Design and modelation of piping systems by means of use friction factor in the transition turbulent zone

Design and modelation of piping systems by means of use friction factor in the transition turbulent zone

Yanán C. Medina Oscar M.C. Fonticiella  Osvaldo F.G. Morales 

Center for Energy Studies and Environmental Technologies, Universidad Central de las Villas, Santa

Corresponding Author Email: 
ycamaraza1980@yahoo.com
Page: 
162-167
|
DOI: 
10.18280/mmep.040404
Received: 
|
Accepted: 
|
Published: 
31 December 2017
| Citation

OPEN ACCESS

Abstract: 

In this paper a new model is presented for design and modelation of piping systems. This work results from recent investigations on pipes friction factor. It provides an empirical solution for the solution of the three basic problems found in the design and evaluation of pipe systems, which in conventional cases require tedious iterative trial and error processes. The proposed solutions are valid in the same interval as the traditional methods used, and in all cases the average error computed never exceeds 2% with respect to traditional iterative methods. The research was done with a regression analysis between kinematic viscosity, relative roughness, flow rate, friction factor, and others factor, using experimental data reported by different authors, establishing comparison with the Swamee-Jain solution for this problems types concluding that between new model and the most universally used there are not signified differences without is lightly better.

Keywords: 

Explicit Equation, Darcy Friction Factor, Flow in Pipes, Pipe Diameter

1. Introduction
2. Materials and Methods
3. Proposed Explicit Equations
4. Conclusions
5. Acknowledgment
  References

[1] Giustolisi O., Berardi L., Walski T.M. (2011). Some explicit formulations of Colebrook–White friction factor considering accuracy vs. computational speed, Journal of Hydroinformatics, Vol. 13, No. 3, pp. 401-418.

[2] Bombardelli F., Garcia M. (2003). Hydraulic design of large-diameter pipes, J.Hydraul.Eng., Vol. 129, No. 11, pp. 839-846.

[3] Brkić D. (2011a). New explicit correlations for turbulent flow friction factor, Nucl.Eng.Des., Vol. 241, No. 9, pp. 4055-4059.

[4] Brkić D. (2011b). Review of explicit approximations to the Colebrook relation for flow friction, Journal of Petroleum Science and Engineering, Vol. 77, No. 1, pp. 34–48.

[5] Clamond D. (2009). Efficient resolution of the Colebrook equation, Ind Eng Chem Res, Vol. 48, No. 7, pp. 3665-3671.

[6] Camaraza Y. el at., (2010) , Ecuación explícita para el cálculo de factores de fricción en la zona de transición del régimen turbulento, Tecnología Química, Vol. 30, No. 1, pp. 76-83.

[7] Colebrook C.F. (1939). Turbulent flow in Pipes, with reference to the transition region between the smooth and rough pipe laws, J. Inst. Civil Eng, Vol. 11, No. 4, pp. 133-156.

[8] Danish M., Kumar S., Kumar S. (2011). Approximate explicit analytical expressions of friction factor for flow of Bingham fluids in smooth pipes using Adomian decomposition method, Communications in Nonlinear Science and Numerical Simulation, Vol. 16, No. 1, pp. 239-251.

[9] Diniz V.E. M.G., Souza P.A. (2009). Four explicit formulae for friction factor calculation in pipe flow, Transactions on Ecology and the Environment, Vol. 125, pp. 369-380.

[10] Fang X., Xu Y., Zhou Z. (2011). New correlations of single-phase friction factor for turbulent pipe flow and evaluation of existing single-phase friction factor correlations, Nucl.Eng.Des, Vol. 241, No. 3, pp. 897-902.

[11] Barr D.I.H. (1977). Discussion on accurate explicit equations for friction factor, J. Hydraul. Div. Am. Soc. Civ. Eng., Vol. 103, No. 3, pp. 334-337.

[12] Gulyani B.B. (2001). Approximating equations for pipe sizing, Chemical Engineering, Vol. 108, No. 2, pp. 105-108.

[13] Imbrahim C. (2005). Simplified equations calculate head losses in comercial pipes, The Journal of American Science, Vol. 1, No. 1, pp. 1-2.

[14] Haaland S.E. (1983). Simple and explicit formulas for the friction factor in turbulent pipe flow, J.Fluids Eng., Vol. 105, No. 1, pp. 89-90.

[15] Jain K. (1976). Accurate explicit equation for friction factor, Journal of Hydraulics Division, ASCE, Vol. 102, pp. 674-677.

[16] Li P., Seem J.E., Li Y. (2011). A new explicit Equation for accurate friction factor calculation of smooth pipes, Int.J.Refrig., Vol. 34, No. 6, pp. 1535-1541.

[17] Romeo E., Royo C., Monzón A. (2002). Improved explicit equations for estimation of the friction factor in rough and smooth pipes., Chem.Eng.J., Vol. 86, No. 3, pp. 369-374.

[18] Sonnad J., Goudar C. (2006). Turbulent flow friction factor calculation using a mathematically exact alternative to the colebrook–White equation., J.Hydraul.Eng., Vol. 132, No. 8, pp. 863-867.

[19] Swamee P.K., Jain A.K. (1976). Explicit equations for pipe flow problems, J.Hydraul.Eng. ASCE, Vol. 102, No. 5, pp. 657-664.

[20] Swamee P.K., Rathie P.N. (2007). Exact equations for pipe-flow problems, Journal of Hydraulic Research, Vol. 45, No. 1, pp. 131-134.