Scholarlink

<p>This investigation analyzes the effects of variable viscosity and rotation on the onset of thermal convection in a non-Newtonian Navier–Stokes–Voigt (NSV) fluid, which has not been addressed in the available literature. The threshold for convective instability is obtained by linearizing the governing equations related to the perturbations. The consequential eigenvalue problem is then solved both analytically and numerically through the Galerkin process. The necessity of the Kelvin-Voigt factor, the viscosity variation factor, the Taylor number and the Prandtl number on the critical stability parameters is exhaustively examined. It is detected that above the certain threshold assessment of the Taylor number, the instability creates in as oscillatory type. The threshold range of the Taylor number at which oscillatory motion probable enhances with increasing the viscosity variation factor while, it declines with increasing the Prandtl number. The stability of the arrangement increases with increasing the Taylor number and the Prandtl number whereas, it decreases with the viscosity variation factor and the Kelvin-Voigt factor. The dimension of the convective cells declines with increasing the Taylor number, the viscosity variation factor and the Prandtl number while, it upsurges with the Kelvin-Voigt factor if the value of the Prandtl number is more than one.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Influence of Rotation and Variable Viscosity on Convective Instability in a Navier–Stokes–Voigt Fluid Layer

  • 期刊论文

  • 发表日期：

    2026年3月16日

查看全文
  • Dhananjay Yadav,
  • Mukesh Kumar Awasthi,
  • Ravi Ragoju,
  • Raghunath Kodi,
  • Amit Mahajan

摘要

This investigation analyzes the effects of variable viscosity and rotation on the onset of thermal convection in a non-Newtonian Navier–Stokes–Voigt (NSV) fluid, which has not been addressed in the available literature. The threshold for convective instability is obtained by linearizing the governing equations related to the perturbations. The consequential eigenvalue problem is then solved both analytically and numerically through the Galerkin process. The necessity of the Kelvin-Voigt factor, the viscosity variation factor, the Taylor number and the Prandtl number on the critical stability parameters is exhaustively examined. It is detected that above the certain threshold assessment of the Taylor number, the instability creates in as oscillatory type. The threshold range of the Taylor number at which oscillatory motion probable enhances with increasing the viscosity variation factor while, it declines with increasing the Prandtl number. The stability of the arrangement increases with increasing the Taylor number and the Prandtl number whereas, it decreases with the viscosity variation factor and the Kelvin-Voigt factor. The dimension of the convective cells declines with increasing the Taylor number, the viscosity variation factor and the Prandtl number while, it upsurges with the Kelvin-Voigt factor if the value of the Prandtl number is more than one.