Tables for the hydraulic design of pipes, sewers and channels: 8th edition (2 volume set)

For this new edition the system of increments of gradient have been modified to reduce the need for interpolation, now matching that of (Tables D). Continued from the Seventh edition are the results of new work on the assessment of roughness size in commercial pipes manufactured from materials currently utilised to give a smooth finish and on the assessment of additional losses at bends in such pipes. Volume 2 uses a newer, alternative, route to support the application of the unit size method. For this route, Manning equation tables (Tables D) act also as a carrier for obtaining solution of the Colebrook-White Equation when combined with (Tables E). For Volume II of the Seventh edition, the Manning equation tables were redone reducing the increment in gradient between entries to ease interpolation. This is continued here. As before the coverage of discharges continues into the order of scale of continental rivers. In Volume II a wide range of conduit and channel shapes is covered by tables of properties based on unit size, with key examples of these tables also included in Volume I. This gives illustration of solutions supported by the established form of Colebrook-White tables, as is possible for most conduits and smaller channels when the two volumes are used in conjunction. In both volumes the tables of unit properties provide aid for both gradually varied and rapidly varied flow problems. Also, there is more detailed coverage of the possible effects of variation in water temperature within the normal water resources and drainage range of temperatures. Both volumes include a revised treatment of part-full flow in circular pipes and of the assessment of the effect of conduit shape on free-surface flow in general. Contents: Introductory survey, Review of hydraulic resistance, Application of the Colebrook-White equation in design and tabular displays of solutions. Volume 1: Circular section pipelines and sewers flowing full; Non-circular cross-sections of flow-general principles; Part-full circular pipes-proportional flow approach; Non-circular cross-sections of flow-general approach; Illustrations of the basic procedures; Obtaining adjusted solutions as appropriate; Configuration modified measures of surface resistance; Other sources of resistance; Checks on mean velocity; Reynolds number and Froude number; Viscosities other than that of water at 15° C; critical depth and critical discharge, gradually varied flow of prismatic channels, rapidly varied flow, Review, References, Nomenclature, Appendices, Tables of Colebrook- White solutions (Tables A1-A58), Tables of proportioning exponents (Tables B), Tables of properties of unit sections (Tables C), Annexure. Volume II: A condensed tabular system for Colebrook-White Solutions; Tables of properties of unit sections (Tables C); Circular section pipelines and sewers flowing full, Non-circular cross-sections of flow-General principles, Partfull circular pipes pipes-proportional flow approach, Non-circular cross-sections of flow-general approach, illustration of basic procedures, basic solutions for trapezoidal open channel, Obtaining adjusted solutions for the preceding examples as appropriate, configuration modified measures of surface resistance, Basic Manning-Williamson solutions, other sources of resistance, Checks on mean velocity, Reynolds number and Froude number; Viscosities other than that of water at 15° C, Critical depth and critical discharge; use of tables with data from natural channels; gradually varied flow in prismatic channels, Rapidly varied flow, Review, References, Nomenclature, Appendices, Tables of the properties of unit sections, with separate proportional discharge table for circular pipes only (Tables C), Values of mV and m Q deriving from the Manning equation (Tables D) and Values of mc deriving from Colebrook-White equation in conjunction with the Manning equation, and the Velocity ration V r(0.50) for half-fill flows in circular pipes (Tables E), Annexure

Tables for the hydraulic design of pipes, sewers and channels: 8th edition (volume 2)

This book is the second of two self-supporting volumes that make up the 8th edition of Tables for the Hydraulic Design of Pipes, Sewers and Channels. It provides an alternative solution system for the Colebrook-White equation. The tables in this volume are arranged as follows: Tables C give geometric and hydraulic properties for one hundred and twenty- two characteristic cross sections on a unit size basis. The tables cover pipes and culverts used in drainage and sewerage, irrigation canals and natural watercourses, and the properties are listed for small increments of proportional or relative depths. This latest edition features a more comprehensive coverage of elliptical pipes in horizontal and vertical orientations. There is a revised approach to the treatment of flow resistance in all free-surface circumstances, based on experimental findings. Tables D provide a basic range of solutions for mean velocity V and discharge Q against wide ranges of gradient and against diameter and equivalent diameter sequences covering between 20 mm and 60 mm. These solutions are in terms of mV and mQ, with m as one hundred times the manning coefficient n. Tables E gives values of m to apply to Tables D for solutions of the Colebrook-White equation over the full range of gradients and diameters covered in Tables D, and for a wide range of incrementally varying roughness sizes, this for water at 15° C. A tabular Annexure to Tables E gives expanded treatment for the effect of temperature variations from 15° C within the normal range for water resources and drainage, i.e. 0° C-35° C. A further tabular Annexure gives values of m to apply to Tables D for solutions of the Hazen-Williams formula over the full range of gradients in Tables D and an appropriate range of diameters. Either Colebrook-White, or Manning or Hazen-Williams solutions are made available from Tables D. Also included is a comprehensive list of adjustment factors for discharges for non-tabulated standard diameters, including standard sizes in imperial units. Supporting material is provided, such as expanded explanations of the significance and use of the tables. In addition, there are assessments for fluids with viscosities significantly different from that of water at 15° C. Treatments for uniform, gradually varied and rapidly varied conditions in the crosssections are covered in Tables C. Also included is appropriate material on typical roughness sizes and on additional losses. Format: A4 hardbound, 326 page

Tables for the hydraulic design of pipes, sewers and channels: 8th edition (Volume 1)

This book is the first of two self-supporting volumes that make up the 8th edition of Tables for the Hydraulic Design of Pipes, Sewers and Channels. It presents Tables A to provide a comprehensive range of solutions of the Colebrook-White equation, covering standard diameters from 20 mm to 4000 mm plus 4500 mm. These tables are in the format established in previous editions, with sequences of tables for incrementally varying roughness sizes. A new setting adopts 50 gradient increments per order of magnitude change, upgrading from the 35 increment system of previous editions. The tabulated diameters include: All standard diameters for UK concrete drainage pipes; Many other diameters now standard for newer pipe materials as used in drainage and water supply; All standard diameters proposed for European Standards for drainage and water supply. Also included is a comprehensive list of adjustment factors for discharges, for non-tabulated standard diameters including standard sizes in imperial units. There is comprehensive treatment of the effect of temperature variations from 15° C within the normal range for water resources and drainage, ie 0° C-35° C. Other features include: Tables B for accurate interpolation between table points of Tables A if required; Assessments for fluids with viscosities that significantly differ from that of Water at 15° C; A comprehensively revised treatment for uniform flows in part-full pipes, in egg-shapes and in rectangular open channels; including treatment of gradually varied and rapidly varied conditions of flow; Expanded treatment of typical roughness sizes, following from experiments conducted at HR Wallingford, and treatment of additional losses at bends and other appurtenances. Format: A4 hardbound, 414 pages

Accuracy/speed analysis of pipe friction factor correlations

The Colebrook [1] equation is considered the standard for the calculation of friction factor for turbulent flow in commercial pipes, but it is implicit, and therefore it must be computed by iterative methods. Although such iterative computation quickly converges, the computational time in large pipe system simulations can be reduced using an accurate explicit correlation. A review of the up to date literature identified 30 different explicit correlations. In order to determine which correlation is the best alternative to Colebrook’s, both accuracy and computational burden were compared. The accuracy of each explicit correlation was compared against Colebrook’s correlation using the mean and maximum relative errors and the coefficient of determination. Also, the computational time of each equation was measured using the tic and toc functions in GNU Octave software. It was found that the iterative computation of the Colebrook equation demands about 2.6 times the computational time of the slowest explicit correlation. The correlations with the best balance between accuracy and computational burden are, in decreasing order of accuracy and increasing order of speed, correlations by Serghides [13] (Eqs. (17), (18), (19), and (20)), by Shacham [8] (Eqs. (10) and (11)), by Brkić and Praks [33] (Eqs. (53), (54), (55), and (56)), and by Fang et al. [19] (Eq. (28)).info:eu-repo/semantics/publishedVersio