Noche Potosi

Noche Potosi
Iglesia San Bernardo

domingo, 21 de septiembre de 2014

SEWER DESIGN Darcy-Weisbach equation and Colebrook-White-Prandtl-Von Karman equation

"The question of friction factors in open channels was studied by a commitee of the American Society of Civil Enginners [3] which found the Colebrook-White equation to be more reliable than the Manning equation with a constant value of n. For any given channel it was found that the roughness value k (used in the Colebrook-White equation) was more likely to be constant than Manning´s n.........."

"5. Conclusion
"..... The variation of Manning´s coefficient with both depth and pipe gradient, particularly for circular small -bore pipes (i.e. less than about one meter diameter) highlights the utility of empirical Colebrook-White equation"
[1] Henderson, F.M. Open Channel Flow. New York, NY: MacMillan; 1966,90-101
[3] Report, A.S.C.E. task force on friction factors in open channels. Proc. A.S.C.E. 89, HYD2:97-143;1963.
From:  JOURNAL OF RESEARCH of the  National Bureau of Standars. Vol. 88, No 6, November - December 1963
By :     J.A. Swaffield and S. Bridge.   Brunel University, Uxbridge, Middlesex, U.K.


"........ ASCE (1963) has disapproved the Manning equation and recommend the use of the Darcy -Weisbach equation for open-channel resistance. On other hand, in detailled study Liou (1998) strongly discouraged the use of the Hazen-Willams equation."
From: Journal of Environmental Engineering . Vol 127, No. 9, september 2001 (c) ASCE, ISSN 0733-9372/01/0009-0776-078.
Design of Sewer Line
By :  Prabhata K. Swamee

Therefore,  next, Alberto Gonzales Murillo present Hydraulic Analysis using his own equations:
1. For determination of minimun slope of invert on basis Darcy - Weisbach equation and Colebrook - White- Prandtl - Von Karman equation, that involve the "Friction Factor variation for variable flow depth on sewers" - ( see this WEB site or SCRIBD as: "Pendientes Mínimas de Alacantarillado tomando en cuenta la variación del factor de fricción con la profundidad).
2. The relationship between design flow and full flow capacity.

The autor works with "real actual flow" ( for initial period of the network) to found slope for each link to get tractive tension 1 Pascal or more, and the future flow (about 30 year later) for determine the pipe full capacity.
Alberto Gonzales Murillo , Potosi, Bolivia.  Formerly  AWWA Member (1979 - 1980) .


For the other links, was adopted 1, 2 and 3 cm for invert fall at each manhole, for 1, 2 or 3 input pipes (Azevedo Netto ).

PTC (c) Product and Service Advantage . Mathcad (c) was used for mathematical analysis.
See Mathcad´s  (c) : oficial WEB site: 
 For free -trial version:

For Minimun Slope using Colebrook - White - Prandtl - Von Karman equation and Darcy - Weisbach and friction factor variation with flow depth, see:

jueves, 24 de abril de 2014

Dr. Prabhata K. Swamee, eminent scientist

 Design of water Supply Pipe Networks” John Wiley and Sons Inc., NJ, USA. (2013)

 by  P.K. Swamee - A. Sharma


Dr. Bhagu R. Chahar, Professor

Dr. Bhagu R. Chahar, Professor,  Thank you very much for twelve paper that you wrote.
Welcome to Potosi  , Bolivia at America.

Dr. Bhagu R. Chahar , Professor

Department of Civil Engineering
Hauz Khas, New Delhi – 110 016 (INDIA)

  • Visiting International Fellowship 2013, EWRI of ASCE
  • AICTE Career Award for Young Teacher – 2001.
  • DST - SERC Young Scientist award – 2003
  • Vice President, NIC, EWRI, ASCE

  1. Fellow of the Indian Society for Hydraulics (F 96/212).
  2. Fellow of the Indian Water Works Association (LF 1102).
  3. Fellow of the Indian Water Resources Society (LM 96-4832).
  4. Life Member of the Indian Society for Technical Education (LM 23010).
  5. Life Member of the Indian Association of Hydrologists (LM 1029).
  6. Life Member of the Institution of Engineers (India) (M/124219/3).
  1. Water Resources Research American Geophysical Union Journal
  2. ASCE Journal of Hydrologic Engineering.
  3. ASCE Journal of Irrigation and Drainage Engineering.
  4. Groundwater (NGWA Journal)
  5. Elsevier Journal of Hydrology.
  6. Water Management – Proceedings of the ICE, Thomas Telford
  7. Elsevier Journal of Resources, Conservation and Recycling.
  8. Iranian Journal of Science and Technology.
  9. ISH Journal  of Hydraulic Engineering (Indian Journal)
  10. Journal of  Indian Water Resources Society.
  11. Institution of Engineers (I) Journal.
    1.   Visiting Professor, SITE, Ecole nationale supérieure des Mines de Saint-Etienne, France from June 15, 2009 to July 31, 2009.
  1. IIT Kharagpur offered post of Assistant Professor in Civil Engineering in November 2003.
  2. IIT Roorkee offered post of Assistant Professor in Civil Engineering in February 2004.
  3. Expert member STA Committee for scrutinizing projects for Rural Roads under PMGSY for Rajasthan State
  4. Member Hydrology Committee for Award, Monitoring and Review Hydrological Studies of Ken-Betwa Link, NWDA, Ministry of Water Resources.

  • December 2012 to Date    Professor, Dept of Civil Engineering, Indian Institute of Technology, Delhi
  • Aug 2008 to Dec 2012    Associate Professor, Dept of Civil Engineering, Indian Institute of Technology, Delhi
  • Sept 2004 to Aug 2008    Assistant Professor, Dept of Civil Engineering, Indian Institute of Technology, Delhi.
  • Dec 2003 to Aug 2004    Visiting Faculty, Dept of Civil Engineering, Indian Institute of Technology, Delhi.
  • Feb 1992 to Dec. 2003    Asst Professor in Civil Engg, MBM Engineering College, JNV University Jodhpur.
RESERARCH  GUIDANCE : Nine (9) PhD level; 24 M.Tech. level; 27 B.Tech. level.

Indian Institute of Technology one of the 100 best world Univertities.

Visit WEB site :

THANK YOU VERY MUCH Dr. Chahar,  your work help me for teaching at University Tomas Frias, Potosi, Bolivia 


 Dr.  Ashok Sharma:     WELCOME TO POTOSI, BOLIVIA, in the Wonderful America !

Thanks you very much for send me journal´s pappers

Dr.  Ashok Sharma:  Professional Engineer with 30 years of research, teaching and industry experience in planning, design, and management of water supply, waste water and storm water systems, and in sustainability assessment, environmental planning, water quality, and river pollution abatement. Ashok is a Principal Research Engineer with CSIRO Land and Water, Australia and is also Adjunct Professor at Victoria University, Melbourne Australia. He holds a PhD in Civil Engineering and a Fellow of Institution of Engineers Australia and is also a Chartered Professional Engineer. 

 Internacional awared works :   2010 World Water Congress at MONTREAL , CANADA
  1. IWA Sustainability Award 2010 (runner-up) for research excellence in sustainable urban water management at  World Water Congress 2010 Montreal for paper on Sustainable Sewerage Servicing Options for Peri-urban Areas with Failing Septic Systems, -  Sharma A., Tjandraatmadja, G., Grant, A., Grant T. and  Pamminger, F. (2010) “Sustainable Sewerage Servicing Options for Peri-urban Areas with Failing Septic Systems” Water Science and Technology, IWA, London , 62(3), 570-585
  2008  World Water Congress at VIENNA
  1. IWA Sustainability Award 2008 (runner-up) for research excellence in sustainable urban water management at  World Water Congress 2008 Vienna for paper on Environmental and economic assessment  of urban water services for a Greenfield development                               Sharma, A., Grant, A., Grant T., Pamminger, F. and Opray L. (2009) “Environmental and economic assessment  of urban water services for a Greenfield development” Environmental Engineering Science, 26(5): 921-934
Dr. Sharma has many other works published, and the The extraordinary book  (co autor with the ilustre 
   Swamee P.K. and Sharma A.K. (2008). “Design of water Supply Pipe NetworksJohn Wiley and Sons Inc., NJ, USA.     The extraordinary book  (co autor with the ilustre Dr. PRABHATA  K. SWAMEE )
Dr Sharma is now at:

Thanks you, again ; you will improve my teaching work at University Tomas Frias, Potosí, Bolivia

miércoles, 1 de enero de 2014

Este Blog continuará su labor dedicada a los estudiantes de Ingeniería de cualquier lugar del mundo,
durante 2014 y todos los años venideros.

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martes, 26 de noviembre de 2013

Método Matricial - Wood and Charles - Linear Theory - Ejemplo

Red de distribución de agua, con las fórmulas de Darcy - Weisbach y Colebrook -White
Comparar resultados con la misma red, resuelta con el método de Cross, entrada anterior de noviembre 5, 2013. Se comprobará que por ambos métodos se obtienen los mismos resultados.
Para la solución de matrices se ha usado la función minversa (matriz inversa) de Excel y para 
hallar los valores de "f",  Mathcad 15, véase las entradas anteriores  (como utilizar
este muy buen software para Ingeniería en la solución de Colebrook - White).

Para abreviar la presentación no se han publicado varias iteraciones, también podrá notarse la simplicidad de la solución empleando Microsoft Excel para manejar la información así como resolver el sistema de ecuaciones lineales. Mathcad para la solución de "f".
Mathcad es una herramienta de primera calidad en Ingeniería Civil, pero, la solución de valores de "f" también se obtiene, como lo hacen los estudiantes de la asignatura en clases, con  Hewlet Packard pocket computer, más que una calculadora.