This investigation sketches the simultaneous action of g-jitter and internal heat source on Walter-B viscoelastic fluid in highly permeable porous media. The porous media is considered highly permeable to resist the effect of Darcian force, which opposes the fluid flow. A series solution method is used to quantify the heat transport in the convective system. By series solution method, the system of governing equations has been simplified into an ordinary differential equation with time-dependent coefficients, known as Ginzburg-Landau equation. The effect of dimensionless parameters Prandtl number, Darcy number, thermal Rayleigh number, and internal Rayleigh number on thermal instability is discussed through figures. We also observe that an increase in elastic parameter increases the rate of heat transport for a short-time period.

中文翻译：

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内部加热和g抖动对高渗透性多孔介质中Walter-B粘弹性流体的综合影响

这项研究概述了高渗透性多孔介质中g抖动和内部热源对Walter-B粘弹性流体的同时作用。多孔介质被认为是高渗透性的，可以抵抗与流体流动相反的达尔斯力的作用。串联求解方法用于量化对流系统中的热传递。通过级数解法，控制方程组已简化为具有时变系数的常微分方程，称为Ginzburg-Landau方程。通过图形讨论了无量纲参数的Prandtl数，Darcy数，热瑞利数和内部瑞利数对热不稳定性的影响。我们还观察到，弹性参数的增加会在短时间内增加热传输速率。