JPH0629726B2 - Measuring method of outer diameter of thin metal wire - Google Patents
Measuring method of outer diameter of thin metal wireInfo
- Publication number
- JPH0629726B2 JPH0629726B2 JP28437888A JP28437888A JPH0629726B2 JP H0629726 B2 JPH0629726 B2 JP H0629726B2 JP 28437888 A JP28437888 A JP 28437888A JP 28437888 A JP28437888 A JP 28437888A JP H0629726 B2 JPH0629726 B2 JP H0629726B2
- Authority
- JP
- Japan
- Prior art keywords
- metal wire
- thin metal
- wire
- diameter
- outer diameter
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Lifetime
Links
- 229910052751 metal Inorganic materials 0.000 title claims description 42
- 239000002184 metal Substances 0.000 title claims description 42
- 238000000034 method Methods 0.000 title claims description 14
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims description 14
- 239000011247 coating layer Substances 0.000 claims description 5
- 230000020169 heat generation Effects 0.000 claims description 3
- 238000010438 heat treatment Methods 0.000 claims description 3
- 239000012530 fluid Substances 0.000 claims description 2
- BASFCYQUMIYNBI-UHFFFAOYSA-N platinum Chemical compound [Pt] BASFCYQUMIYNBI-UHFFFAOYSA-N 0.000 description 7
- 230000003068 static effect Effects 0.000 description 6
- 239000011248 coating agent Substances 0.000 description 4
- 238000000576 coating method Methods 0.000 description 4
- 229910001111 Fine metal Inorganic materials 0.000 description 3
- 238000000137 annealing Methods 0.000 description 3
- 230000000704 physical effect Effects 0.000 description 3
- 230000001133 acceleration Effects 0.000 description 2
- 230000005540 biological transmission Effects 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 238000001125 extrusion Methods 0.000 description 1
- 230000004907 flux Effects 0.000 description 1
- 230000005484 gravity Effects 0.000 description 1
- 230000001678 irradiating effect Effects 0.000 description 1
- WABPQHHGFIMREM-UHFFFAOYSA-N lead(0) Chemical compound [Pb] WABPQHHGFIMREM-UHFFFAOYSA-N 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 238000005259 measurement Methods 0.000 description 1
- 229910052697 platinum Inorganic materials 0.000 description 1
- 238000004441 surface measurement Methods 0.000 description 1
Landscapes
- Length Measuring Devices With Unspecified Measuring Means (AREA)
- Investigating Or Analyzing Materials By The Use Of Electric Means (AREA)
Description
【発明の詳細な説明】 （産業上の利用分野） 本発明は、金属細線の直径を測定する方法に関する。TECHNICAL FIELD The present invention relates to a method for measuring the diameter of a thin metal wire.
（従来の技術） 金属細線は、例えばコイルや配線用の電導線などに利用
され、工業的利用価値がとても高いものである。(Prior Art) A thin metal wire is used in, for example, a coil or a conductive wire for wiring, and has a very high industrial utility value.
かかる金属細線は、押し出し加工などで製造されるのが
一般的であるが、その加工工程中にダイス径が広がり、
線材の直径が加工の最初と最後で１０％以上も変わって
しまうことがある。Such a thin metal wire is generally manufactured by extrusion processing, etc., but the die diameter expands during the processing step,
The diameter of the wire may change by 10% or more between the beginning and the end of processing.
従って、製造過程で直径を管理制御することが困難であ
るため、精密機器に使用される金属細線については、で
き上がった都度金属細線の直径を直接測定することによ
って、線材の品質管理を行っている。Therefore, since it is difficult to control and control the diameter in the manufacturing process, for the fine metal wires used for precision equipment, the quality of the fine wire is controlled by directly measuring the diameter of the fine metal wires as they are completed. .
従来、この直径の測定方法として、例えば特開昭４７−
４１８６０号公報に示されるような、レーザ光線を細線
に照射しその回析像の輝点間距離から細線径を算出する
方法や、特開昭５０−３４２６１号公報に示されるよう
な、予め用意された電極と比測定物との間の電気容量か
ら細線径を測定する方法が提案されている。Conventionally, as a method of measuring this diameter, for example, JP-A-47-
No. 41860, a method of irradiating a thin line with a laser beam and calculating the thin line diameter from the distance between the bright spots of the diffraction image, or a method prepared in advance as shown in Japanese Patent Laid-Open No. 50-34261 There has been proposed a method of measuring the thin wire diameter from the capacitance between the electrode and the measured object.
また、その他にも細線の電気抵抗値などから所定長さに
対する平均径を算出する方法が知られている。In addition, a method of calculating an average diameter for a predetermined length from the electric resistance value of a thin wire is known.
（発明が解決しようとする課題） しかしながら、レーザ光線や電気容量を利用する方法
は、細線の一断面のみの直径しか測ることができない。(Problem to be Solved by the Invention) However, the method using a laser beam or an electric capacity can measure only the diameter of one cross section of a thin wire.
特に、ダイスで押し出し成形された金属細線の表面には
かなりの凹凸が形成されて細線の長手方向に断面積が変
化しているので、細線の抵抗値などの物性値を知るため
には、適当な長さ単位における平均の直径を知る必要が
あるが、この方法では平均径を測定できないので、細線
の物性値を知ることができない。In particular, since the surface of the metal wire extruded with a die has considerable unevenness and the cross-sectional area changes in the longitudinal direction of the wire, it is appropriate to know the physical properties such as the resistance value of the wire. It is necessary to know the average diameter in various length units, but since this method cannot measure the average diameter, it is not possible to know the physical property values of thin wires.
また、電気抵抗値を利用する方法によれば所定長さに対
する平均径を算出できるが、金属の抵抗値の温度計数が
経時的に変化し、またアニーリング等の前後でも抵抗値
が大きく変化するために、正確な直径を求めることは困
難である。In addition, according to the method of using the electric resistance value, the average diameter for a predetermined length can be calculated, but the temperature coefficient of the resistance value of the metal changes with time, and the resistance value also largely changes before and after annealing or the like. Moreover, it is difficult to obtain an accurate diameter.
さらに、電気抵抗法では外表面に被覆層が形成された金
属細線の場合に、被覆層を含む外直径を測定することが
困難である。Further, in the case of a metal thin wire having a coating layer formed on the outer surface, it is difficult to measure the outer diameter including the coating layer by the electric resistance method.
（課題を解決するための手段） 本発明は以上の技術的課題を解決し、金属細線の平均の
外直径を、また、被覆層を有する場合は被覆を含む平均
外直径を正確に測定できる方法を提供することを目的と
するものであって、純水中に鉛直に固定される金属細線
を通電加熱し、その平衡状態において金属細線の温度と
発熱量と流体温度を求め、自然対流の熱伝達式を用いて
金属細線の外直径を、もしくは被覆層を有する場合は被
覆を含む外直径を算出する金属細線の外直径の測定方法
である。(Means for Solving the Problems) The present invention solves the above technical problems and is a method capable of accurately measuring the average outer diameter of a thin metal wire and, in the case of having a coating layer, the average outer diameter including the coating. The purpose is to provide a metal thin wire that is vertically fixed in pure water by electric current heating, and in its equilibrium state, calculate the temperature, heat generation amount, and fluid temperature of the metal thin wire to determine the heat of natural convection. This is a method for measuring the outer diameter of a thin metal wire, which uses a transmission equation to calculate the outer diameter of the thin metal wire, or the outer diameter including a coating when a coating layer is provided.
（作用） 図面に示すように、純水（Ｆ）中に長さＬ、直径Ｄの円
柱状の金属細線（Ｃ）を鉛直に固定し、これを通電加熱
すると、金属細線（Ｃ）周囲の純水（Ｆ）が加熱された
ために密度差ができ、純水（Ｆ）中に自然対流が生じ
る。(Operation) As shown in the drawing, a cylindrical metal thin wire (C) having a length L and a diameter D is vertically fixed in pure water (F), and when this is electrically heated, the metal thin wire (C) around Since the pure water (F) is heated, a density difference is created, and natural convection occurs in the pure water (F).
この時、同時に金属細線（Ｃ）の表面（Ｓ）に静止伝導
膜（１）が形成され、この静止伝導膜（１）を通過する
熱流束Ｑsは次式で与えられる。At this time, the static conductive film (1) is simultaneously formed on the surface (S) of the thin metal wire (C), and the heat flux Q s passing through this static conductive film (1) is given by the following equation.
ｒ：金属細線（Ｃ）の中心軸からの距離 θ：温度 λ：純水（Ｆ）の熱伝導率 ここで、 Ｄf：静止伝導膜（１）の外径 θs：金属細線（Ｃ）の表面温度 θ∞：純水（Ｆ）の温度 、式から、 また、熱伝達の定義から、 α：熱伝達率 従って、、式から、金属細線周囲の熱伝達式 Ｎｕ：ヌッセルト数 が導かれる。ここで、 一方、静止伝導膜（１）の厚さδは Ｄf＝Ｄ＋２δ で与えられるので、、及び式から となる。 r: distance from the central axis of the thin metal wire (C) θ: temperature λ: thermal conductivity of pure water (F) where: D f : outer diameter of the static conductive film (1) θ s : surface temperature of the thin metal wire (C) θ ∞: temperature of pure water (F) Also, from the definition of heat transfer, α: Heat transfer coefficient Therefore, from the formula, the heat transfer formula around the thin metal wire Nu: Nusselt number is derived. here, On the other hand, since the thickness δ of the static conductive film (1) is given by D f = D + 2δ, Becomes
結局、、式から次式が導かれる。After all, the following formula is derived from the formula.
ここで、 Gr：グラフホッフ数 Pr：プラントル数 Ｎｕｐ：鉛直平板のＮｕ ［式は、甲藤好郎著“伝熱概論”PP44〜81、1973、養
賢堂による］ であって、 ｇ：重力加速度 β：体積膨張率 ν：動粘性係数 である。ここで、式のλｆ、式のβｆ、νｆ、及び
式のνｆ、ａｆの添字ｆはそれぞれ以下の式で定義
される温度θ＝θｆにおける値をとることを示す。 here, Gr: Graph Hoff number Pr: Prandtl number Nup: Nu of a vertical plate [Formula is "Introduction to heat transfer" by Yoshiro Katou PP44-81, 1973, by Yokendo] g: gravity acceleration β: volume expansion coefficient ν: kinematic viscosity coefficient Is. Here, λ f in the equation, β f and ν f in the equation, and subscripts f in ν f and a f in the equation indicate that they take values at the temperature θ = θ f defined by the following equations.
一方、金属細線（Ｃ）の周囲に形成された静止伝導膜の
平均温度θｆは、式より となり、ここで、内部発熱Ｗを有する定常熱伝導方程式
を金属細線（Ｃ）に適用すれば、 λw：金属細線（Ｃ）の熱伝導率 となり、式より 従って、 θw：金属細線（Ｃ）の平均温度 となる。On the other hand, the average temperature θ f of the static conductive film formed around the thin metal wire (C) is Therefore, if the steady heat conduction equation having the internal heat generation W is applied to the thin metal wire (C), λ w : Thermal conductivity of thin metal wire (C) Therefore, θ w : Average temperature of thin metal wire (C) Becomes
ここで、金属細線（Ｃ）の電気抵抗値をＲw、金属細線
（Ｃ）に通電される電流値をｉwとすると、 また、一般に、 が成りたつ。Here, if the electric resistance value of the thin metal wire (C) is R w and the current value applied to the thin metal wire (C) is i w , Also, in general, Is realized.
但し、 Ｖw：金属細線（Ｃ）両端の電位差 そしてさらに、純水については各々の物性値と温度との
関係式が既知であり、 λ（θ）＝0.5617+2.005×10-3θ−8.49×10-6θ２ ［Ｗ／m・k］ … γ（θ）＝(1.792-6.120×10-2θ+1.516×10-3θ２ −2.664×10-5θ３+2.989×10-7θ４ −1.868×10-9θ５+4885×10-12θ６)×10-6 ［m2／ｓ］ … ｃ（θ）＝(4.217-3.497×10-3θ+1.167×10-5θ２ −1.879×10-6θ３+1.541×10-8θ４ −4.818×10-11θ５)×103 ［Ｊ／kg・k］ … ρ（θ）＝(1.0000+1.7248×10-5θ-5.8752 ×10-6θ２+1.5510×10-8θ３)×103 ［kg／m3］ … β（θ）＝-5.196×10-6+1.499×10-5θ −1.230×10-7θ２+5.441×10-10θ３ −2.704×10-14θ４ ［１／ｋ］ … で表される。However, V w : potential difference between both ends of the thin metal wire (C) Furthermore, regarding pure water, the relational expression between each physical property value and temperature is known, and λ (θ) = 0.5617 + 2.005 × 10 −3 θ−8.49 × 10 −6 θ 2 [W / m · k] … Γ (θ) = (1.792-6.120 × 10 −2 θ + 1.516 × 10 −3 θ 2 −2.664 × 10 −5 θ 3 + 2.989 × 10 −7 θ 4 −1.868 × 10 −9 θ 5 + 4885 × 10 -12 θ 6 ) × 10 -6 [m 2 / s] ... c (θ) = (4.217-3.497 × 10 -3 θ + 1.167 × 10 -5 θ 2 −1.879 × 10 -6 θ 3 + 1.541 × 10 -8 θ 4 −4.818 × 10 -11 θ 5 ) × 10 3 [J / kg ・ k]… ρ (θ) = (1.0000 + 1.7248 × 10 -5 θ-5.8752 × 10 -6 θ 2 + 1.5510 × 10 -8 θ 3 ) × 10 3 [kg / m 3 ] ... β (θ) =-5.196 × 10 -6 + 1.499 × 10 -5 θ −1.230 × 10 -7 θ 2 + 5.441 × 10 -10 θ 3 −2.704 × 10 −14 θ 4 [1 / k]… It is represented by.
従って、温度θ∞の純水（Ｆ）中で直径Ｄが未知の金属
細線（Ｃ）［電気抵抗係数Ｒ0、Ｒ1、Ｒ2及び長さＬは
何れも既知］を鉛直に固定し、電流ｉwで通電加熱し、
金属細線（Ｃ）両端の電位差Ｖwを測定すれば、〜
式から熱伝導率α、金属細線（Ｃ）の表面測定θｓが、
〜、、〜式から静止伝導平均温度θｆにおけ
る純水（Ｆ）の熱伝導率λｆ、温度伝導率ａｆ、動粘性
率νｆ、体積膨張率βｆが算出され、さらに重力加速度
ｇは一定と仮定できるため、ヌッセルト数Nu、グラスホ
ッフ数Gr、プラントル数Prの関係式において、〜
式から金属細線（Ｃ）の直径Ｄのみを未知数として導け
る。Therefore, a fine metal wire (C) of unknown diameter D (electrical resistance coefficients R 0 , R 1 , R 2 and length L are all known) is fixed vertically in pure water (F) at a temperature of θ∞. Conduct current heating with current i w ,
If the potential difference V w between both ends of the thin metal wire (C) is measured,
From the formula, the thermal conductivity α and the surface measurement θ s of the thin metal wire (C) are
Thermal conductivity lambda f of pure water (F) From ,, ~ formula in the still conductive average temperature theta f, temperature conductivity a f, kinematic viscosity [nu f, the volume expansion coefficient beta f is calculated, further gravitational acceleration g Can be assumed to be constant, so in the relational expression of Nusselt number Nu, Grashof number Gr, and Prandtl number Pr,
Only the diameter D of the thin metal wire (C) can be derived as an unknown from the equation.
従って、これらの値、即ち、式で与えられる実測値
（式の左辺）と理論値（式の右辺）が等しくなるよ
うなＤ値を、λｆ値をパラメーターとする収束計算など
によって数値的に算出すれば、金属細線（Ｃ）の直径Ｄ
の値が得られるのである。Therefore, these values, that is, the D value at which the measured value (left side of the equation) given by the equation and the theoretical value (right side of the equation) are equal, are numerically calculated by convergence calculation using the λ f value as a parameter. If calculated, the diameter D of the thin metal wire (C)
The value of is obtained.
なお、この場合、λｆの初期値としては における値をとることが好ましい。In this case, the initial value of λ f is It is preferable to take the value of.
また、金属細線の表面に被覆を有するものにおいては、
上述のＤを被覆を含めた外直径とすれば良い。Further, in the case where the surface of the thin metal wire has a coating,
The above-mentioned D may be the outer diameter including the coating.
（実施例） 以下本発明の実施例として、発明者らが実際に行った測
定結果を示す。(Example) Hereinafter, as an example of the present invention, a measurement result actually performed by the inventors will be shown.
直径の公称値が１００μ及び３０μで加工された白金細
線［アニーリング処理無し］の電気抵抗係数Ｒ0、Ｒ1、
Ｒ2を、温度定数［０、０１℃、水の三重点］及び、５
０℃〜２００℃の各温度域における抵抗測定値にもとづ
いて下の表のように算出した。Electrical resistance coefficients R 0 , R 1 , of platinum fine wires (without annealing treatment) processed with nominal diameters of 100 μ and 30 μ
R 2 is a temperature constant [0, 01 ° C., triple point of water] and 5
It was calculated as shown in the table below based on the measured resistance value in each temperature range of 0 ° C to 200 ° C.
次に、直径の公称値が１００μの白金線を純水中に鉛直
固定してｉw＝0.40007Ａ、θ∞＝20.52℃で白金線両端
の電位差Ｖwを測定し、〜式から θｓ＝２２．７９（℃） α＝３．６１×１０3（Ｗ／m2K） を得た。 Next, a platinum wire having a nominal diameter of 100 μ was vertically fixed in pure water, and the potential difference V w between both ends of the platinum wire was measured at i w = 0.40007 A and θ∞ = 20.52 ° C. From the formula, θ s = 22.79 (° C.) α = 3.61 × 10 3 (W / m 2 K) was obtained.
また、直径の公称値が30μの白金線についてｉw＝0.400
07Ａ、θ∞＝22.73℃で、同様にして θｓ＝５２．６４（℃） α＝８．７２×１０3（Ｗ／m2K） を得た。Also, for a platinum wire with a nominal diameter of 30μ i w = 0.400
At 07 A, θ ∞ = 22.73 ° C., θ s = 52.64 (° C.) α = 8.72 × 10 3 (W / m 2 K) was similarly obtained.
そして、31式からθｆを定め、最後に、、、式
からＤをパラメーターとする収束計算を行い、公称１０
０μの白金線の直径は８５．９μ、また公称３０μ白金
線の直径は３３．７μであるという測定結果を得た。Then, θ f is determined from the equation 31, and finally, the convergence calculation with D as a parameter is performed from the equation, and the nominal 10
It was obtained that the diameter of the platinum wire of 0μ is 85.9μ and the diameter of the platinum wire of nominal 30μ is 33.7μ.
（発明の効果） 以上本発明によれば、任意の長さにおいて金属細線の特
性を知る上で重要な平均直径を測定できる。(Effect of the Invention) According to the present invention as described above, it is possible to measure the average diameter which is important for knowing the characteristics of the metal thin wire at any length.
また、金属の抵抗値の温度計数が変化したり、アニーリ
ング等を行った場合であっても、正確な直径を求めるこ
とができる。Further, even when the temperature coefficient of the resistance value of the metal changes or when annealing or the like is performed, an accurate diameter can be obtained.
従って、金属細線を利用するリード線の抵抗値や熱伝達
率等の測定用センサーの精度の向上を図れるという特徴
がある。Therefore, there is a feature that it is possible to improve the accuracy of the sensor for measuring the resistance value and the heat transfer coefficient of the lead wire using the thin metal wire.
図面は、純水中に配設された金属細線を表すものであ
る。 Ｃ……金属細線 Ｄ……金属細線の外直径 Ｆ……純水 Ｌ……金属細線の長さ Ｓ……金属細線の表面 １……静止伝導膜The drawing shows a thin metal wire arranged in pure water. C ... Metal fine wire D ... Metal fine wire outer diameter F ... Pure water L ... Metal fine wire length S ... Metal fine wire surface 1 ... Static conductive film
Claims (1)
被覆層を有する、もしくは有しない金属細線を通電加熱
し、その平衡状態において金属細線の温度と発熱量と流
体温度を求め、自然対流の熱伝達式を用いて該金属細線
の外直径を算出する、金属細線の外直径の測定方法。1. A thin metal wire having or without a non-heating coating layer on the outer surface which is vertically fixed in pure water is electrically heated, and the temperature, heat generation amount, and fluid temperature of the thin metal wire are determined in the equilibrium state. A method for measuring the outer diameter of a thin metal wire, which calculates the outer diameter of the thin metal wire using a heat transfer equation of natural convection.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP28437888A JPH0629726B2 (en) | 1988-11-10 | 1988-11-10 | Measuring method of outer diameter of thin metal wire |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP28437888A JPH0629726B2 (en) | 1988-11-10 | 1988-11-10 | Measuring method of outer diameter of thin metal wire |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPH02129506A JPH02129506A (en) | 1990-05-17 |
| JPH0629726B2 true JPH0629726B2 (en) | 1994-04-20 |
Family
ID=17677813
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP28437888A Expired - Lifetime JPH0629726B2 (en) | 1988-11-10 | 1988-11-10 | Measuring method of outer diameter of thin metal wire |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPH0629726B2 (en) |
-
1988
- 1988-11-10 JP JP28437888A patent/JPH0629726B2/en not_active Expired - Lifetime
Also Published As
| Publication number | Publication date |
|---|---|
| JPH02129506A (en) | 1990-05-17 |
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