Energy stability theory is applied to the study of the nonlinear stability of natural convection in an inclined fluid layer having a uniform internal heat source (sink), with the boundaries of the layer maintained at constant temperatures. The stability limit is found in terms of the thermal Rayleigh number \(R_{1}\) and the internal Rayleigh number \(R_{2}\). The region of stability is found in \(R_{1}\)–\(R_{2}\) plane where the base state is stable against arbitrary perturbations. The Prandtl number Pr of the fluid and the angle of inclination of the fluid layer play an important role in determining the stability region.

中文翻译：

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内部加热的倾斜流体层中自然对流的整体稳定性

能量稳定性理论被用于研究具有均匀内部热源（汇）的倾斜流体层中自然对流的非线性稳定性，并且该层的边界保持在恒定温度下。根据热瑞利数\（R_ {1} \）和内部瑞利数\（R_ {2} \）可以找到稳定性极限。稳定区域位于\（R_ {1} \） – \（R_ {2} \）平面中，在该平面中，基本状态对任意扰动都是稳定的。流体的普朗特数Pr和流体层的倾斜角在确定稳定性区域中起重要作用。