US 11,828,672 B2Granted

Designing method of test flume with special-shaped cross section and application thereof

AssigneeInstitute of Mountain Hazards and Environment, Chinese Academy of Sciences

InventorsJiangang Chen, Xian Wang, Huayong Chen, Xiaoqing Chen, Jinbo Tang, Wanyu Zhao, Tao Wang, Wenrun Liu, Xinglong Gong

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Abstract

A method for forming a test flume usable in hydraulic engineering and debris-flow hazard mitigation is provided. The test flume has a foundation flume and an expansion flume. The expansion flume has a lower edge connected to an upper edge of the foundation flume. A hydraulic radius of the test flume is determined based on a model test. A width of the foundation flume is selected based on a size of the test site of the model test. A coefficient is obtained and a width of the test flume is obtained. A cross section curve equation of the expansion flume is obtained based on the hydraulic radius of the test flume, the coefficient, the width of the test flume and the width of the foundation flume. The test flume is formed based on the cross section curve equation of the expansion flume.

A method for forming a test flume usable in hydraulic engineering and debris-flow hazard mitigation,

wherein the test flume comprises:
a foundation flume having a bottom wall and at least two side walls, and an expansion flume above the foundation flume;
wherein the expansion flume has a lower edge connected to an upper edge of the foundation flume;
wherein the foundation flume has a cross section that is rectangular, semicircular or triangular, and the expansion flume has a cross section that comprises two axisymmetric curves,
the method comprising:
determining a hydraulic radius R of the test flume based on a model test;
selecting a width b of the foundation flume based on a size of the test site of the model test, wherein the width b and the hydraulic radius R satisfies b>2R;
wherein when it is determined that 2R<b<4R, selecting the cross section of the foundation flume to be rectangular, and calculating a depth d by using formula
d
=
R
⁢
b
b
-
2
⁢
R
;
wherein when it is determined that b=4R, selecting the cross section of the foundation flume to be semicircular, and calculating the depth d by using formula d=b/2;
wherein when it is determined that b>4R, selecting the cross section of the foundation flume to be triangular, and calculating the depth d by using formula
d
=
2
⁢
R
⁢
b
b
2
-
1
⁢
6
⁢
R
2
;
obtaining a coefficient C by using formula
C
=
ar
⁢
cosh
⁡
(
b
2
⁢
R
)
;
obtaining a width B of the test flume by using formula B=k·b, wherein k is a coefficient;
obtaining a cross section curve equation of the expansion flume by using formula:
{
y
=
R
·
[
ar
⁢
cosh
⁡
(
-
x
R
)
-
C
]
,
-
B
/
2
≤
x
≤
-
b
/
2
y
=
R
·
[
ar
⁢
cosh
⁢
(
x
R
)
-
C
]
,
b
/
2
≤
x
≤
B
/
2
}
where R is the hydraulic radius of the test flume, C is the coefficient, B is the width of the test flume and b is the width of the foundation flume;
and
forming the test flume based on the cross section curve equation of the expansion flume.

111 more elements

Abstract

Claims3