Noche Potosi

Noche Potosi
Iglesia San Bernardo

martes, 11 de agosto de 2015

New extraordinary book of Prof. Dr. Prabhata K. Swamee ( Dr. B.R. Chahar, coautor )

  Prof. Dr. Prabhata K. Swamee´s  book 2015 : extraordinary, nice, modern, new and more...

 It is the cover of a very wonderful book, new, published recently : 2015. Editorial Springer (C)

The autors has wrote at


"Huge amounts of money are invested around the world in construction or up gradation
"of canals. Nearly 80–85 % of the cost of a total canal system constitutes
"transmission and the distribution canal networks. Due to the enormous costs
"involved, canal design is an area that has attracted many researchers for a long time.
"The aim of this book is to provide the reader with an understanding of the analysis
"and design aspects of canals. The book covers the topics related to the analysis
"and design of water-carrying as well as sediment-transporting canals. It covers the
"uniform flow principles and their application in the determination of normal depth... "

Prof. Dr. Swamme´s new book include new perspectives for Design of Canals using  Mathematics, Operation Research, Fluid Mechanics, modern graphical tools...

The special focus on Cost, not only hydraulics basis for get a optimal design.

As, Prof. Dr. Swamee and Dr. Chahar has wrote (page 2  - Introduction)

"1.2 Objective Function

" The optimal design of a canal consists of minimization of an objective function
"which is subjected to certain constraints. The known parameters are flow discharge,
"longitudinal bed slope of canal, and the canal surface roughness. There are various
"objective functions such as flow area, earthwork cost, lining cost, seepage loss,
"evaporation loss, and their combinations (Swamee et al. 2000a, b, c, 2001a, b,
"2002a, b; Chahar 2000; Basu 2013). Apart from costs, reliability is another
"important objective of the canal design. However, there has been no attempt in this
"As artificial channels have objective function, natural channels also have objectives.
"A natural channel is a stream in equilibrium, which is neither silting nor
"scouring over a period of time. Obviously, such a stream has developed a crosssectional
"area of flow through natural processes of deposition and scour. Using
"Lacey’s equations for stable channel geometry, and using geometric programming,
"Swamee (2000) synthesized an objective function for stable alluvial channels. On
"the other hand, in a similar manner, Swamee et al. (2008) found an objective
"function for river Brahmaputra. Chapter 2 formulates objective functions."

Circular section was included, too.

Chapter 11, also include :  "Terrain representation by Fourier Series"
 Graphical representations:

 Appendix 1,  has a review of:   Lambert´s W Function.  Appendix 2: Conformal Mapping; Schwarz-Christoffel Transformation; Schwarz-Christoffel Transformation of Semi-infinite Strip; Appendix 3: Solution of Cubic Equation.


1 Introduction
1.1 General.
1.2 Objective Function
1.3 Uniform Flow
1.4 General Principles
1.5 Minimum Area Section
1.6 Minimum Cost Canal Section .
1.7 MinimumWater Loss Section
1.8 Minimum Overall Cost Section
1.9 Canal Transitions
1.10 Transmission Canal
1.11 Canal Route Alignment
1.12 Mathematical Terms.
1.13 Scope of the Book
2 Objective Functions
2.1 Flow Area.
2.2 Lining Cost .
2.3 Earthwork Cost
2.4 AnnualWater Loss Cost .
2.4.1 Seepage Loss.
2.4.2 Evaporation Loss .
2.4.3 Annual Cost of Total Water Loss .
2.5 Unification of Costs .
2.5.1 CapitalizationMethod .
2.5.2 AnnuityMethod .
2.5.3 Cost Function .
2.6 Stable Channel Objective Function. .
3 Basic Canal Hydraulics .
3.1 Resistance Equations .
3.1.1 Viscous Flow in Channels .
3.1.2 Turbulent Flow in Channels .
3.1.3 Sediment-Transporting Canals . .
3.2 Normal Depth .
3.2.1 Viscous Flow in Rectangular Channel .
3.2.2 Turbulent Flow Channels.
3.2.3 Natural Channels .
3.3 Canal Operations .
3.3.1 Normal Sluice Gate.
3.3.2 Side Sluice Gate .
3.3.3 SideWeir .
3.4 Canal DischargeMeasurements .
3.4.1 RectangularWeir .
3.4.2 LinearWeir .
3.5 Critical Flow.
3.5.1 Critical Depth ..
3.5.2 Critical Slope and Limit Slope .
4 General Principles of Canal Design .
4.1 Constraints .
4.1.1 Safety Constraints .
4.1.2 System Constraint .
4.2 Formulation of the Problem.
4.3 Essential Parameters for Canal Design .
4.3.1 Canal Discharge .
4.3.2 Canal Lining andMaterial Selection .
4.3.3 Canal Banks and Freeboard
4.3.4 Longitudinal Slope of Canal .
4.3.5 Canal Section Shape .
4.3.6 Canal Layout .
5 Design for Minimum Flow Area .
5.1 Turbulent Flow Canals .
5.2 Viscous Flow Channels .
5.3 Sediment-Transporting Channels .
6 Minimum Cost Canal Section .
6.1 Construction Cost Minimization .
6.1.2 Minimum Earthwork Cost Section .
6.2 Generalized Equations of Wider Applicability .
7 Minimum Water Loss Canal Section .
7.1 Minimum Seepage Loss Canal Sections .
7.1.1 Channels Having Drainage Layer at Large Depth .
7.1.2 Channels Having Drainage Layer at Shallow Depth.
7.2 Inclusion of Evaporation Loss .
8 Overall Minimum Cost Canal Sections .
8.1 Analytical Considerations.
8.2 Particular Cases .
8.2.1 Minimum Cost Lined Sections.
8.2.2 Minimum Water Loss Sections .
8.3 Design Steps .
Reference .

9.1 Expansion Transitions.
9.1.1 Numerical Algorithm..
9.2 Contraction Transitions .
10 Optimal Design of Transmission Canal .
10.1 Analytical Considerations.
11 Salient Features of Canal Route Alignment .
11.1 Unit Length Costs .
11.1.1 Earthwork Cost .
11.1.2 Unit Length Canal Section Cost .
11.2 Balancing Depth Considerations .
11.3 Balancing Length Considerations .
11.4 Canal Alignment: Costs .
11.5 Terrain Representation by Fourier Series .
11.5.1 Canal Alignment Algorithm .
Appendices .
Appendix 1: Lambert’s W Function
Solutions of Equations .
Selection of Branch of W Function.
Asymptotic Limits .
Reference .
Appendix 2: Conformal Mapping .
Mapping .
Conformal Mapping.
Inverse Mapping Functions .
Velocity Hodograph .
Schwarz  -Christoffel Transformation .
Mapping Example for Seepage from a Canal .

One Real Root Case .
Three Real Roots Case .
Index .

Dr. P.K. Swamee is a distinguished Emeritus Professor of Civil Engineering at
ITM University, Gurgaon, Haryana, India. He was formerly a Professor of Civil
Engineering at the University of Roorkee (now the Indian Institute of Technology
Roorkee), India. He has over fifty years of teaching, research, and industry
experience in water resources engineering and has published numerous articles in
international journals. Dr. Swamee is a Fellow of the Indian National Academy of

The book has a lot of absolute new concepts, of course will be the main reference for DESIGN OF CANALS, and it will be a CLASSIC.

Thanks you Dr. Swamee for let me  know your work and extend it for Bolivia and South America.

Alberto Gonzales Murillo, august 11, 2015  , Potosi , Bolivia

Editor web site: