Abstract
A new theory is presented to design pressurized conduits, particularly rectangular shaped conduit with triangular bottom. This theory is based on a referential rough conduit model characterized by an arbitrarily assigned relative roughness taken in the rough turbulent flow regime. Thus, the geometric elements of the chosen model are well defined. In particular, the relative height of the rough model, which is expressed by an implicit relationship, has been resolved by an appropriate limited development. The obtained relationship is used to calculate the almost exact value of the relative height of the model depending solely on the given side slope. The absolute height of the rough model is given by an explicit relationship based on measurable data in practice, such as side slope, discharge and energy slope. The required linear dimensions of the conduit are obtained by multiplying the homologues linear dimensions of the rough model by a non-dimensional correction factor which depends on the known rough model characteristics. Practical examples are presented to explain the procedure of calculation and to better understand the advocated method.
Highlights
The rough model method (RMM) states that any linear dimension L of a conduit and the linear dimension L of its rough model are related by the following equation, applicable to the whole domain of the turbulent flow: L L
The three basic equations of turbulent flow are easy to handle when they are applied to the rough model, the Colebrook-White relationship which induces a known and constant friction factor
The required linear dimensions of the conduit are obtained by multiplying the homologues linear dimensions of the rough model by a non-dimensional correction factor
Summary
206 The Open Civil Engineering Journal, 2014, Volume 8 conduit model characterized by an arbitrarily assigned relative roughness value. The method is applied to a rough model of the same shape in order to establish the equations governing its geometric and hydraulic characteristics These equations are secondly used to deduce the required linear dimensions of the current conduit by introducing a non-dimensional correction factor. The application of the MMR for designing conduits or channels does not require the introduction of the friction coefficient as defined by Colebrook-White neither Chezy’s coefficient nor Manning’s roughness coefficient which are determined with great difficulty. This is the major advantage of the method. The three basic equations of turbulent flow are very easy to handle
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