-2005 Handout # PS2 Selected Problems from Problem Set 2 Problem 2.97 B A R θ x y y = R sin θ d F=- p r dS ˆ r = r = r = r = cos θ x + sin θ y ˆ ˆ ˆ dS = R d θ r ˆ θ B A R θ x y y = R sin θ d F=- p r dS ˆ d F=- p r dS ˆ r = r = r = r = cos θ x + sin θ y ˆ ˆ ˆ dS = R d θ r ˆ r ˆ θ The gauge pressure at y is p g ( y ) = p ( y ) − p a = ρg ( H − y ) = ρg ( H − R sin θ ) (1) The unit outward normal vector is ˆ n = ˆ r = cos θ ˆ x + sin θ ˆ y (2) The force due to pressure distribution is F = integraldisplay d F = integraldisplay S − p g ( y ) ˆ n d S = integraldisplay d F = − WR integraldisplay π π/ 4 ρg ( H − R sin θ ) (cos θ ˆ x + sin θ ˆ y ) dθ = − ρgWR parenleftBigg R 4 − H √ 2 parenrightBigg ˆ x + ρgWR parenleftBigg R parenleftbigg 3 π 8 + 1 4 parenrightbigg − H parenleftBigg 1 + 1 √ 2 parenrightBiggparenrightBigg ˆ y (3) Noting that the position vector on the gate is...
View Full Document

## This note was uploaded on 10/28/2009 for the course MECH 310 taught by Professor I.l during the Spring '08 term at American University of Beirut.

### Page1 / 5

ProblemSet2 - MECH 411 Introduction to Fluid Mechanics American University of Beirut Fall 2004-2005 Handout PS2 Selected Problems from Problem Set

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

View Full Document
Ask a homework question - tutors are online