NONLINEAR DOUBLE-DIFFUSIVE CONVECTION IN AN ANISOTROPIC POROUS LAYER UNDER TIME-DEPENDENT ROTATION WITH INTERNAL HEATING AND SORET EFFECT

IF 2.5 4区工程技术 Q2 ENGINEERING, MECHANICAL

Journal of Porous Media Pub Date : 2024-06-01 DOI:10.1615/jpormedia.2024052416

Samah. A Ali, Precious Sibanda, Munyaradzi Rudziva, Osman A.I Noreldin, Sicelo P. Goqo, Hloniphile S. Mthethwa

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Abstract

The study investigates the double-diffusive convection onset in a non-uniformly rotating anisotropic porous fluid layer under the influence of Soret and internal heating effects. The linear stability approach is employed to investigate the system when subjected to infinitesimal perturbations. The nonlinear case is investigated using a minimum truncated double Fourier series, leading to the derivation of nonlinear Lorenz-type equations. To solve these coupled equations, a local quasilinearization block hybrid method (LQBHM) is utilized. The analysis shows that the stability of the fluid system is dependent on the values of the Soret coefficient, rotation parameter, anisotropy parameters, and internal heating. Among other results, it was observed that the rotation and thermal anisotropy parameters have stabilizing effects on the fluid system. Additionally, the rotation modulation amplitude increases the rates of heat and mass transfer and so advances the onset of convection in the fluid system, whereas the modulation frequency has the opposite effect.

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各向异性多孔层在随时间变化的旋转条件下的非线性双扩散对流与内部加热和索氏效应

本研究探讨了在索雷特效应和内部加热效应影响下，非均匀旋转各向异性多孔流体层中发生的双扩散对流。采用线性稳定性方法研究了系统受到无限小扰动时的情况。使用最小截断双傅里叶级数研究了非线性情况，从而推导出非线性洛伦兹型方程。为了求解这些耦合方程，使用了局部准线性化块混合方法（LQBHM）。分析表明，流体系统的稳定性取决于索雷特系数、旋转参数、各向异性参数和内部加热的值。除其他结果外，还观察到旋转参数和热各向异性参数对流体系统具有稳定作用。此外，旋转调制振幅会增加热量和质量的传递速率，从而加快流体系统中对流的发生，而调制频率则具有相反的效果。

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来源期刊

Journal of Porous Media 工程技术-工程：机械

CiteScore

3.50

自引率

8.70%

发文量

审稿时长

12.5 months

期刊介绍： The Journal of Porous Media publishes original full-length research articles (and technical notes) in a wide variety of areas related to porous media studies, such as mathematical modeling, numerical and experimental techniques, industrial and environmental heat and mass transfer, conduction, convection, radiation, particle transport and capillary effects, reactive flows, deformable porous media, biomedical applications, and mechanics of the porous substrate. Emphasis will be given to manuscripts that present novel findings pertinent to these areas. The journal will also consider publication of state-of-the-art reviews. Manuscripts applying known methods to previously solved problems or providing results in the absence of scientific motivation or application will not be accepted. Submitted articles should contribute to the understanding of specific scientific problems or to solution techniques that are useful in applications. Papers that link theory with computational practice to provide insight into the processes are welcome.