Municipal Hydraulics Lecture Notes Summary

6 Pages
Unlock Document

Civil Engineering
CIVE 4307
David Farrell Mc Govern

Municipal Hydraulics Notes General Bouyancy: Uplift force = weight of displaced fluid Newtonian Fluids: Fluids having negligible yield stress (no str when static) and a constant viscosity Uniform flow: no change in velocity with space (constant cross section) SS flow: no change in velocity with time (constant discharge) Continuity Water considered incompressible, therefore cons. of mass becomes cons. of volume P V 2 Bernoulli: E=z+ + ρg 2g ρliq waterG Forces F=M ∆v=ρQ ∆ v=PA e.g. ∑ F xP A1+1xA −2 A2xρQ3v 3x x Q¿=−ve,Q =out Reynolds Ratio of inertia to viscous force ρvD vD ℜ= = μ γ 64 Laminar: Re<2000, f = ℜ Turbulent: Re>4000, use Moody diagram Friction 1 Municipal Hydraulics Notes 2 L V D-W: hf=f D 2g r= ε Relative Roughness: D Areaof water R= D=4R Hydraulic Radius: Wetted Perimeter , for fully flowing circular conduit, v=kC R 0.6S0.54 H-W: where C: pipe characterstic, S: f/L, k: (metric:0.854, imperial:1.318), R: Hydr. Radius For pipes between 50-1850 mm, and v<3 m/s Type I Type II Type III Know: D, roughness Know: D, roughness, H f Need: Pipe size Calc Re and r Calc relative roughness Assume f Find f from Moody Guess f Solve for D using D-W Solve D-W Find v using D-W Calc Re and relative roughness Calculate Re Adjust f using Moody Adjust estimate of f using Moody Iterate Iterate Minor Losses 2 v H mk 2g L = KD Equivalent pipe length: e f Orifice, based on velocity head: Q=C Ad2g√ Cdis coeff of discharge, 0.6500 Loops: clockwise is positive 1. Simplify network by replacing pipes in parallel or series with equivalent pipes, calc r for each pipe r= 10.66L For H-W: C H 1.8D4.87 , n=1.85 2. Assume flow distribution that satisfies continuity. Apply H-C to each loop and solve for deltaQ ∑ rQ Q∣ ∣n−1 ∆Q= i i rn∣ in−1 hlrQ est∣est−1+rn∣ ∣est−1∆Q 3. Apply deltaQ to the flows and iterate until deltaQ is small 4. To get pressure, add or subtract headloss along path to desired point EGL: total energy in fluid, can’t disagr
More Less

Related notes for CIVE 4307

Log In


Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.