回転円盤上の液膜流れへの熱の影響(流体工学,流体機械)

概要

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The thermal effect on a liquid film of uniform thickness on a rotating disk is investigated. When the disk temperature T_d remains constant and equal to neither the temperature T_0 of the surrounding gas nor that of the initial liquid film, three parameters, namely the Prandtl number Pr, the Nusselt number Nu, and the dimensionless viscosity rate of change ε≡-μ_O^<-1>∂μ_0/∂T(T_d-T_0) (Where μ is viscosity and μ_0 is initial viscosity), govern the flow field thermally. The Navier-Stokes equations, the equation of continuity and the thermal diffusion equation in self-similar form are solved analytically. In the last stage, it was found that the time dependences of the film thickness through these three parameters are Pr; t^<-3/2>, Nit; t^<-1> and ε; t^<-1/2>. Further, it was found that the last one is the same as that for the film thickness due to the centrifugal effect. From this, it can be concluded that the thermal effect on flow through ε is quite large and ε can be assumed to be another parameter, besides rotating speed, that controls the spin-coating process.
一般社団法人日本機械学会の論文
1997-07-25