02-19-2019, 10:01 PM
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.
BEST!
SlideRule
ps: TI included
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.
BEST!
SlideRule
ps: TI included