2025/09/23 by Prakash, Jyoti, Singh, Harjinder, Kumari, Chitresh +1
paper · doi:10.24352/ub.ovgu-2025-042
In the present paper linear mathematical analysis is performed for a rotatory incompressible Navier–Stokes–Voigt (NSV) fluid. It is analytically proved that the principle of the exchange of stabilities in a rotatory incompressible Navier–Stokes–Voigt fluid is valid in the regime \fracRsPr Le2π 4+\fracTaπ 2( \frac1π 2+λ )≤ 1. Further, upper bounds for the linear growth rate of disturbance are also obtained. It is mathematically established that upper bounds for the linear growth rate σ =σ r+iσ i (σ r and σ iare the real and imaginary parts of σ , respectively) of an arbitrary neutral or unstable oscillatory disturbance of growing amplitude, lies within a semicircle in the right half of the σ rσ i- plane, whose centre is at the origin and radius =max( √\fracRsPr Le(1+2π 2λ ) .,. √\fracTa( 1+π 2λ ) ), where Rs is concentration Rayleigh number, and and Le is the Lewis number, Pr is the thermal Prandtl number, Ta is the Taylor number and λ is the Navier-Stokes-Voigt parameter. The results derived herein are uniformly valid for any combination of rigid and free boundaries.