带速度滑移和温度跳变效应的辐射非定常稀薄气体在拉伸板上的流动

Q4 Mathematics
R. Sharma, N. Indumathi, S. Saranya, B. Ganga, A. Hakeem
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引用次数: 3

摘要

在这项研究中,进行了数学分析,以仔细观察在存在热辐射的情况下,具有速度滑移和热跳跃边界条件的垂直拉伸薄板上不可压缩稀薄气体流的非定常边界层流动。利用边界层方法和适当的相似变换,将具有边界条件的控制偏微分方程简化为非线性常微分方程组。利用四阶龙格-库塔方法,结合射击技术,对所得的非线性常微分方程进行了求解。通过图形描述了速度剖面、温度剖面、表面摩擦系数和减少的努塞尔数的结果。据预测,非定常流的速度和温度剖面较低,而定常流则具有相反的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Radiative Unsteady Rarefied Gaseous Flow Over a Stretching Sheet with Velocity Slip and Temperature Jump Effects
In this study a mathematical analysis has been carried out to scrutinize the unsteady boundary layer flow of an incompressible, rarefied gaseous flow over a vertical stretching sheet with velocity slip and thermal jump boundary conditions in the presence of thermal radiation. Using boundary layer approach and suitable similarity transformations, the governing partial differential equations with the boundary conditions are reduced to a system of non-linear ordinary differential equations. The resulting non-linear ordinary differential equations are solved with the help of fourth order Runge-Kutta method with shooting technique. The results obtained for the velocity profile, temperature profile, skin friction coefficient and the reduced Nusselt number are described through graphs. It is predicted that the velocity and temperature profiles are lower for unsteady flow and has an opposite effect for steady flow.
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来源期刊
Journal of the Indian Mathematical Society
Journal of the Indian Mathematical Society Mathematics-Mathematics (all)
CiteScore
0.50
自引率
0.00%
发文量
32
期刊介绍: The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.
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