CN104282203A - Bernoulli equation demonstration instrument - Google Patents

Bernoulli equation demonstration instrument Download PDF

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CN104282203A
CN104282203A CN201410501877.9A CN201410501877A CN104282203A CN 104282203 A CN104282203 A CN 104282203A CN 201410501877 A CN201410501877 A CN 201410501877A CN 104282203 A CN104282203 A CN 104282203A
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scale plate
bernoulli equation
viscous fluid
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CN104282203B (en
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吕景林
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Fudan University
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    • G09B23/00Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
    • G09B23/06Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics
    • G09B23/08Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for statics or dynamics
    • G09B23/12Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for statics or dynamics of liquids or gases

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Abstract

本发明属于教学演示实验设备技术领域,具体涉及一种伯努利方程的演示仪。本发明提供的伯努利方程演示仪由理想流体演示区、粘滞流体演示区组成,并构成演示仪的正面和反面;理想流体演示区包括A刻度板、A导流管、A演示管、液体槽四个部分;所述粘滞流体演示区包括B刻度板、漏斗、B演示管、B导流管四个部分;在理想流体演示区中,通过在导流管中通过高速气流,观察演示管中液体液面的高度来演示理想流体的伯努利方程;粘滞流体演示区中,通过演示管中粘滞流体流出速度的不同来演示粘滞流体的伯努利方程。本发明体积小、携带方便、操作简单,稳定性好,适合携带到课堂作随堂演示。

The invention belongs to the technical field of teaching and demonstration experiment equipment, and in particular relates to a demonstration instrument for Bernoulli equation. The Bernoulli equation demonstration instrument provided by the present invention is made up of ideal fluid demonstration area, viscous fluid demonstration area, and constitutes the front and back of demonstration instrument; Ideal fluid demonstration area comprises A scale plate, A guide tube, A demonstration tube, Four parts of the liquid tank; the viscous fluid demonstration area includes four parts of the B scale plate, funnel, B demonstration tube, and B guide tube; in the ideal fluid demonstration area, by passing the high-speed air flow in the guide tube, observe Demonstrate the height of the liquid level in the tube to demonstrate the Bernoulli equation of the ideal fluid; in the viscous fluid demonstration area, demonstrate the Bernoulli equation of the viscous fluid by demonstrating the difference in the outflow velocity of the viscous fluid in the tube. The invention is small in size, convenient to carry, simple in operation and good in stability, and is suitable for being carried to classrooms for demonstrations.

Description

一种伯努利方程演示仪A Bernoulli Equation Demonstration Instrument

技术领域 technical field

本发明属于教学演示实验设备技术领域,具体涉及一种可以同时演示理想流体伯努利方程和粘滞流体伯努利方程的演示仪。 The invention belongs to the technical field of teaching and demonstration experiment equipment, in particular to a demonstration instrument capable of simultaneously demonstrating the Bernoulli equation of ideal fluid and the Bernoulli equation of viscous fluid.

背景技术 Background technique

伯努利方程是流体力学中最基本的方程之一,在工程设计中有大量的应用。同时伯努利方程在理想流体和粘滞流体中有不同的表现形式,其本质是反映了流体内部的能量守恒关系,透彻的理解这一方程对学生学好流体力学关系重大。 Bernoulli's equation is one of the most basic equations in fluid mechanics and has a large number of applications in engineering design. At the same time, the Bernoulli equation has different manifestations in ideal fluid and viscous fluid. Its essence reflects the energy conservation relationship inside the fluid. A thorough understanding of this equation is very important for students to learn fluid mechanics.

由于流体是连续介质,其中的能量关系很难显现出来,所以学生在理解、掌握这一基本理论的过程中存在很大的困难,急需有一个好的演示仪器对理论加以诠释,本仪器正是填补了这项空白,收到了很好的课堂教学效果。 Because the fluid is a continuous medium, the energy relationship in it is difficult to show, so students have great difficulties in the process of understanding and mastering this basic theory. It is urgent to have a good demonstration instrument to explain the theory. This instrument is exactly This blank has been filled and good classroom teaching effect has been received.

发明内容 Contents of the invention

本发明的目的是提供一种体积小、携带方便、操作简单,稳定性好,可以在课堂上分别演示理想流体、粘滞流体情况下的伯努利方程的装置。 The purpose of the present invention is to provide a device which is small in size, easy to carry, simple in operation and good in stability, and can respectively demonstrate the Bernoulli equation under the conditions of ideal fluid and viscous fluid in the classroom.

本发明提供的伯努利方程演示仪,结构如图1、2、3所示,由理想流体演示区1、粘滞流体演示区2组成,并构成演示仪的正面和反面;其中:   The Bernoulli equation demonstration instrument provided by the present invention has a structure as shown in Figures 1, 2, and 3, and is composed of an ideal fluid demonstration area 1 and a viscous fluid demonstration area 2, and constitutes the front and back sides of the demonstration instrument; wherein:

理想流体演示区1(如图2所示,为正面),包括:A刻度板3、A导流管4、A演示管5、液体槽6四个部分。其中,液体槽6位于整个演示区1的下方;A刻度板3位于演示区后方;A刻度板3材料不限,刚性即可;A导流管4由几段直径不同的管子组成,各段管间密封连接,相互连通,水平放置,且固定于A刻度板上;A演示管5由一组管径相同的竖直放置的透明管子组成,每根管的上端分别与一段直径不同的A导流管密封连通,下端开口,置于液体槽6内。演示时先将液体槽中注入染色的液体,在导流管的一端用气泵吹气,观察各演示管中液体上升的高度。  The ideal fluid demonstration area 1 (as shown in FIG. 2 , is the front side), includes four parts: A scale plate 3 , A guide tube 4 , A demonstration tube 5 , and a liquid tank 6 . Wherein, the liquid tank 6 is located below the entire demonstration area 1; the A scale plate 3 is located at the rear of the demonstration area; the material of the A scale plate 3 is not limited, as long as it is rigid; The tubes are sealed and connected to each other, placed horizontally, and fixed on the A scale plate; the A demonstration tube 5 is composed of a group of vertically placed transparent tubes with the same diameter, and the upper end of each tube is respectively connected to a section of A with a different diameter. The guide tube is sealed and communicated, and the lower end is open, and is placed in the liquid tank 6 . During the demonstration, first inject the dyed liquid into the liquid tank, blow air with an air pump at one end of the guide tube, and observe the rising height of the liquid in each demonstration tube. the

粘滞流体演示区2(如图3所示,为反面),包括:B刻度板7、漏斗8、B演示管9、B导流管10四个部分。其中,B刻度板7在A刻度板3的另一面,即B刻度板7与A刻度板3共用一块板的两面;B导流管10粗细均匀,水平放置,位于演示区2下部,末端装有一个开关;B演示管9亦由一组相同管径的等间距竖直放置的透明管子组成,各B演示管上端开放,下端与B导流管10相通,连通处与外界密封,整组B演示管9的各管分别固定在B刻度板7上;漏斗8与B演示管9最边上的一根相连。演示时,先将导流管的开关闭合,将染色的粘滞流体从漏斗中缓慢注入,至各演示管近乎充满,然后打开开关,观察粘滞流体流出时的特点。 The viscous fluid demonstration area 2 (as shown in FIG. 3 , the reverse side) includes four parts: B scale plate 7 , funnel 8 , B demonstration tube 9 , and B draft tube 10 . Wherein, the B scale plate 7 is on the other side of the A scale plate 3, that is, the B scale plate 7 and the A scale plate 3 share the two sides of one plate; There is a switch; the B demonstration tube 9 is also composed of a group of transparent tubes placed vertically at equal intervals with the same pipe diameter. The upper end of each B demonstration tube is open, and the lower end communicates with the B draft tube 10. Each tube of the B demonstration tube 9 is fixed on the B scale plate 7 respectively; During the demonstration, first close the switch of the guide tube, slowly inject the dyed viscous fluid from the funnel until each demonstration tube is almost full, then turn on the switch, and observe the characteristics of the viscous fluid when it flows out.

本发明中,所有部件均采用刚性透明材料。 In the present invention, all components are made of rigid transparent materials.

本发明中, A导流管(4)的各段管子内径的倒数(1/d)成等差关系。 In the present invention, the reciprocal (1/d) of the inner diameters of each section of the A draft tube (4) is in an equidifferential relationship.

A刻度板3和B刻度板7上有刻度线,或者粘贴刻度纸, 帮助观察者更清晰地观察演示效果。 There are scale lines on the A scale plate 3 and B scale plate 7, or the scale paper is pasted to help the observer observe the demonstration effect more clearly.

本发明中,用染色液面上升高度的方法演示理想流体伯努利方程;用染色粘滞流体下降速度的方法演示粘滞流体伯努利方程。 In the present invention, the Bernoulli equation of ideal fluid is demonstrated by the method of rising height of dyed liquid level; the Bernoulli equation of viscous fluid is demonstrated by the method of descending velocity of dyed viscous fluid.

本发明演示仪体积小、携带方便、操作简单,稳定性好,可以在课堂上分别演示理想流体、粘滞流体情况下的伯努利方程。 The demonstration instrument of the invention is small in volume, convenient to carry, simple in operation and good in stability, and can respectively demonstrate the Bernoulli equation under the conditions of ideal fluid and viscous fluid in the classroom.

附图说明 Description of drawings

图1为本演示仪的侧视图。 Figure 1 is a side view of the demo instrument.

图2为本演示仪的正面,是理想流体演示区装置示意图。 Figure 2 is the front of the demonstration instrument, which is a schematic diagram of the ideal fluid demonstration area.

图3为本演示仪的反面,是粘滞流体演示区装置示意图。 Figure 3 is the reverse side of the demonstration instrument, which is a schematic diagram of the device in the viscous fluid demonstration area.

图中标号:1为理想流体演示区,2为粘滞流体演示区,3为A刻度板,4为A导流管,5为A演示管,6为液体槽, 7为B刻度板,8为漏斗,9为B演示管,10为B导流管。 Numbers in the figure: 1 is ideal fluid demonstration area, 2 is viscous fluid demonstration area, 3 is A scale plate, 4 is A guide tube, 5 is A demonstration tube, 6 is liquid tank, 7 is B scale plate, 8 Is the funnel, 9 is the B demonstration tube, and 10 is the B diversion tube.

具体实施方式 Detailed ways

本发明提供的伯努利方程演示仪由:理想流体演示区1、粘滞流体演示区2组成,结构如图1、2、3所示。其中:  The Bernoulli equation demonstration instrument provided by the present invention is composed of an ideal fluid demonstration area 1 and a viscous fluid demonstration area 2, the structures of which are shown in Figures 1, 2 and 3. in:

理想流体演示区1(如图2所示),包括A刻度板3、A导流管4、A演示管5、液体槽6四个部分。刻度板的作用一方面用来固定导流管,另一方面用来帮助观察现象,尺寸以既方便观察又方便搬运为原则,厚度不限,刚性即可,故本装置中采用有机玻璃板作为刻度板的基底,尺寸60cm*50cm,并将打好的刻度纸贴于表面;A导流管各段必须刚性,且长度相同,取10cm左右,本装置中采用有机玻璃管,各段导流管的内径倒数(1/d)成等差关系,各段管间密封连接,相互连通,水平放置;A演示管由一组相同的竖直放置的透明、刚性管子组成,直径不限,本装置亦采用有机玻璃管,每根管的上端分别与一段直径不同的导流管密封连通,下端开口,置于液体槽内;液体槽可采用透明的有机玻璃制成,尺寸60cm*6cm*8cm。 The ideal fluid demonstration area 1 (as shown in FIG. 2 ) includes four parts: a scale plate A 3 , a guide tube A 4 , a demonstration tube A 5 , and a liquid tank 6 . The role of the scale plate is to fix the diversion tube on the one hand, and to help observe the phenomenon on the other hand. The size is based on the principle of convenient observation and easy handling. The thickness is not limited, and rigidity is enough. Therefore, the plexiglass plate is used in this device. The base of the scale plate, the size is 60cm*50cm, and the printed scale paper is pasted on the surface; each section of the A diversion tube must be rigid and the length is the same, take about 10cm, this device uses a plexiglass tube, and each section guides The reciprocal of the inner diameter of the tube (1/d) is in an equidifferential relationship, and the tubes of each section are sealed and connected to each other, and placed horizontally; the demonstration tube A is composed of a group of identical vertically placed transparent and rigid tubes, and the diameter is not limited. The device also uses plexiglass tubes. The upper end of each tube is sealed and communicated with a section of diversion tube with different diameters, and the lower end is open and placed in the liquid tank; the liquid tank can be made of transparent plexiglass, with a size of 60cm*6cm*8cm .

演示时先将液体槽中注入染色的液体(例如红墨水),在导流管的一端用气泵吹气,观察各演示管中液体上升的高度。 During the demonstration, first inject the dyed liquid (such as red ink) into the liquid tank, blow air with an air pump at one end of the guide tube, and observe the rising height of the liquid in each demonstration tube.

粘滞流体演示区2(如图3所示),包括B刻度板7、漏斗8、B演示管9、B导流管10四个部分。B刻度板7与A刻度板3共用一块板的两面;漏斗尺寸、材质不限,下端与B演示管最边上的一根相连;B演示管亦由一组相同的等间距竖直放置的刚性透明管子组成,直径不限,本装置也采用有机玻璃管,各B演示管上端开放,下端与一粗细均匀的B导流管相通,连通处与外界密封,整组演示管的各管分别固定在B刻度板上;B导流管水平放置,应为刚性、透明材料,本装置采用有机玻璃管,导流管的末端装有一个开关。 The viscous fluid demonstration area 2 (as shown in FIG. 3 ) includes four parts: the B scale plate 7 , the funnel 8 , the B demonstration tube 9 , and the B draft tube 10 . B scale plate 7 and A scale plate 3 share both sides of a plate; the size and material of the funnel are not limited, and the lower end is connected with the one on the edge of the B demonstration tube; It is composed of rigid transparent tubes with unlimited diameters. This device also uses plexiglass tubes. The upper end of each B demonstration tube is open, and the lower end communicates with a B diversion tube with uniform thickness. The connection is sealed with the outside world. It is fixed on the B scale plate; the B guide tube is placed horizontally and should be made of rigid and transparent materials. This device uses a plexiglass tube, and a switch is installed at the end of the guide tube.

演示时,先将导流管的开关闭合,将染色的粘滞流体(例如掺了红墨水的甘油)从漏斗中缓慢注入,至各演示管近乎充满,然后打开开关,观察粘滞流体流出时的特点。 When demonstrating, first close the switch of the guide tube, slowly inject the dyed viscous fluid (such as glycerin mixed with red ink) from the funnel until each demonstration tube is almost full, then turn on the switch, and observe when the viscous fluid flows out. specialty.

Claims (6)

1. 一种伯努利方程演示仪,用于分别演示理想流体和粘滞流体情况下伯努利方程,其特征在于由理想流体演示区、粘滞流体演示区组成,并构成演示仪的正面和反面;其中:   1. A Bernoulli equation demonstrator, which is used to respectively demonstrate the Bernoulli equation under ideal fluid and viscous fluid conditions, and is characterized in that it is composed of an ideal fluid demonstration area and a viscous fluid demonstration area, and constitutes the front of the demonstrator and the opposite; where: 所述理想流体演示区,包括:A刻度板、A导流管、A演示管、液体槽四个部分;其中,液体槽位于整个演示区的下方;A刻度板上有刻度线;A导流管由几段直径不同的管子组成,各段管间密封连接,相互连通,水平放置,且固定于A刻度板上;A演示管由一组管径相同的竖直放置的透明管子组成,每根管的上端分别与一段直径不同的A导流管密封连通,下端开口,置于液体槽内; The ideal fluid demonstration area includes four parts: A scale plate, A guide tube, A demonstration tube, and liquid tank; wherein, the liquid tank is located below the entire demonstration area; there are scale lines on the A scale plate; The tube is composed of several sections of tubes with different diameters. The tubes are sealed and connected to each other. They are placed horizontally and fixed on the A scale plate; The upper ends of the root canals are sealed and communicated with a section of A diversion tubes with different diameters, and the lower ends are open and placed in the liquid tank; 所述粘滞流体演示区,包括:B刻度板、漏斗、B演示管、B导流管四个部分;其中,B刻度板在A刻度板的另一面,即B刻度板与A刻度板共用一块板;B导流管粗细均匀,水平放置,位于演示区下部,末端装有一个开关; B演示管由一组相同管径的等间距竖直放置的透明管子组成,各B演示管上端开放,下端与B导流管相通,连通处与外界密封,B演示管的各管分别固定在B刻度板上;漏斗与B演示管最边上的一根相连。 The viscous fluid demonstration area includes four parts: B scale plate, funnel, B demonstration tube, and B diversion tube; wherein, the B scale plate is on the other side of the A scale plate, that is, the B scale plate is shared with the A scale plate One plate; the B diversion tube is uniform in thickness, placed horizontally, located in the lower part of the demonstration area, and a switch is installed at the end; the B demonstration tube is composed of a group of transparent tubes with the same diameter and equidistant vertical placement, and the upper end of each B demonstration tube is open , the lower end communicates with the B guide tube, and the connection is sealed with the outside world. The tubes of the B demonstration tube are respectively fixed on the B scale plate; the funnel is connected with the one on the side of the B demonstration tube. 2. 如权利要求1所述的伯努利方程演示仪,其特征在于所有部件均采用刚性透明材料。 2. Bernoulli equation demonstrator as claimed in claim 1, is characterized in that all parts all adopt rigid transparent material. 3. 如权利要求1所述的伯努利方程演示仪,其特征在于组成A导流管的各段管子内径倒数成等差关系。 3. The Bernoulli equation demonstrator as claimed in claim 1, is characterized in that the reciprocals of the internal diameters of each section of the A draft tube form an equal difference relationship. 4. 如权利要求1所述的伯努利方程演示仪,其特征在于用染色液面上升高度的方法演示理想流体伯努利方程。 4. Bernoulli's equation demonstrator as claimed in claim 1, is characterized in that the ideal fluid Bernoulli's equation is demonstrated with the method of dyeing liquid level rising height. 5. 如权利要求1所述的伯努利方程演示仪,其特征在于用染色粘滞流体下降速度的方法演示粘滞流体伯努利方程。 5. The Bernoulli equation demonstrating instrument as claimed in claim 1, is characterized in that demonstrating the viscous fluid Bernoulli equation with the method of dyeing viscous fluid descending velocity. 6. 如权利要求1所述的伯努利方程演示仪,其特征在于A刻度板和B刻度板上有刻度线,或者粘贴刻度纸,帮助观察者更清晰地观察演示效果。 6. The Bernoulli equation demonstrator as claimed in claim 1, characterized in that there are scale lines on the A scale plate and the B scale plate, or the scale paper is pasted to help the observer to observe the demonstration effect more clearly.
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Cited By (2)

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Publication number Priority date Publication date Assignee Title
CN106816065A (en) * 2016-12-22 2017-06-09 陈炳坤 Bernoulli equation experimental instrument and the method that Bernoulli equation is verified using it
CN109448514A (en) * 2018-12-28 2019-03-08 北京理工大学 Bernoulli principle demonstration instrument for teaching

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