卡诺流体在垂直拉伸/收缩薄片上的混合对流分析

IF 2.7 Q3 NANOSCIENCE & NANOTECHNOLOGY Journal of Nanofluids Pub Date : 2023-10-01 DOI:10.1166/jon.2023.2085
Sradharam Swain, G. M. Sarkar, B. Sahoo, A. Rashad
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引用次数: 0

摘要

目前的研究旨在揭示卡诺流体在停滞点附近的可渗透垂直拉伸/收缩薄片上的稳定混合对流。利用适当的相似性变换将控制方程系统简化为 ODE。相似性变换是通过李氏缩放变换组获得的。根据拉伸和收缩情况下的对立流动参数,可以检测到双相似解。详细研究了相关参数对皮肤摩擦系数、努塞尔特数、速度和温度场的影响。在拉伸情况下,吸力参数对表皮摩擦系数变化的影响表现出与收缩情况不同的行为。然而,在努塞尔特数的变化上,拉伸和收缩情况下的趋势相似。随着非牛顿参数的增加,上部分支的流体速度降低,温度升高,而下部分支的趋势则相反。由于下分支与上分支的特性不同,有必要找到一个物理上可靠的求解分支。因此,根据最小特征值的符号进行线性时间稳定性分析。利用射击技术数值确定了最小特征值,发现上分支是唯一稳定的解分支。
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Mixed Convection Flow Analysis of Carreau Fluid Over a Vertical Stretching/Shrinking Sheet
The current investigation aspires to unravel the steady mixed convection flow of Carreau fluid over a permeable vertical stretching/shrinking sheet near a stagnation point. The system of governing equations is reduced into ODEs utilizing appropriate similarity transformations. The similarity transformations are obtained via the Lie scaling group of transformations. Dual similarity solutions are detected depending on the opposing flow parameter for stretching and shrinking cases. The effects of pertinent parameters on the skin friction coefficient, Nusselt number, velocity, and temperature fields are examined in detail. The influence of the suction parameter on the variations of skin friction coefficient for the stretching case shows various behavior than in the shrinking case. However, on the variations of the Nusselt number, a similar trend in both the stretching and shrinking cases is observed. The fluid velocity decreases, and the temperature rises with the increment of non-Newtonian parameter in the upper branch, whereas the lower branch depicts opposite trends. Due to the different characteristics of the lower branch than the upper branch, it is necessary to find a physically reliable solution branch. Thus, a linear temporal stability analysis is conducted based on the sign of the smallest eigenvalue. The smallest eigenvalues are determined numerically using the shooting technique, revealing that the upper branch is the only stable solution branch.
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来源期刊
Journal of Nanofluids
Journal of Nanofluids NANOSCIENCE & NANOTECHNOLOGY-
自引率
14.60%
发文量
89
期刊介绍: Journal of Nanofluids (JON) is an international multidisciplinary peer-reviewed journal covering a wide range of research topics in the field of nanofluids and fluid science. It is an ideal and unique reference source for scientists and engineers working in this important and emerging research field of science, engineering and technology. The journal publishes full research papers, review articles with author''s photo and short biography, and communications of important new findings encompassing the fundamental and applied research in all aspects of science and engineering of nanofluids and fluid science related developing technologies.
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