恒温平板を利用する非定常法による布の熱伝導率の測定

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  • A Transient Method for Determinig the Thermal Conductivity of Fabrics by a Constant Temperature Slab
  • コウオン ヘイバン オ リヨウスル ヒ テイジョウホウ ニヨル ヌノ ノ ネツ

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A study has been made to determine the thermal conductivity of a thin specimen of fabrics placed between a standard sample and a slab under a predetermined temperature by heating the slab stepwise. Following results have been obtained :<BR>(1) Assuming that an initial temperature beeing zero degree, the portion of x=-l is maintained at a temperature ct during 0<t<t1 and is maintained at a temperature V during t1≤t, for the composite solids -l<x<∞ of which the portion of -l<x<0 is the test specimen less than about 5 mm in thick, and the portion of x>0 is a standard sample, it has been proved that the surface temperature of the standard sample v2(0, t) is approximately given by :<BR>v2(0, t)/V=1-β-2/t1/t{eβ2erfcβ-exp[β2(1-t1/t)]}·erfc(β√1-t1/t)+2/√πβ(1-√1-t1/t)<BR>β=K1/K2√k2t/l<BR>Where, k1 : thermal diffusivity of a specimen<BR>K1 : thermal conductivity of a specimen<BR>k2 : thermal diffusivity of a standard sample<BR>K2 : thermal conductivity of a standard sample<BR>c, V : constant<BR>t1 : the time required to reach the temperature V<BR>Using these equations and borosilicate glass as the standard sample, 0.038 kcal/m·hr·°C has been obtained for K1 of polyester taffeta fabrics of four to six layeres.<BR>(2) Assuming k1=0.284 × 10-3m2/h for the same fabrics of 30-40 layers, K1=0.040 kcal/m·hr · °C has been obtained by the following equations :<BR>v2(0, t)/V=2/1+σ(a1t1/t+a2)<BR>a1=∞Σn=0θnpn(1/pn+2pn)(erfcpn-erfcpn/√1-t1/t)-2/√π(e-pn<SUP>2</SUP>-√1-t1/texp(-pn2/1-t1/t))<BR>a2=∞Σn=0θerfcpn/√1-t1/t<BR>σ=K2/K1√k1/k2, θ=σ-1/σ+1, pn=(2n+1)p, p=l/2√k1t<BR>(3) Assuming that an initial temperature beeing zero degree, a surface temperature is maintained at a temperature ct during 0<t<t1 and then the portions at x=0 and x=2l are maintained at a temperature V1 and V2 respectively during t1≤ t, the central plane temperature v(l, t) of the specimen 0<x<2l is represented by:<BR>v(l, t)/V1+V2=a1/t1/t+a2<BR>where, θ=-1.<BR>By using this equation, 0.284 ×10-3m2/h has been obtained for k1 of polyester taffeta fabrics.

収録刊行物

  • 繊維機械学会誌

    繊維機械学会誌 30 (2), T30-T44, 1977

    一般社団法人 日本繊維機械学会

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