World Journal of Engineering Research and Technology

S. S. Saravanakumar*, M. Sri Niveetha, M. Maheswari, P. S. Saritha and
S. Nagadeepa5

ABSTRACT

Using an unsteady Jeffrey-Darcy model, this work examines the stability of a mixed convective flow of a nanofluid across a horizontal porous layer. When evaluating the stability of a system, the base fluid is modeled as a Jeffrey fluid with scattered nanoparticles in a thermally equilibrium condition. This is done using linear stability theory. By employing Fourier decomposition to construct the stability equations as an eigenvalue issue, the higher orders Weighted Residual Galerkin Method (WRGM) is utilized to solve the problem and test the resultsanalytically. The outcomes are displayed in terms of wave number, wave speed, and critical Darcy-Rayleigh number across nondimensional parameters. Furthermore, whereas the Vadasz number and the Jeffrey parameter have the opposite effect, nondimensional numbers like the thermal diffusivity ratio, the volume percentage of nanoparticles, and the horizontal pressure gradient have stabilizing effects. Furthermore, it has been noted that the stability zone shrinks as the Jeffrey parameter increases. Even in the case of an infinite Vadasz number, the changing Jeffrey parameter alters the flow and hence nullifies the mathematical evidence of stability. The question of whether the basic flow is stable or unstable is answered by numerically addressing the eigenvalue problem across a finite range of the horizontal pressure gradient and Jeffrey parameter. These findings suggest that in order to increase the thermal efficiency of Jeffrey nanofluids, it is beneficial to estimate the volume percentage of nanoparticles that must be present in the base fluid. The effects of dimensionless parameters on physical systems are investigated using numerical and graphical studies, which shed light on the stability characteristics of the system under various circumstances.

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