(48G) Pipe flow with friction losses …

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An extract from Pipe flow with friction losses solutions using HP and TI calculators, Gilberto E. Urroz, October 2005, 18 pgs.

1. Darcy-Weisbach Equation and friction factor
Function DARCY in HP calculators
The HP 48G and HP 49G series calculators provide function DARCY(ee/D,R)1 to calculate the friction factor ƒ for turbulent flows. In the HP 48G, function DARCY is available …
Equations for the friction factor
Implementing Haaland’s and Swamee-Jain equations …

2. Types of problems involving the Darcy-Weisbach equation for friction losses
Solution of sample problems using the Moody diagram
Solution using functions DARCY, ƒHA and ƒSJ instead of the Moody diagram

3. Combining the Darcy-Weisbach equation with various equations for ƒ
Darcy-Weisbach and Haaland equations
Darcy-Weisbach and Swamee-Jain equations
Solution of sample problems using equations …
DWCWQ: DWHAQ: DWSJQ:
Solution with HP calculators

4 - Numerical solution of friction problems using functions DARCY, ƒHA and ƒSJ
Solving friction loss problems in terms of flow discharge

5 – Empirical equations for single-pipe flow
The Hazen-Williams equation
The Manning’s equation
Non-rigorous head-loss equations

Comprehensive with illustrations, equations, formulas, programs, examples etc.

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ps: TI included