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Novel flat-bottom catenary open channel and solving method of hydraulic optimal section thereof

An optimal cross-section and catenary technology, applied in data processing applications, instruments, calculations, etc., can solve problems such as increased construction difficulty, increased construction cost, and no flat-bottomed space to stand

Active Publication Date: 2019-07-12
UNIV OF JINAN
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  • Application Information

AI Technical Summary

Problems solved by technology

But like other curved sections, it has the following disadvantages: (1) The known knowledge is that because the bottom of the curved section is a curve and the bottom width is 0, compaction equipment such as road rollers cannot compact the foundation, and the bottom is not suitable for compaction. The bottom of the section is prone to subsidence, voids, etc., which may easily cause damage to the channel, resulting in leakage and affecting the service life; (2) Due to the constraints of the curved section function, the bottom width cannot be adjusted, so the section width of the channel cannot be adjusted flexibly. On the one hand, it increases the difficulty of design, on the other hand, it makes it difficult for the curved section to be suitable for large-scale water delivery channels, nor can it be applied to wide and shallow channels (large and medium-sized channels are generally wide and shallow channels), so the design and construction are not flexible (3) the catenary-shaped section of the prior art can not often adopt different materials (in order to reduce construction cost in the project, the bottom often adopts cheap materials to reduce construction cost) ); (4) Since the construction machinery cannot enter the channel for construction, it increases the difficulty of construction and also increases the construction cost; (5) Since the bottom width of the purely curved section is 0, all construction machinery cannot enter the channel for maintenance after completion. There is no flat space for personnel to stand during maintenance, which increases the difficulty of maintenance
Research shows that the width-to-depth ratio of the trapezoidal section is (where, z is the slope coefficient), the ratio of the water surface width of the catenary section to the shape coefficient However, there has not been any study on the optimal cross-section of flat-bottomed catenary channels

Method used

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  • Novel flat-bottom catenary open channel and solving method of hydraulic optimal section thereof

Examples

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example 1

[0321] Example 1: Design an economical and applicable water delivery channel in a water-scarce area in a northern arid area. Design flow 50m 3 / s, bottom slope 1 / 18000, roughness 0.014, slope coefficient z=1.5. According to general channel design principles and construction requirements, the water depth shall not exceed 3m. If a trapezoidal channel is used, due to the stress concentration point between the flat bottom and the slope, it is easy to generate cracks, which will cause leakage and damage to the channel. In addition, the ability to resist frost heave damage is also poor. Therefore, it is easy to adopt the channel section form without stress concentration point. If the traditional catenary section or parabolic section is used, it must be narrow and deep due to the constraints of the curve function, and the water depth exceeds 3m, which is not suitable. Therefore, it is most appropriate to use a flat-bottomed catenary section.

[0322] The water depth is 3.0m. Acc...

example 2

[0323] Example 2: A catenary open channel with flat bottom, i=1 / 11000, Q=17m 3 / s, n=0.014, a=2.1, b=2.5m, find the normal water depth. The present invention adopts Etkin iterative method and quasi-Newton method respectively earlier, has compiled computer program solution formula (10), obtains normal water depth h L = 2.679569365m. Take it as a theoretical reference value, and then solve it with the iterative method proposed by the present invention.

[0324] Set different initial values ​​(h 0 =0.01, 0.1, 1.0, 10, 100), using the deduced explicit Newton iterative method (formula (62)) and simple iterative method (formula (12)) for calculation, the iterative process is as follows Figure 4 shown. The results show that when the initial value of the normal water depth is 0.01, 0.1, 1.0, 10, 100m, the Newton iteration algorithm uses 8, 7, 6, 4, 4, 6 times, while the simple iteration method uses 3, 3, 4, 4, 3, 3 times to make the absolute error less than 0.001m. It can be se...

example 3

[0328] Example 3: A channel is to be built in a certain place, the known roughness n=0.014, longitudinal slope at the bottom of the channel i=1 / 20000, flow Q=25.0m 3 / s. It is required to design the flat-bottomed catenary channel according to the optimal hydraulic section and calculate the width of the water surface, the cross-sectional area of ​​the water and the wetted perimeter. Substituting known conditions into formulas (40), (33), and (34), the normal water depth h, shape coefficient a, and channel bottom width b can be obtained as h=4.30883m, a=2.04216, and b=1.74579m, respectively. Substituting known conditions into formula (36), we can see that the water surface width B hc = 9.10098m. Substituting the known conditions into formulas (42) and (43) to get A hc =29.67315m 2 , P hc = 13.77319m. The critical water depth h can be obtained from formula (46) c = 2.01187m.

[0329] In order to check the results, the Substitute into Manning formula (9) to get

[0330]...

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Abstract

The invention discloses a novel flat-bottom catenary open channel and a solving method of a hydraulic optimal section thereof. An opening of the flat-bottom catenary open channel is upward, and the section of the flat-bottom catenary open channel comprises a flat bottom and two catenary side edges which are positioned on two sides of the flat bottom and are smoothly connected with the flat bottom.The solving method comprises the following steps: designing the shape of the hydraulic section of the water conveying channel into a flat-bottom catenary section; establishing a solution model of thehydraulic optimal section of the flat-bottom curved open channel; solving the hydraulic optimal section of the flat-bottom catenary-shaped open channel; and solving the normal water depth and critical water depth of the hydraulic optimal section of the flat-bottom catenary open channel. The method has the advantages that the catenary section has no stress concentration point, and the open channelis not prone to have cracks caused by stress concentration. The open channel is small in leakage, good in stability, excellent in hydraulic characteristic, high in anti-freezing capacity and the like, also has the advantages of being flexible in flat-bottom section design, low in construction difficulty, easy to manage and maintain, easy to compact at the bottom and the like, and can improve thewater delivery efficiency, reduce the water delivery loss and reduce the construction cost.

Description

technical field [0001] The invention relates to a novel flat-bottomed catenary-shaped open channel and a method for solving the optimal hydraulic section thereof, and belongs to the technical field of section planning and design of water delivery channels in irrigation areas. Background technique [0002] Open channel section design is very important for water delivery channels. A suitable channel section can not only increase flow capacity, improve water delivery efficiency, reduce water delivery loss, but also reduce construction costs. Scholars have conducted a lot of research on channel sections, and proposed many channel section optimization theories and new channel section types, so that designers can choose suitable sections according to different purposes, different hydraulic, hydrogeological conditions, and sediment content. Types of. In my country, farmland irrigation is still dominated by traditional surface irrigation, and the irrigation area of ​​open channel w...

Claims

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Application Information

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IPC IPC(8): G06F17/50G06Q50/06
CPCG06Q50/06G06F2111/04G06F30/13G06F30/20
Inventor 韩延成梁梦媛唐伟初萍萍王月蕾周心悦张浩男
Owner UNIV OF JINAN
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