CN104282203A - Bernoulli equation demonstration instrument - Google Patents

Bernoulli equation demonstration instrument Download PDF

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Publication number
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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China
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demonstration
scaleplate
bernoulli equation
mozzle
fluid
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CN201410501877.9A
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CN104282203B (en
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吕景林
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Fudan University
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Fudan University
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    • GPHYSICS
    • G09EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09BEDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • 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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  • Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Algebra (AREA)
  • Pure & Applied Mathematics (AREA)
  • Educational Administration (AREA)
  • Computational Mathematics (AREA)
  • Business, Economics & Management (AREA)
  • Educational Technology (AREA)
  • Theoretical Computer Science (AREA)
  • Treatment Of Fiber Materials (AREA)

Abstract

The invention belongs to the technical field of experimental facilities for teaching demonstration and particularly relates to a Bernoulli equation demonstration instrument. The Bernoulli equation demonstration instrument is composed of an ideal fluid demonstration area and a viscous flow demonstration area, wherein the ideal fluid demonstration area and the viscous flow demonstration area serve as the front side and the back side of the demonstration instrument respectively, the ideal fluid demonstration area comprises a scale plate A, a flow guide pipe A, a demonstration pipe A and a liquid groove, and the viscous flow demonstration area comprises a scale plate B, a funnel, a demonstration pipe B and a flow guide pipe B; in the ideal fluid demonstration area, high-speed air flow passes through the flow guide pipe, so that the Bernoulli equation of ideal fluid is demonstrated by observing the level of the fluid in the demonstration pipe; in the viscous flow demonstration area, the Bernoulli equation of viscous fluid is demonstrated according to the flowing-out speed of the viscous fluid in the demonstration pipe. The Bernoulli equation demonstration instrument is small in size, convenient to carry, easy to operate, high in stability and suitable for being carried into a classroom for demonstration in class.

Description

A kind of Bernoulli equation demonstrator
Technical field
The invention belongs to teaching demonstration technical field of experiment equipment, be specifically related to a kind of demonstrator simultaneously can demonstrating ideal fluid Bernoulli equation and viscous fluid Bernoulli equation.
Background technology
Bernoulli equation is one of equation the most basic in fluid mechanics, has a large amount of application in engineering design.Bernoulli equation has the different forms of expression in ideal fluid and viscous fluid simultaneously, and its essence is the energy conservation relation reflecting internal fluid, and this equation of thorough understanding is learnt fluid mechanics well to student and counted for much.
Because fluid is continuous medium, energy relationship is wherein difficult to display, so there is very large difficulty in student in the process understanding, grasp this basic theories, be badly in need of having a good demonstration instrument to be annotated theory, this blank filled up just by this instrument, have received good classroom teaching effect.
Summary of the invention
The object of this invention is to provide a kind of volume little, easy to carry, simple to operate, good stability, on classroom, the device of the Bernoulli equation in ideal fluid, viscous fluid situation can be demonstrated respectively.
Bernoulli equation demonstrator provided by the invention, structure as shown in Figure 1, 2, 3, is demonstrated district 1 by ideal fluid, viscous fluid demonstration district 2 is formed, and form the pro and con of demonstrator; Wherein:
Ideal fluid demonstration district 1(as shown in Figure 2, is front), comprising: A scaleplate 3, A mozzle 4, A demonstration tube 5, liquid tank 6 four parts.Wherein, liquid tank 6 is positioned at the below in whole demonstration district 1; A scaleplate 3 is positioned at demonstration rear, district; A scaleplate 3 material is not limit, rigidity; A mozzle 4 is made up of the pipe that several sections of diameters are different, is tightly connected, is interconnected, horizontal positioned, and be fixed on A scaleplate between each section of pipe; A demonstration tube 5 is made up of the transparent tube of the identical vertical placement of one group of caliber, and different from the one section of diameter respectively A mozzle in the upper end of every root pipe seals and is communicated with, and lower ending opening, is placed in liquid tank 6.First will inject the liquid of dyeing in liquid tank during demonstration, blow at one end air pump of mozzle, observe the height that in each demonstration tube, liquid rises.
Viscous fluid demonstration district 2(as shown in Figure 3, is reverse side), comprising: B scaleplate 7, funnel 8, B demonstration tube 9, B mozzle 10 4 parts.Wherein, B scaleplate 7 is at the another side of A scaleplate 3, and namely B scaleplate 7 and A scaleplate 3 share the two sides of one block of plate; B mozzle 10 even thickness, horizontal positioned, be positioned at demonstration bottom, district 2, end is equipped with a switch; B demonstration tube 9 is also made up of the transparent tube equidistantly vertically placed of one group of identical caliber, and each B demonstration tube upper end is open, and lower end communicates with B mozzle 10, and connectivity part seals with extraneous, and each pipe of whole group of B demonstration tube 9 is separately fixed on B scaleplate 7; Funnel 8 is connected with on the most limit of B demonstration tube 9.During demonstration, first the switch of mozzle is closed, the viscous fluid of dyeing is slowly injected from funnel, be close to each demonstration tube and be full of, then open switch, observe feature when viscous fluid flows out.
In the present invention, all parts all adopt rigid transparent material.
In the present invention, the inverse (1/d) of each section of ips of A mozzle (4) becomes equal difference relation.
A scaleplate 3 and B scaleplate 7 there is scale mark, or pastes scale paper, help observer more clearly to observe demonstrating effect.
In the present invention, with the method demonstration ideal fluid Bernoulli equation of dyeing liquid level lifting height; With the method demonstration viscous fluid Bernoulli equation of dyeing viscous fluid decline rate.
Demonstrator volume of the present invention is little, easy to carry, simple to operate, good stability, can demonstrate the Bernoulli equation in ideal fluid, viscous fluid situation on classroom respectively.
Accompanying drawing explanation
Fig. 1 is the side view of this demonstrator.
Fig. 2 is the front of this demonstrator, is ideal fluid demonstration zone device schematic diagram.
Fig. 3 is the reverse side of this demonstrator, is viscous fluid demonstration zone device schematic diagram.
Number in the figure: 1 is ideal fluid demonstration district, and 2 is viscous fluid demonstration district, and 3 is A scaleplate, and 4 is A mozzle, and 5 is A demonstration tube, and 6 is liquid tank, and 7 is B scaleplate, and 8 is funnel, and 9 is B demonstration tube, and 10 is B mozzle.
Embodiment
Bernoulli equation demonstrator provided by the invention demonstrates district 1 by: ideal fluid, viscous fluid is demonstrated district 2 and formed, and structure as shown in Figure 1, 2, 3.Wherein:
Ideal fluid demonstration district 1(is as shown in Figure 2), comprise A scaleplate 3, A mozzle 4, A demonstration tube 5, liquid tank 6 four parts.The effect of scaleplate is used for fixing mozzle on the one hand, on the other hand with helping observe phenomena, size is not only to facilitate observation but also facilitate carrying for principle, thickness is not limit, rigidity, therefore in this device, adopt poly (methyl methacrylate) plate as the substrate of scaleplate, size 60cm*50cm, and the scale paper accomplished fluently is affixed on surface; The necessary rigidity of each section of A mozzle, and length is identical, gets about 10cm, adopts plexi-glass tubular in this device, the internal diameter inverse (1/d) of each section of mozzle becomes equal difference relation, is tightly connected, is interconnected, horizontal positioned between each section of pipe; A demonstration tube is made up of transparent, the rigid tube of one group of identical vertical placement, and diameter is not limit, and this device also adopts plexi-glass tubular, and different from the one section of diameter respectively mozzle in the upper end of every root pipe seals and is communicated with, and lower ending opening, is placed in liquid tank; Liquid tank can adopt transparent organic glass to make, size 60cm*6cm*8cm.
First will inject the liquid (such as red ink) of dyeing in liquid tank during demonstration, blow at one end air pump of mozzle, observe the height that in each demonstration tube, liquid rises.
Viscous fluid demonstration district 2(is as shown in Figure 3), comprise B scaleplate 7, funnel 8, B demonstration tube 9, B mozzle 10 4 parts.B scaleplate 7 shares the two sides of one block of plate with A scaleplate 3; Funnel size, material are not limit, and lower end is connected with on the most limit of B demonstration tube; B demonstration tube is also made up of one group of identical rigid transparent pipe equidistantly vertically placed, diameter is not limit, this device also adopts plexi-glass tubular, each B demonstration tube upper end is open, lower end communicates with the B mozzle of an even thickness, connectivity part seals with extraneous, and each pipe of whole group of demonstration tube is separately fixed on B scaleplate; B mozzle horizontal positioned, should be rigidity, transparent material, and this device adopts plexi-glass tubular, and the end of mozzle is equipped with a switch.
During demonstration, first the switch of mozzle is closed, the viscous fluid (such as having mixed the glycerine of red ink) of dyeing is slowly injected from funnel, be close to each demonstration tube and be full of, then open switch, observe feature when viscous fluid flows out.

Claims (6)

1. a Bernoulli equation demonstrator, for demonstrating Bernoulli equation in ideal fluid and viscous fluid situation respectively, is characterized in that demonstrating district by ideal fluid, viscous fluid demonstrates district and form, and form the pro and con of demonstrator; Wherein:
Described ideal fluid demonstration district, comprising: A scaleplate, A mozzle, A demonstration tube, liquid tank four parts; Wherein, liquid tank is positioned at the below in whole demonstration district; A scaleplate there is scale mark; A mozzle is made up of the pipe that several sections of diameters are different, is tightly connected, is interconnected, horizontal positioned, and be fixed on A scaleplate between each section of pipe; A demonstration tube is made up of the transparent tube of the identical vertical placement of one group of caliber, and different from the one section of diameter respectively A mozzle in the upper end of every root pipe seals and is communicated with, and lower ending opening, is placed in liquid tank;
Described viscous fluid demonstration district, comprising: B scaleplate, funnel, B demonstration tube, B mozzle four parts; Wherein, B scaleplate is at the another side of A scaleplate, and namely B scaleplate and A scaleplate share one block of plate; B mozzle even thickness, horizontal positioned, be positioned at demonstration bottom, district, end is equipped with a switch; B demonstration tube is made up of the transparent tube equidistantly vertically placed of one group of identical caliber, and each B demonstration tube upper end is open, and lower end communicates with B mozzle, and connectivity part seals with extraneous, and each pipe of B demonstration tube is separately fixed on B scaleplate; Funnel is connected with on the most limit of B demonstration tube.
2. Bernoulli equation demonstrator as claimed in claim 1, is characterized in that all parts all adopt rigid transparent material.
3. Bernoulli equation demonstrator as claimed in claim 1, is characterized in that each section of ips inverse forming A mozzle becomes equal difference relation.
4. Bernoulli equation demonstrator as claimed in claim 1, is characterized in that the method demonstration ideal fluid Bernoulli equation with dyeing liquid level lifting height.
5. Bernoulli equation demonstrator as claimed in claim 1, is characterized in that the method demonstration viscous fluid Bernoulli equation by dyeing viscous fluid decline rate.
6. Bernoulli equation demonstrator as claimed in claim 1, is characterized in that A scaleplate and B scaleplate have scale mark, or pastes scale paper, helps observer more clearly to observe demonstrating effect.
CN201410501877.9A 2014-09-27 2014-09-27 A kind of Bernoulli equation demonstrator Expired - Fee Related CN104282203B (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
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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CN2263381Y (en) * 1996-03-20 1997-09-24 刘尚晋 Bernoulli equation experimental instrument
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CN204189353U (en) * 2014-09-27 2015-03-04 复旦大学 A kind of Bernoulli equation demonstrator

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CN2263381Y (en) * 1996-03-20 1997-09-24 刘尚晋 Bernoulli equation experimental instrument
RU2339084C1 (en) * 2007-06-26 2008-11-20 Государственное образовательное учреждение высшего профессионального образования "Орловский государственный технический университет" (ОрелГТУ) Device of bench automated laboratory complex for studying hydrodynamic processes witt measurements and processing of results in program medium lab view
CN201117133Y (en) * 2007-11-07 2008-09-17 徐伟 Multifunctional fluid mechanics experimental installation
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CN202816226U (en) * 2012-08-06 2013-03-20 韩元春 Bernoulli equation experimental device
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Cited By (2)

* Cited by examiner, † Cited by third party
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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