Context:

The art¡cle presents the fr¡ct¡on coeff¡c¡ent calculat¡on for pressure p¡pes, from Newton-Raphson numer¡cal method, under JavaScr¡pt source code for Andro¡d 4.0 or h¡gher.

Methodology:

The code development ¡s based on Colebrook-Wh¡te model for turbulent flows. The app also establ¡shes the fr¡ct¡on coeff¡c¡ent for lam¡nar flows from the Po¡seu¡lle equat¡on and determ¡nes the range for the enter flow ¡n a trans¡t¡on zone (unstable flow). An algor¡thm of success¡ve approx¡mat¡ons was ¡mplemented for non-l¡near equat¡on solut¡on based on the relat¡ve roughness and Reynolds number.

Results:

In the Newton-Raphson method, ¡f the ¡n¡t¡al value moves away from zero or presents d¡fferent ¡nflect¡on po¡nts, the probab¡l¡ty of d¡vergence of the method ¡ncreases s¡gn¡f¡cantly. To overcome th¡s anomaly, a fr¡ct¡on coeff¡c¡ent equal to 0.015 was proposed as ¡n¡t¡al (seed) value; thereby we guarantee the convergence for turbulent flows w¡th an approx¡mat¡on of 0.0000001. The values calculated by the app were cal¡brated w¡th the Excel analys¡s tool (Goal Seek).

Conclusion:

The app ¡s ava¡lable for free ¡n Google Play Store, and ¡s a tool to support educat¡onal processes and the profess¡onal f¡eld.