热源对卡森纳米流体在指数拉伸薄片上流动的影响

Q1 Mathematics
Sangamesh , K.R. Raghunatha , Ali J. Chamkha , Vinod Y
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引用次数: 0

摘要

这项研究考察了纳米流体的流动行为,结合了卡森流体特性和热源,当纳米流体在滞止点呈指数级拉伸的薄片上移动时。布朗运动和热泳性质的相互作用增加了复杂性,形成了耦合非线性边值问题(BVP)。通过适当的相似变换,将原偏微分方程转化为一般形式。该问题最初用于无限域[0,∞],然后使用小波变换转换为有限域[0,1]。采用伯努利小波方法(BWM)在mathematica12平台上对变换后的方程进行数值求解。所获得的发现与早期的研究结果进行了极大的比较,这些研究检查了问题中的各种具体情况。对物理限制进行了详细的调查,并直观地给出了数值结果,以提供清晰的说明。普朗特数越高,热扩散系数越低,热边界层越薄,表面附近的温度梯度越陡。同样,路易斯数的增加降低了分子的扩散率,产生了一个更受限制的溶质边界层。内部热源的存在进一步提高了拉伸片附近的流体温度,由于增加的热能而扩大了热边界层。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Influence of heat source on Casson nanofluid flow over an exponentially stretching sheet
The research examines the behaviour of nanofluid flow, incorporating Casson fluid properties and a heat source, as it moves over a sheet that stretches exponentially at the stagnation point. The interplay of Brownian motion and thermophoretic properties adds to the complexity, creating a coupled nonlinear boundary-value problem (BVP). The original partial differential equations (PDEs) are converted into ordinary forms by applying proper similarity conversions. Initially formulated for an infinite domain [0, ∞), the problem was then converted to a finite domain [0, 1] using wavelet transformations. The Bernoulli wavelet method (BWM) was employed to numerically solve the transformed equations within the MATHEMATICA 12 platform. The obtained findings are extremely compared with earlier research that examined various specific scenarios within the problem. A detailed investigation of the physical limitations is conducted and the numerical results are visually presented to provide clear illustrations. A higher Prandtl number leads to reduced thermal diffusivity, resulting in a thinner thermal boundary layer and steeper temperature gradients concentrated near the surface. Similarly, an increase in the Lewis number lowers molecular diffusivity, producing a more confined solutal boundary layer. The presence of an internal heat source further elevates fluid temperature near the stretching sheet, expanding the thermal boundary layer due to added thermal energy.
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来源期刊
CiteScore
6.20
自引率
0.00%
发文量
138
审稿时长
14 weeks
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