A MathCAD procedure for commercial pipeline hydraulic design considering local energy losses

Using a power type equation for friction factor, this paper presents a design procedure which provides accurate solutions for three types of pipe design problems (Types A-C) taking into consideration the effect of local losses. The parameters introduced in the power type equation are related to the type and size of commercial pipes. Thus, several dimensionless physical numbers, obtained by suitably combining the variables relevant for the solution of Type B and Type C problems, are also introduced. For solution of the general case of a Type B problem (sloping pipe with pumping power), a user-friendly MathCAD procedure, which produces a consistent framework for analyzing and solving common piping-system applications problem, is also developed. In order to evaluate the accuracy of the proposed procedure, several design examples are analyzed for three types of commercial pipes and a wide range of uniform pipe slope, and the results are shown as design curves. These curves have practical importance, because they permit to quickly determine the values of required variables for a given pipe slope. The results of the proposed method are compared with those obtained from the methods existing in the professional practice.

[1]  Gürol Yıldırım,et al.  An assessment of hydraulic design of trickle laterals considering effect of minor losses , 2007 .

[2]  Gürol Yıldırım.  Analytical Relationships for Designing Multiple Outlets Pipelines , 2007 .

[3]  Salah Kouchakzadeh,et al.  Discussion of “Turbulent Flow Friction Factor Calculation Using a Mathematically Exact Alternative to the Colebrook–White Equation” by Jagadeesh R. Sonnad and Chetan T. Goudar , 2008 .

[4]  Gürol Yıldırım.  Simplified procedure for hydraulic design of small-diameter plastic pipes† , 2009 .

[5]  Thomas K. Jewell.  Teaching hydraulic design using equation solvers , 2001 .

[6]  Gürol Yildirim,et al.  Determining turbulent flow friction coefficient using adaptive neuro-fuzzy computing technique , 2009, Adv. Eng. Softw..

[7]  Joseph B. Franzini,et al.  Fluid Mechanics with Engineering Applications. 6th Ed. By R. L.DAUGHERTY and J. B. FRANZINI. McGraw-Hill. 1965. 574 pp. $9.95 or 80s. Fluid Dynamics. By J. W. DAILY and D. R. F. HARLEMAN. Addison Wesley. 1966. 454 pp. $12.50 or 94s. , 1967, Journal of Fluid Mechanics.

[8]  Gürol Yildirim,et al.  Computer-based analysis of explicit approximations to the implicit Colebrook-White equation in turbulent flow friction factor calculation , 2009, Adv. Eng. Softw..

[9]  Gürol Yıldırım.  Hydraulic Analysis and Direct Design of Multiple Outlets Pipelines Laid on Flat and Sloping Lands , 2006 .

[10]  Prabhata K. Swamee,et al.  Explicit Equations for Pipe-Flow Problems , 1976 .

[11]  Gürol Yıldırım.  Determining Operating Inlet Pressure Head Incorporating Uniformity Parameters for Multioutlet Plastic Pipelines , 2008 .

[12]  John S. Gulliver,et al.  What do students need in hydraulic design projects , 2001 .

[13]  Chetan T. Goudar,et al.  Turbulent Flow Friction Factor Calculation Using a Mathematically Exact Alternative to the Colebrook–White Equation , 2006 .

[14]  V. Singh,et al.  Two Methods for the Computation of Commercial Pipe Friction Factors , 2005 .

[15]  N. Sylvester,et al.  Explicit approximations to the solution of Colebrook's friction factor equation , 1982 .

[16]  S. Haaland.  Simple and Explicit Formulas for the Friction Factor in Turbulent Pipe Flow , 1983 .

[17]  Chetan T. Goudar,et al.  Constraints for Using Lambert W Function-Based Explicit Colebrook–White Equation , 2004 .

[18]  B. K. Hodge,et al.  Piping‐system solutions using Mathcad , 2002, Comput. Appl. Eng. Educ..

[19]  C. F. Colebrook,et al.  Experiments with Fluid Friction in Roughened Pipes , 1937 .

[20]  D. H. Yoo.  Explicit design of commercial pipes with no secondary loss. , 2001 .

[21]  Roland W. Jeppson,et al.  Hydraulics of Pipeline Systems , 1999 .

[22]  Gürol Yildirim,et al.  Neuro-fuzzy approach in estimating Hazen-Williams friction coefficient for small-diameter polyethylene pipes , 2009, Adv. Eng. Softw..

[23]  Byron S. Gottfried.  Spreadsheet Tools for Engineers: Excel 2000 Version , 1999 .

[24]  Grant Keady.  Colebrook-White Formula for Pipe Flows , 1998 .

[25]  C F Colebrook,et al.  TURBULENT FLOW IN PIPES, WITH PARTICULAR REFERENCE TO THE TRANSITION REGION BETWEEN THE SMOOTH AND ROUGH PIPE LAWS. , 1939 .

[26]  Wei Chen,et al.  Water Distribution Network Analysis Using Excel , 2004 .

[27]  Gürol Yıldırım,et al.  Discussion of “Turbulent Flow Friction Factor Calculation Using a Mathematically Exact Alternative to the Colebrook–White Equation” by Jagadeesh R. Sonnad and Chetan T. Goudar , 2008 .