FM Formula sheet Finals to solve different numericals of fluid mechan PDF

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it will be helpful for the student to solve different problems during fluid mechanics numerical...

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Formula Sheet

0.1 0.09

Laminar Transitional Turbulent flow flow flow

0.08

898 FLUID MECHANICS

Fully rough turbulent flow ( f levels off )

0.07 0.06

0.03

Relative roughness, e/D

0.04

e 64/R

Darcy friction factor, f

,f= flow inar Lam

0.05

0.025 0.02

Roughness, e Material

0.015

0.01 0.009

Glass, plastic Concrete Wood stave Rubber, smoothed Copper or brass tubing Cast iron Galvanized iron Wrought iron Stainless steel Commercial steel

0.008

103

ft

mm

0 0.003–0.03 0.0016 0.000033 0.000005 0.00085 0.0005 0.00015 0.000007 0.00015

0 0.9–9 0.5 0.01 0.0015 0.26 0.15 0.046 0.002 0.045

Smooth pipes e/D = 0 e/D = 0.000005 e/D = 0.000001

2(103) 3 4 5 6 8 104 2(104) 3 4 5 6 8 105 2(105) 3 4 5 6 8 106 2(106) 3 4 5 6 8 107 2(107) 3 4 5 6 8 108

Reynolds number, Re FIGURE A–12 L V2 The Moody chart for the friction factor for fully developed flow in circular pipes for use in the head loss relationh L ! f . Friction factors in the 2g D e/D 1 2.51 ! "2 log10 a b. turbulent flow are evaluated from the Colebrook equation $ 3.7 Re 1f 1f...