摘要

Determining the actual pressure head profiles along the submain lines with a uniform slope is very important for proper hydraulic design of water distribution systems. In practice, there are three general pressure head profiles (Type I, Type II, and Type III) along submain lines depending on different uniform line slope situations. Of all types of pressure profiles, the Type IIb profile is considered the optimal (or ideal) pressure profile which can produce the minimum pressure head difference for a given pipe length. This profile occurs when the total energy loss by friction is just balanced by the total energy gain due to uniform downslope. This paper presents a comprehensive analysis based on the energy-gradient ratio (EGR) approach to identify the optimal (or ideal) pressure profile (Type IIb), to achieve the minimal point of the relative maximum pressure variation, (H), which can be defined as the ratio of the maximum allowable pressure head difference (H-max) to the total friction drop (h(f(L))). This minimal point is regarded as 'the most efficient pressure profile' or 'ideal hydraulic design' in the existing literature. For this purpose, an illustrative figure (Figure4) was developed to compare values of the relative maximum pressure variation versus the dimensionless EGR (K-S=S-0/S-f) for all types of pressure profiles. In this figure, the present phi(H) curve versus K-S values allows the design engineer to make a decision for the best alternative for selecting the K-S value, where for a given pipe slope (S-0) the K-S value can be selected to meet the minimum pressure variation [K-S =1, (phi(H))(min) =0.36] or the range of pressure variation as close to the minimum point as possible. The present design technique may provide a useful decision support tool for achieving a good design solution among hydraulically possible alternatives with minimal pressure head difference, and results in a higher level of water application uniformity along the multi-outlet pipeline system.

  • 出版日期2015-4