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A study of a Stefan problem governed with space–time fractional derivatives | ||
| Journal of Heat and Mass Transfer Research | ||
| مقاله 6، دوره 3، شماره 2 - شماره پیاپی 6، بهمن 2016، صفحه 145-151 اصل مقاله (485.03 K) | ||
| نوع مقاله: Full Length Research Article | ||
| شناسه دیجیتال (DOI): 10.22075/jhmtr.2016.384 | ||
| نویسندگان | ||
| Rajeev .* 1؛ M. S. Kushwaha2؛ Abhishek Kumar Singh3 | ||
| 1Indian Institute of Technology(BHU) | ||
| 2IIT (BHU), Varanasi | ||
| 3IIT (BHU), VARANASI | ||
| تاریخ دریافت: 11 اسفند 1393، تاریخ بازنگری: 01 اردیبهشت 1394، تاریخ پذیرش: 22 اسفند 1394 | ||
| چکیده | ||
| This paper presents a fractional mathematical model of a one-dimensional phase-change problem (Stefan problem) with a variable latent-heat (a power function of position). This model includes space–time fractional derivatives in the Caputo sense and time-dependent surface-heat flux. An approximate solution of this model is obtained by using the optimal homotopy asymptotic method to find the solutions of temperature distribution in the domain 0 ≤x≤s(t) and interface’s tracking or location. The results thus obtained are compared with existing exact solutions for the case of the integer order derivative at some particular values of the governing parameters. The dependency of movement of the interface on certain parameters is also studied. | ||
| کلیدواژه‌ها | ||
| Optimal homotopy asymptotic method؛ Stefan problem؛ moving interface؛ Fractional derivatives | ||
| مراجع | ||
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