Register to reply

Flow problem with a two diemsional water flow divider

by psuaero
Tags: diemsional, divider, flow, water
Share this thread:
psuaero
#1
Oct1-08, 10:16 AM
P: 4
Question Details:


A two-dimensional water flow divider is shown in the sketch. The flow in through opening A varies linearly from 3 to 6 m/s and is inclined with angle α=45 degrees to the opening itself. The area of the A opening is .4m2 per unit depth, that of B is .2m2 per unit depth, and that of C is .15 m2 per unit depth. the flow at B, normal to the opening, varies linearly from 3 to 5 m/s; and the flow at C, normal to the opening is approximately uniform. Find velocity at C. I'm having difficult setting up the relation needed to solve the problem.

I've attached a figure for the problem.

I would appriciate a step by step solution. This is what I was thinking:


Min=Mb out +Mc out.

what expression would I use for Min and Mb out
I'm thinking Mc out would equal V*.45m2*cos(0)

would Mb out= integral from 0 to 4 of (x/2)+3 dx and
Min= integral from 0 to7 of (3x/7)+3dx

than just sove for V correct?
Attached Thumbnails
img004.jpg  
Phys.Org News Partner Science news on Phys.org
Experts defend operational earthquake forecasting, counter critiques
EU urged to convert TV frequencies to mobile broadband
Sierra Nevada freshwater runoff could drop 26 percent by 2100

Register to reply

Related Discussions
Linear Algebra, Water Flow Problem Calculus & Beyond Homework 3
Tap water flow and water diameter at end of it (Bernoulli eqzn...) Introductory Physics Homework 4
Rate of flow - height of water problem Differential Equations 4
Water flow venturi meter problem! Heeeelp please Introductory Physics Homework 21
HELP! relationship between rate of flow of water and height of water column Introductory Physics Homework 1