CN107885920A - A kind of Optimization Design of square-section radiator fin - Google Patents
A kind of Optimization Design of square-section radiator fin Download PDFInfo
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- CN107885920A CN107885920A CN201711026819.5A CN201711026819A CN107885920A CN 107885920 A CN107885920 A CN 107885920A CN 201711026819 A CN201711026819 A CN 201711026819A CN 107885920 A CN107885920 A CN 107885920A
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2111/00—Details relating to CAD techniques
- G06F2111/10—Numerical modelling
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/08—Thermal analysis or thermal optimisation
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- Heat-Exchange Devices With Radiators And Conduit Assemblies (AREA)
Abstract
The invention discloses a kind of Optimization Design of square-section radiator fin, comprise the following steps：The metal material and the operating temperature of fin selected according to radiator fin, the thermal conductivity for taking metal material is looked into from the hot physical property table of material；Using the universal testing method in thermal conduction study, the free convection surface coefficient of heat transfer between fin and surrounding air is drawn；Rib thickness is chosen according to being actually needed for radiator working environment, it is high to calculate rib：According to heat transfer theory, the calculating formula of square-section Fin amount is obtained；Using the method that extreme value is sought in calculus, it is zero to rib thickness derivation to make heat dissipation capacity, obtains transcendental equation, and the high relational expression between rib thickness of rib is drawn with numerical method；So that rib is thick and rib height is as short side and long side；According to being actually needed selection rib width；Square-section fin is installed on radiator body；The present invention, to the cross sectional shape careful design of fin, is optimal effect by mathematical analysis.
Description
Technical field
The invention belongs to fansink designs field, and in particular to a kind of optimization design side of square-section radiator fin
Method.
Background technology
Finned radiator is a kind of most commonly seen heat sink format, and radiating can be made by way of extending area of dissipation
The heat dissipation capacity of device is improved.The shape of radiator fin is varied, and radiating effect is also different, and square-section is radiated
Device fin is the simplest in all rib structures, and processing is the most easy, so being generally used always.For square-section
Radiator fin, when rib width and all identical square-section area, fin volume is identical, and metal wastage is identical, but square
The shape of tee section is different, and the heat dissipation capacity of fin but will be different.So from the angle of energy-saving material-saving, should be by rationally setting
The cross sectional shape of fin is counted, namely rationally designs the rib height and rib thickness of fin, makes it in the case of metal wastage identical, has
There is the heat dissipation capacity of maximum, so that whole heat exchanger has given play to the radiating effect of maximum.
The content of the invention
Technical problem solved by the invention is to provide a kind of Optimization Design of square-section radiator fin, with
Solve the problems, such as that existing rectangular radiator radiating effect is non-optimal.
The technical solution for realizing the object of the invention is：
A kind of Optimization Design of square-section radiator fin, comprises the following steps：
The operating temperature of step 1, the metal material selected according to radiator fin and fin, from the hot physical property table of material
In look into the thermal conductivity λ for taking this metal material；
Step 2, using the universal testing method in thermal conduction study, or rule of thumb formula calculate, draw fin and surrounding
Free convection surface coefficient of heat transfer h between air；
Step 3, rib thickness δ chosen according to being actually needed for radiator working environment, calculate rib high H：According to heat transfer theory,
Obtain the calculating formula of square-section Fin amount；Using the method for seeking extreme value in calculus, the heat dissipation capacity is made to be to rib thickness derivation
Zero, transcendental equation is obtained, the relational expression between the high H of rib and rib thickness δ is drawn with numerical method；
Step 4, using rib is thick and rib height as square-section short side and long side；
Step 5, rib width L chosen according to the size of radiator body and being actually needed for design work；
Step 6, by rib thickness be δ, the square-section fin that a height of H of rib, rib width are L is installed on radiator body.
The present invention compared with prior art, its remarkable advantage：
The invention provides a kind of optimal-design method of square-section radiator fin, to internal factor and outer strip
On the basis of the analysis and test of part, by Mathematical Method, essence is carried out to the cross sectional shape of square-section radiator fin
Really design, makes it in the case of metal wastage identical, has maximum heat dissipation capacity, is optimal effect, accomplishes to save material section
Energy.
The present invention is described in further detail below in conjunction with the accompanying drawings.
Brief description of the drawings
Fig. 1 is the structural representation of square-section fin and radiator body.
Fig. 2 is the flow chart of the Optimization Design of the square-section radiator fin of the present invention.
Embodiment
In order to illustrate technical scheme and technical purpose, below in conjunction with the accompanying drawings and specific embodiment is done to the present invention
It is further to introduce.
Fig. 1 is the structural representation of square-section fin and radiator body, wherein, square-section fin 2 is vertically arranged
In the surface of radiator body 1.
With reference to Fig. 2, a kind of Optimization Design of square-section radiator fin of the invention, comprise the following steps：
The operating temperature of step 1, the metal material selected according to radiator fin and fin, from the hot physical property table of material
In look into the thermal conductivity λ [(W/ (mK)] for taking this metal material.
Step 2, using the universal testing method in thermal conduction study, or rule of thumb formula calculate, draw fin and surrounding
Free convection surface coefficient of heat transfer h [(W/ (m between air2·K)]。
Step 3, according to radiator working environment it is actually needed that to choose rib thick, it is high calculates rib：According to heat transfer theory, obtain
To the calculating formula of square-section Fin amount；Using the method that extreme value is sought in calculus, it is zero to rib thickness derivation to make heat dissipation capacity,
Transcendental equation is obtained, the relational expression between the high H of rib and rib thickness δ is drawn with numerical method.
3.1 calculate square-section Fin amount：
If the heat dissipation capacity of the square-section fin is Q (W), fin bed temperature t0, environment temperature tf, square-section
Area is A (m2), then gained knowledge according to heat transfer, the calculating formula of square-section Fin amount is：
Wherein, th is the symbol of hyperbolic tangent function, and L is rib width；
3.2nd, transcendental equation is obtained：
Due to A=H δ, when the timings of area A mono- of square-section, heat dissipation capacity H and rib thickness δ are in inverse relation between the two, if
Make Q values maximum, the method that extreme value is sought in calculus need to be used, by heat dissipation capacity Q to rib thickness δ derivations, and make it equal to zero, namely
DQ/d δ=0
Relation above formula is substituted into formula (1), can be solved
Wherein, sh is the symbol of hyperbolic sine function, and ch is the symbol of hyperbolic cosine function.
3.3rd, the high relational expression between rib thickness of rib is calculated：
With this transcendental equation (2) of numerical methods of solving, can draw
The relational expression between the high H of rib and rib thickness δ can be drawn accordingly
Step 4, short side and long side using rib thickness δ (m) with the high H (m) of rib as square-section, it is ensured that in section
In the case of area identical, fin has maximum heat dissipation capacity.
Step 5, rib width L (m) chosen according to the size of radiator body and being actually needed for design work.
Step 6, by rib thickness be δ, the square-section fin that a height of H of rib, rib width are L is installed on radiator body：Installation
Technique is welding, and should try one's best during welding reduction weld seam.It need to ensure that the surface of the high H directions of rib and radiator body is hung down when fin is installed
Directly.One group of fin is installed, the quantity of fin determines according to the needs of heat dissipation capacity and the length of heat exchanger on every radiator.Peace
When filling one group of fin, the clearance distance between two panels fin need to be not less than twice of boundary layer thickness, to reduce air nature
Heat dissipation capacity caused by convection current is not smooth declines.
The present invention carries out careful design to the cross sectional shape of square-section radiator fin, while in view of not making during processing
The various factors that heat dissipation capacity declines, makes it in the case of metal wastage identical, has maximum heat dissipation capacity, is optimal effect
Fruit, saving metal material and energy is accomplished.
Claims (6)
1. a kind of Optimization Design of square-section radiator fin, it is characterised in that comprise the following steps：
The operating temperature of step 1, the metal material selected according to radiator fin and fin, looked into from the hot physical property table of material
Take the thermal conductivity λ of this metal material；
Step 2, using the universal testing method in thermal conduction study, or rule of thumb formula calculate, draw fin and surrounding air
Between free convection surface coefficient of heat transfer h；
Step 3, rib thickness δ chosen according to being actually needed for radiator working environment, calculate rib high H：According to heat transfer theory, obtain
The calculating formula of square-section Fin amount；Using the method that extreme value is sought in calculus, it is zero to rib thickness derivation to make heat dissipation capacity, is obtained
To transcendental equation, the relational expression between the high H of rib and rib thickness δ is drawn with numerical method；
Step 4, using rib thickness H and the high δ of rib as the short side and long side of square-section；
Step 5, rib width L chosen according to the size of radiator body and being actually needed for design work；
Step 6, by rib thickness be δ, the square-section fin that a height of H of rib, rib width are L is installed on radiator body.
A kind of 2. Optimization Design of square-section radiator fin as claimed in claim 1, it is characterised in that step 3
In, calculating square-section Fin amount detailed process is：
If the heat dissipation capacity of the square-section fin is Q, fin bed temperature t0, environment temperature tf, the area of square-section is A
(m2), then gained knowledge according to heat transfer, the calculating formula of square-section Fin amount is：
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Wherein, th is the symbol of hyperbolic tangent function, and L is rib width.
A kind of 3. Optimization Design of square-section radiator fin as claimed in claim 2, it is characterised in that step 3
In, obtaining transcendental equation detailed process is：
Due to A=H δ, when the timings of area A mono- of square-section, heat dissipation capacity H and rib thickness δ are between the two inverse relation, to make
Q values are maximum, need to use the method that extreme value is sought in calculus, by heat dissipation capacity Q to rib thickness δ derivations, and make it equal to zero, namely
DQ/d δ=0
Relation above formula is substituted into formula (1), can be solved
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Wherein, sh is the symbol of hyperbolic sine function, and ch is the symbol of hyperbolic cosine function.
A kind of 4. Optimization Design of square-section radiator fin as claimed in claim 3, it is characterised in that step 3
In, calculating the high relational expression detailed process between rib thickness of rib is：
With this transcendental equation (2) of numerical methods of solving, can draw
<mrow>
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The relational expression between the high H of rib and rib thickness δ can be drawn accordingly
5. a kind of Optimization Design of square-section radiator fin as described in claim 1-4 Arbitrary Terms, its feature exist
In the mounting means of step 6 fin is：Mounting process is welding, need to ensure the high H directions of rib and radiator body when installing fin
Surface it is vertical；One group of fin is installed, the quantity of fin is according to the needs of heat dissipation capacity and the length of heat exchanger on every radiator
To determine.
A kind of 6. Optimization Design of square-section radiator fin as claimed in claim 5, it is characterised in that installation one
When group fin, the clearance distance between two panels fin need to be not less than twice of boundary layer thickness.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201711026819.5A CN107885920A (en) | 2017-10-27 | 2017-10-27 | A kind of Optimization Design of square-section radiator fin |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201711026819.5A CN107885920A (en) | 2017-10-27 | 2017-10-27 | A kind of Optimization Design of square-section radiator fin |
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| Publication Number | Publication Date |
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| CN107885920A true CN107885920A (en) | 2018-04-06 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201711026819.5A Pending CN107885920A (en) | 2017-10-27 | 2017-10-27 | A kind of Optimization Design of square-section radiator fin |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112566439A (en) * | 2019-09-10 | 2021-03-26 | 惠州视维新技术有限公司 | Radiator, radiator manufacturing method and display device |
Citations (4)
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|---|---|---|---|---|
| DE20219975U1 (en) * | 2002-12-24 | 2003-03-13 | Yeou Chich Corp | Optimized heat sink for power supply unit has diagonal notch in heat sink for receiving heat-resistant folded sheet metal to which finned body is attached |
| CN101013615A (en) * | 2006-12-23 | 2007-08-08 | 特变电工(德阳)电缆股份有限公司 | Rectangular cross section stranded conductor and fabrication method and apparatus thereof |
| CN102646146A (en) * | 2012-04-24 | 2012-08-22 | 北京航空航天大学 | Optimum design method of heat sink based on Taguchi method |
| CN105320822A (en) * | 2015-12-07 | 2016-02-10 | 天津工业大学 | Double-objective comprehensive optimization design method for LED radiator structure parameters |
-
2017
- 2017-10-27 CN CN201711026819.5A patent/CN107885920A/en active Pending
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| DE20219975U1 (en) * | 2002-12-24 | 2003-03-13 | Yeou Chich Corp | Optimized heat sink for power supply unit has diagonal notch in heat sink for receiving heat-resistant folded sheet metal to which finned body is attached |
| CN101013615A (en) * | 2006-12-23 | 2007-08-08 | 特变电工(德阳)电缆股份有限公司 | Rectangular cross section stranded conductor and fabrication method and apparatus thereof |
| CN102646146A (en) * | 2012-04-24 | 2012-08-22 | 北京航空航天大学 | Optimum design method of heat sink based on Taguchi method |
| CN105320822A (en) * | 2015-12-07 | 2016-02-10 | 天津工业大学 | Double-objective comprehensive optimization design method for LED radiator structure parameters |
Non-Patent Citations (1)
| Title |
|---|
| 邵健中: "风冷散热器最佳结构尺寸的计算", 《科技简报》 * |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112566439A (en) * | 2019-09-10 | 2021-03-26 | 惠州视维新技术有限公司 | Radiator, radiator manufacturing method and display device |
| CN112566439B (en) * | 2019-09-10 | 2022-11-15 | 惠州视维新技术有限公司 | Radiator, radiator manufacturing method and display device |
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Application publication date: 20180406 |
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