Stability in the Special Saturated Liquid Film along an Inclined Heated Plate

Abstract:

Stable analysis of flow and heat transfer in the saturated liquid film of liquid low boiling point gases falling down an inclined heated plate is investigated. Firstly, the boundary value problem of linear stability differential equation (Orr–Sommerfeld equation) on small perturbation is derived representing surface tension by nonlinear relationship on temperature. Then, the expression of the wave velocity is got by solving the boundary value problem of O–S equation using the perturbation method. The effects of the inclined angle and some other factors, such as Reynolds number, wave number, temperature of the plate and the parameter for the physical property, on stability in the saturated liquid film of liquid low boiling point gas N2 are numerically analyzed by MATLAB software. Finally, it is shown and analyzed a new critical Reynolds number which is actually the extension of Yih’s.

• Periodical: Advanced Materials Research (Volumes 516-517)
• Pages: 202-207
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.516-517.202
• Online since: May 2012
• Authors: Xiao Chao Fan, Rui Jing Shi, Bo Wei
• Keywords: Nonlinear Surface Tension, Special Saturated Liquid Film, Stability of Heat Transfer

References

[1] Mohammed Rizwan Sadiq I. Linear instability in a thin viscoelastic liquid film on an inclined, non-uniformly heated wall. International Journal of Engineering Science. Vol. 43(2005) , p.1435.

DOI: 10.1016/j.ijengsci.2005.05.019

[2] Jun Hu. Review of liquid flow falling along the plate. Advances in Mechanics. Vol. 35(2005), p.161.(in Chinses)

[3] A.Samanta. Stability of inertialess liquid film flowing down a heated inclined plane. Physics Letters A. Vol. 372(2008), p.6653.

DOI: 10.1016/j.physleta.2008.08.080

[4] P. L.Kapitza, S. P.and Kapitza. Wave Flow of Thin liquid Layers of Fluid. Zh. Eksp. Teor. Fiz. Vol. 19(1949), p.105.

[5] C. S.Yih. Stability of liquid flow down an inclined plane. Phys. Fluid, Vol.6(1963), p.321.

[6] A.Samanta, Stability of liquid film falling down a vertical non-uniformly heated wall, Physica D Vol 237(2008), p.2587.

DOI: 10.1016/j.physd.2008.03.045

[7] Rong Wang. Surface tension of low boiling point of liquid gas. Chemical Physics. Vol 13(2000), p.380.

[8] Youliang Cheng. Effect of nonlinear surface tension on heat transfer stability in saturated liquid film. Journal of North China Electric Power University, Vol 29(2002), pp.50-53. (in Chinses)

[9] Ma Qingfang. Practical Manual of hot physical properties（Beijing: Chinese Agricultural Machinery Press）(1986) p.125. (in Chinses)

[10] Qi Shou-liang, Zhang Peng, Wang Ruzhu. Review of liquid nitrogen flow boiling heat transfer. Cryo ＆ Supercon Vol 34(2006) , p.417. (in Chinses)

[11] Cheng You-liang, Li Xin, Fan Zhong-yao, Ying Bo-fen. The stability analysis of heat transfer in saturated liquid film of the special materials. International Journal of Modern Physics B Vol 19 (2005), p.1547.

DOI: 10.1142/s0217984905009870

[12] Shi Jin-sheng. Stability of decrease saturated liquid film. Chinese Journal of Applied Mechanics Vol 16(1999), p.27.(in Chinses)