Numerical Analysis of Transient Temperature Response of Soap Film

• Published in: International journal of thermophysics Vol. 36; no. 10-11; pp. 2609 - 2620
• Main Authors: Tanaka, Seiichi, Tatesaku, Akihiro, Dantsuka, Yuki, Fujiwara, Seiji, Kunimine, Kanji
• Format: Journal Article
• Language: English
• Published: New York Springer US 01-11-2015
• Subjects: Classical Mechanics; Condensed Matter Physics; Cylinders; Diffusivity; Heat transfer; Industrial Chemistry/Chemical Engineering; Liquid films; Mathematical analysis; Mathematical models; Physical Chemistry; Physics; Physics and Astronomy; Soap films; Thermal conductivity; Numerical simulation; Thermal conductivity; Thermal diffusivity; Amphiphilic molecules; Transient hot wire; Liquid thin film
• DOI: 10.1007/s10765-015-1987-z
• EISSN: 1572-9567
• ISSN: 0195-928X

Measurements of thermophysical properties of thin liquid films are important to understand interfacial phenomena due to film structures composed of amphiphilic molecules in soap film, phospholipid bilayer of biological cell and emulsion. A transient hot-wire technique for liquid films less than 1
μ
m thick such as soap film has been proposed to measure the thermal conductivity and diffusivity simultaneously. Two-dimensional heat conduction equations for a solid cylinder with a liquid film have been solved numerically. The temperature of a thin wire with liquid film increases steeply with its own heat generation. The feasibility of this technique is verified through numerical experiments for various thermal conductivities, diffusivities, and film thicknesses. Calculated results indicate that the increase in the volumetric average temperature of the thin wire sufficiently varies with the change of thermal conductivity and diffusivity of the soap film. Therefore, the temperature characteristics could be utilized to evaluate both the thermal conductivity and diffusivity using the Gauss–Newton method.