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CN119642004B - Secondary water supply pipeline provided with spiral male rifling and flow velocity calculation method thereof - Google Patents

Secondary water supply pipeline provided with spiral male rifling and flow velocity calculation method thereof Download PDF

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Publication number
CN119642004B
CN119642004B CN202510182094.7A CN202510182094A CN119642004B CN 119642004 B CN119642004 B CN 119642004B CN 202510182094 A CN202510182094 A CN 202510182094A CN 119642004 B CN119642004 B CN 119642004B
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pipeline
pipe
spiral
tapered
cross
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CN119642004A (en
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韩贺永
吴立
李锦明
李美玲
李伟伟
刘垂毅
侯越
王浩博
李栋
盛高旗
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Shanxi Shanming Smart Water Co ltd
Taiyuan University of Science and Technology
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Shanxi Shanming Smart Water Co ltd
Taiyuan University of Science and Technology
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    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02A—TECHNOLOGIES FOR ADAPTATION TO CLIMATE CHANGE
    • Y02A20/00—Water conservation; Efficient water supply; Efficient water use
    • Y02A20/152—Water filtration

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Abstract

The invention belongs to the technical field of fluid conveying water supply pipelines, and in particular relates to a secondary water supply pipeline provided with spiral breeches and a flow velocity calculation method thereof, wherein the flow velocity calculation method comprises the steps of obtaining the gradual change cross-sectional area of the spiral breeches through equivalent cycloids and arcs; and then the Bernoulli equation and the continuity equation are utilized to obtain the flow velocity of any point in the conical pipeline, and the flow of the whole section of the conical pipeline is accurately calculated through integration. The calculation method improves the precision and accuracy of the calculation result, so that the flow and flow velocity values generated by the secondary water supply pipeline provided with the spiral male rifling can be calculated and analyzed more clearly and accurately, and a reference can be provided for designing a secondary water supply system.

Description

Secondary water supply pipeline provided with spiral male rifling and flow velocity calculation method thereof
Technical Field
The invention belongs to the technical field of fluid conveying water supply pipelines, and particularly relates to a secondary water supply pipeline provided with spiral male rifling and a flow velocity calculation method thereof.
Background
The water pipe is an essential device for water supply, and the water pipe can be made of metal pipes, plastic composite metal pipes and plastic pipes, wherein the water pipe which is most commonly used in daily life is a stainless steel pipe in the metal pipe and a PPR pipe in the plastic pipe. Stainless steel is safe, sanitary, healthy and durable, eliminates the pollution problem of plastic pipelines, saves more price than copper pipes, and is the preferred water pipe material. The PPR pipe can be used as a novel water pipe, not only can be used as a cold pipe, but also can be used as a hot water pipe, and has the advantages of no toxicity, light weight, pressure resistance and corrosion resistance. However, no matter what kind of pipe is used, under the same initial condition, the speed and the lift of water flow in the pipeline are almost the same, and the existing water supply pipeline still has room for improvement in energy saving and water saving.
The invention of publication number CN 107906086A provides a sleeve-type spiral flow generating device, the design of the spiral sheet can affect the flow uniformity of the fluid in the pipeline. If the fluid flow is uneven, it may result in local pressures that are too high or too low, thereby affecting the efficiency and stability of the overall system. And because the space between the spiral sheet and the inner tube is smaller, and the design of the spiral sheet is more complex, difficulties in cleaning and maintenance can be caused, the workload of operators can be increased, and the long-term operation efficiency of the device can be affected.
The invention patent publication No. CN 118623102A provides a novel water supply pipeline of secondary water supply equipment, and the water supply pipeline provided with spiral rifling is a straight pipeline, so that the flow velocity lifting effect is limited.
Disclosure of Invention
Aiming at the technical problems, the invention provides a secondary water supply pipeline with spiral rifling and a flow velocity calculation method thereof, which reduce energy consumption, save water cost and achieve the same water supply effect under the drive of a low-level power motor. In order to solve the technical problems, the invention adopts the following technical scheme:
The utility model provides a secondary water supply pipe with spiral positive rifling, includes straight line pipe, taper pipe, spiral positive rifling, square flange, O type seal groove and straight slot bolt through-hole, the one end of straight line pipe is connected with the large end of taper pipe, be provided with spiral positive rifling in the taper pipe, square flange is provided with two, one square flange connects the other end at the straight line pipe, another square flange connects the tip at the taper pipe, the square flange of straight line pipe other end passes through straight slot bolt through-hole and water pump's exit linkage, the square flange of taper pipe tip passes through straight slot bolt through-hole and pipe network pipe connection, two all be provided with O type seal groove in the square flange.
The straight pipeline and the conical pipeline adopt galvanized steel pipes, stainless steel pipes or cast iron pipes.
A method of calculating the flow rate of a secondary water supply pipe provided with a spiral land, comprising the steps of:
S1, the cross section of a spiral male rifling is equivalent to an area surrounded by cycloids and arcs, and the cross section of the spiral male rifling is calculated;
S2, calculating the effective cross section area of the conical pipeline according to the cross section area of the spiral rifling calculated in the S1;
S3, calculating the flow velocity of any point of the conical pipeline through a Bernoulli equation according to the effective cross section area of the conical pipeline calculated in the S2;
S4, calculating the flow of the whole section of the conical pipeline according to the flow velocity of any point in the conical pipeline calculated in the S3.
The method for calculating the cross-sectional area of the spiral rifling in the step S1 is as follows:
the cross section area of the spiral male rifling is equivalent to the area surrounded by cycloid and arc line according to the cutting method;
the equivalent curve expression of cycloids is:
; the value range of (2) is 0-2 pi;
Differentiating it to obtain:
;
The area of cycloid composition is:
;
the equivalent curve expression of the arc is:
;
Differentiating it to obtain:
;
The area of the arc is:
;
the cross-sectional area of the spiral land is:
;
Wherein: is the cross-sectional area of the spiral land; Is the area of cycloid composition; is the area formed by the arc lines; the value range is [0-2 pi ] for the rolling angle; Is radian, a is the height of the spiral rifling, b is the width of the spiral rifling, R is the gradual change radius of the conical pipeline, ,Is the radius of the small end of the conical pipeline,Is the radius of the large end of the conical pipeline,。
The method for calculating the effective cross-sectional area of the conical pipeline in the step S2 is as follows:
;
Wherein A 2 is the effective cross-sectional area of the conical pipeline, n is the number of spiral breeches, R is the gradual change radius of the conical pipeline, 。
The method for calculating the flow velocity of any point in the conical pipeline in the step S3 is to neglect head loss, wherein the Bernoulli equation is as follows:
;
From the continuity equation ;
Obtaining;
Thereby obtaining the flow rate at any point in the conical pipeline:
;
Wherein: is the flow velocity in the straight pipeline; the flow velocity of any point in the conical pipeline is represented by rho, which is the density of water in the conical pipeline; Is the pressure in the straight pipeline; is the pressure at any point in the tapered pipe; Gravitational acceleration; is the cross-sectional area of the straight pipeline; is the effective cross-sectional area of the tapered conduit.
The method for calculating the flow of the whole section of the conical pipeline in the step S4 comprises the following steps:
;
Wherein Q is the flow of the whole section of the conical pipeline.
Compared with the prior art, the invention has the beneficial effects that:
The invention provides a flow rate calculation method of a secondary water supply pipeline provided with a spiral rifling, which is characterized in that the cross section of the spiral rifling is equivalent to an area surrounded by cycloids and arcs to obtain the cross section of the spiral rifling, so as to obtain the effective cross section of a conical pipeline, then the Bernoulli equation and a known flow rate and pressure at a certain point are utilized to obtain the flow rate at any point of the conical pipeline, and the flow rate of the whole section provided with the conical pipeline is accurately calculated through integration. The calculation method improves the precision and accuracy of the calculation result, so that the flow and flow velocity values generated by the secondary water supply pipeline provided with the spiral male rifling can be calculated and analyzed more clearly and accurately, and a reference can be provided for designing a secondary water supply system.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below. It will be apparent to those skilled in the art from this disclosure that the drawings described below are merely exemplary and that other embodiments may be derived from the drawings provided without undue effort.
The structures, proportions, sizes, etc. shown in the present specification are shown only for the purposes of illustration and description, and are not intended to limit the scope of the invention, which is defined by the claims, so that any structural modifications, changes in proportions, or adjustments of sizes, which do not affect the efficacy or the achievement of the present invention, should fall within the scope of the invention.
FIG. 1 is a schematic diagram of the structure of the present invention;
FIG. 2 is a cross-sectional view of a water supply pipe according to the present invention;
FIG. 3 is a front view of the present invention;
Fig. 4 is a schematic diagram of an equivalent curve of the arc of the present invention.
Wherein, 1 is a straight pipeline, 2 is a conical pipeline, 3 is a spiral breech line, 4 is a square connecting flange, 5 is an O-shaped sealing groove, and 6 is a straight groove bolt through hole.
Detailed Description
For the purposes of making the objects, technical solutions and advantages of the embodiments of the present application more apparent, the technical solutions of the embodiments of the present application will be clearly and completely described below, and it is apparent that the described embodiments are only some embodiments of the present application, but not all embodiments, which are only to further illustrate the features and advantages of the present application, but not limit the claims of the present application, and all other embodiments obtained by those skilled in the art without making creative efforts based on the embodiments of the present application are included in the scope of protection of the present application.
The following describes in further detail the embodiments of the present invention with reference to the drawings and examples. The following examples are illustrative of the invention and are not intended to limit the scope of the invention.
In the description of the present application, unless explicitly stated or limited otherwise, the terms "mounted," "connected," and "connected" are to be construed broadly, and may be, for example, fixedly connected, detachably connected, or integrally connected, mechanically connected, electrically connected, directly connected, indirectly connected via an intermediate medium, or in communication between two elements. The specific meaning of the above terms in the present application will be understood in specific cases by those of ordinary skill in the art.
The utility model provides a secondary water supply pipe with spiral positive rifling, as shown in fig. 1, fig. 2, including straight line 1, the taper pipe 2, spiral positive rifling 3, square flange 4, O type seal groove 5 and straight slot bolt through-hole 6, the one end of straight line 1 is connected with the big end of taper pipe 2, be provided with spiral positive rifling 3 in the taper pipe 2, square flange 4 is provided with two, square flange 4 connects the other end at straight line 1, square flange 4 of another square flange 4 connects the tip at taper pipe 2, square flange 4 of straight line 1 other end passes through straight slot bolt through-hole 6 and is connected with the outlet of water pump, square flange 4 of taper pipe 2 tip passes through straight slot bolt through-hole 6 and is connected with the pipe network pipeline, all be provided with O type sealing washer in O type seal groove 5,O in two square flange 4. Under the action of the spiral rifling 3, the water flow changes from collision flow field to rotation flow field when passing through the conical pipeline 2 at high speed. Compared with a common smooth pipeline, when water flows through the conical pipeline 2 provided with the spiral male rifling 3 under the driving of a motor with the same power, the spray distance is longer, the height is higher, and the equipment cost and the energy consumption can be further reduced.
As shown in fig. 1-4, a conical pipeline 2 provided with spiral rifling 3 is directly connected to the outlet of the water pump through a square connecting flange 4, the gradual change radius of the conical pipeline 2 is R, m is a rolling angle, the value range is 0-2 pi, a is the height of the spiral rifling 3, b is the width of the spiral rifling 3, n is the number of the spiral rifling 3, generally 3-5,Is in radian.
A flow rate calculation method for a secondary water supply pipe provided with spiral rifling is to equate the cross-sectional area of the spiral rifling 3 to an area surrounded by cycloids (first portion) and arcs (second portion) according to a cutting method as shown in FIGS. 3 and 4.
The equivalent curve expression of the first part is:
(1)
the range of the value of (C) is 0-2 pi
Differentiating it to obtain:
(2)
The area of its composition is:
(3)
The equivalent curve expression of the second part is:
(4)
Differentiating it to obtain:
(5)
the area of the components is as follows:
(6)
the cross-sectional area of the spiral land 3 is: (7)
the effective cross-sectional area of the tapered conduit 2 is: (8)
Wherein: is the cross-sectional area of the spiral rifling 3; Is the area of cycloid composition; is the area formed by the arc lines; the value range is [0-2 pi ] for the rolling angle; In radians, a is the height of the spiral breech 3, b is the width of the spiral breech 3, R is the gradual radius of the tapered tube 2, ,Is the radius of the small end of the conical pipe 2,Is the radius of the large end of the tapered pipe 2,。
And then according to Bernoulli equation, calculating the flow velocity of any point in the conical pipeline 2:
neglecting head loss, the column bernoulli equation is as follows: (9)
From the continuity equation
Obtaining(10)
Bringing formula (10) to formula (9) yields a flow rate at any point in the tapered pipe 2:
(11)
Wherein: Is the flow velocity in the straight pipeline 1; The flow velocity of any point in the conical pipeline 2 is represented by ρ, which is the density of water in the conical pipeline 2; Is the pressure in the straight pipeline 1; Is the pressure at any point in the conical pipeline 2; Gravitational acceleration; Is the cross-sectional area of the straight pipeline 1; Is the effective cross-sectional area of the tapered conduit 2.
The flow rate of the whole section of the conical pipeline 2 is as follows:
(12)
the preferred embodiments of the present invention have been described in detail, but the present invention is not limited to the above embodiments, and various changes can be made within the knowledge of those skilled in the art without departing from the spirit of the present invention, and the various changes are included in the scope of the present invention.

Claims (2)

1.一种设有螺旋阳膛线的二次供水管道流速计算方法，其特征在于，包括下列步骤：1. A method for calculating the flow rate of a secondary water supply pipeline provided with spiral rifling, characterized in that it comprises the following steps: S1、将螺旋阳膛线（3）的横截面等效成摆线与弧线围成的面积，计算得到螺旋阳膛线（3）的横截面积；S1, equating the cross section of the spiral rifling (3) to the area enclosed by the cycloid and the arc, and calculating the cross section area of the spiral rifling (3); 根据切割法将螺旋阳膛线（3）的横截面积等效成由摆线与弧线围成的面积；According to the cutting method, the cross-sectional area of the spiral rifling (3) is equivalent to the area enclosed by the cycloid and the arc; 摆线的等效曲线表达式为：The equivalent curve expression of the cycloid is: ； ; m的取值范围为[0-2π]；The value range of m is [0-2π]; 将其微分得：Differentiate it to get: ； ; 则摆线组成的面积为：Then the area formed by the cycloid is: ； ; 弧线的等效曲线表达式为：The equivalent curve expression of the arc is: ； ; 将其微分得：Differentiate it to get: ； ; 则弧线组成的面积为：The area formed by the arc is: ； ; 则螺旋阳膛线（3）的横截面积为：Then the cross-sectional area of the spiral rifling (3) is: ； ; 其中：为螺旋阳膛线（3）的横截面积；为摆线组成的面积；为弧线组成的面积；为滚动角，取值范围为[0-2π]；为弧度；a为螺旋阳膛线（3）的高度；b是螺旋阳膛线（3）的宽度；R是锥形管道（2）的渐变半径，，为锥形管道（2）小端的半径，为锥形管道（2）大端的半径，；in: is the cross-sectional area of the spiral rifling (3); is the area composed of the cycloids; is the area of the arc; is the rolling angle, the value range is [0-2π]; is the arc; a is the height of the spiral rifling (3); b is the width of the spiral rifling (3); R is the gradient radius of the tapered pipe (2), , is the radius of the small end of the tapered pipe (2), is the radius of the large end of the tapered pipe (2), ; S2、根据S1中计算得到的螺旋阳膛线（3）的横截面积，计算得到锥形管道（2）的有效横截面积；S2, calculating the effective cross-sectional area of the tapered pipe (2) according to the cross-sectional area of the spiral rifling (3) calculated in S1; ； ; 其中：A 2为锥形管道（2）的有效横截面积；n为螺旋阳膛线（3）的条数；R是锥形管道（2）的渐变半径，；Where: A2 is the effective cross-sectional area of the tapered pipe (2); n is the number of spiral rifling lines (3); R is the gradient radius of the tapered pipe (2), ; S3、根据S2中计算得到的锥形管道（2）的有效横截面积，通过伯努利方程计算锥形管道（2）任意一点流速；S3, calculating the flow velocity at any point of the tapered pipe (2) by using the Bernoulli equation according to the effective cross-sectional area of the tapered pipe (2) calculated in S2; 忽略水头损失，列伯努利方程如下：Ignoring the head loss, the Bernoulli equation is as follows: ； ; 再由连续性方程；Then from the continuity equation ; 得到；get ; 从而得到锥形管道（2）内任意一点流速：Thus, the flow velocity at any point in the conical pipe (2) is obtained: ； ; 其中：为直行管道（1）内的流速；为锥形管道（2）内任意一点流速；ρ为锥形管道（2）内水的密度；为直行管道（1）内的压力；为锥形管道（2）内任意一点的压力；为重力加速度；为直行管道（1）的横截面积；为锥形管道（2）的有效横截面积；in: is the flow velocity in the straight pipe (1); is the flow velocity at any point in the conical pipe (2); ρ is the density of water in the conical pipe (2); is the pressure in the straight pipeline (1); is the pressure at any point in the tapered pipe (2); is the acceleration due to gravity; is the cross-sectional area of the straight pipe (1); is the effective cross-sectional area of the tapered pipe (2); S4、根据S3中计算得到的锥形管道（2）内任意一点流速，计算得到锥形管道（2）整个断面的流量：S4. Based on the flow velocity at any point in the tapered pipe (2) calculated in S3, calculate the flow rate of the entire cross section of the tapered pipe (2): ； ; 其中：Q为锥形管道（2）整个断面的流量；Where: Q is the flow rate of the entire cross section of the tapered pipe (2); 所述一种设有螺旋阳膛线的二次供水管道，包括直行管道（1）、锥形管道（2）、螺旋阳膛线（3）、方形连接法兰（4）、O型密封槽（5）和直槽螺栓通孔（6），所述直行管道（1）的一端与锥形管道（2）的大端连接，所述锥形管道（2）内设置有螺旋阳膛线（3），所述方形连接法兰（4）设置有两个，一个所述方形连接法兰（4）连接在直行管道（1）的另一端，另一个所述方形连接法兰（4）连接在锥形管道（2）的小端，所述直行管道（1）另一端的方形连接法兰（4）通过直槽螺栓通孔（6）与水泵的出口连接，所述锥形管道（2）小端的方形连接法兰（4）通过直槽螺栓通孔（6）与管网管道连接，两个所述方形连接法兰（4）内均设置有O型密封槽（5）。A secondary water supply pipeline provided with spiral grooves comprises a straight pipeline (1), a tapered pipeline (2), spiral grooves (3), a square connection flange (4), an O-type sealing groove (5) and a straight groove bolt through hole (6), wherein one end of the straight pipeline (1) is connected to the large end of the tapered pipeline (2), the tapered pipeline (2) is provided with spiral grooves (3), two square connection flanges (4) are provided, one of the square connection flanges (4) is connected to the other end of the straight pipeline (1), and the other square connection flange (4) is connected to the small end of the tapered pipeline (2), the square connection flange (4) at the other end of the straight pipeline (1) is connected to the outlet of a water pump through the straight groove bolt through hole (6), the square connection flange (4) at the small end of the tapered pipeline (2) is connected to the pipe network pipeline through the straight groove bolt through hole (6), and the two square connection flanges (4) are both provided with O-type sealing grooves (5). 2.根据权利要求1所述的一种设有螺旋阳膛线的二次供水管道流速计算方法，其特征在于：所述直行管道（1）、锥形管道（2）采用镀锌钢管、不锈钢管或铸铁管。2. A method for calculating the flow rate of a secondary water supply pipeline with spiral rifling according to claim 1, characterized in that the straight pipeline (1) and the tapered pipeline (2) are made of galvanized steel pipes, stainless steel pipes or cast iron pipes.
CN202510182094.7A 2025-02-19 2025-02-19 Secondary water supply pipeline provided with spiral male rifling and flow velocity calculation method thereof Active CN119642004B (en)

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