熱泳與熱輻射效應對暫態拉伸壁面熱質傳遞之研究

Effects of Thermophoresis and Radiation on Heat and Mass Transfer for Flow over a Unsteady Stretching Surface

黃建勝(Jian-Sheng Huang) ； 游登義(Teng-YiYu) ； 蔡瑞益(Ruey-Yih Tsai)

《先進工程學刊》 18卷1期 (2023/04) Pp. 19-24

摘要

本文探討當流體受到熱泳及熱輻射效應影響時，對暫態拉伸表面之熱質傳遞現象。問題假設為二維不可壓縮之層流平板拉伸模型，其統御方程式包括動量、能量及濃度場方程式。將統御方程式經過無因次化相似轉換後，數值計算採用Runge-Kutta積分法配合射擊法求解。探討包含了不同暫態參數A、熱輻射參數R及熱泳參數τ之流場、溫度場及濃度場分布。結果可以發現，速度會隨著暫態參數的增加而降低，熱傳率則隨著暫態參數和熱輻射參數的增加而變大。當壁面溫度大於外界流體溫度時，濃度分布將隨著溫度梯度及熱泳效應的增大而向外界推移。

關鍵字

熱泳 ； 熱輻射 ； 暫態 ； 拉伸壁

並列摘要

A study of thermophoresis and radiation effects on heat and mass transfer from an unsteady stretching surface is reported. In this work, air flow was modeled as two dimensional, incompressible laminar flow. The similarity transformation and numerical technique are used to solve governing equations include mass, momentum, energy and concentration. The solutions are obtained by numerical method of Runge-Kutta integration with shooting scheme. The results include velocity, temperature and concentration distribution for different unsteadiness parameter A, radiation parameter R, and thermophoretic parameter τ. It showed that the velocity profiles decrease with increasing A values. The heat transfer rate increased with increasing A and R values. The effects of thermophoresis is particularly important for concentration blowing away from a hot surface at a given temperature gradient.

並列關鍵字

thermophoresis ； thermal radiation ； unsteady ； stretching surface

參考文獻

B.C. Sakiadis, Boundary-layer behaviour on continuous solid surfaces, A.I.Ch.E. J., Vol. 7, pp. 26-28, 1961.

F.K. Tsou, E.M. Sparrow and R.J. Goldstein, Flow and heat transfer in the boundary layer on a continuous moving surface, Int. J. Heat Mass Transfer, Vol. 10, pp. 219-235, 1967.

L.J. Crane, Flow past s stretching plane, Z. Angew.Math. Phys., Vol. 21, pp. 645-647, 1970.

L.G. Grubka and K.M. Bobba, Heat transfer characteristics of a continuous stretching surface with variable temperature, ASME J. Heat Transfer, Vol. 107, pp. 248-250, 1985.

V.M. Soundalgekar and T.V.R. Murty, Heat transfer past a continuous moving plate with variable temperature, Wärme- und Stoffübertragung, Vol. 14, pp. 91-93, 1980.