Abstract
In this article, a study on the stability of Walter-B viscoelastic fluid in the highly permeable porous medium under the rotational speed modulation is presented. The impact of rotational modulation on heat transport is performed through a weakly nonlinear analysis. A perturbation procedure based on the small amplitude of the perturbing parameter is used to study the combined effect of rotation and permeability on the stability through a porous medium. Rayleigh–Bénard convection with the Coriolis expression has been examined to explain the impact of rotation on the convective flow. The graphical result of different parameters like modified Prandtl number, Darcy number, Rayleigh number, and Taylor number on heat transfer have discussed. Furthermore, it is found that the modified Prandtl number decelerates the heat transport which may be due to the combined effect of elastic parameter and Taylor number.
Highlights
The natural convection through porous media has numerous applications in real-life problems.The utilization of porous media is in the oil reservoir, geophysics, and solidification of binary alloys.The comprehensive study on investigations on porous media and its applications are compiled very nicely in the excellent books of Ingham and Pop [1,2], Vafai [3,4], Straughan (2004), and Nield andBejan [5]
Many more articles are found based on the flow through porous media, some of them are: Malashetty and Basavaraja [7] studied the onset of convection in a horizontal anisotropic porous layer under thermal/gravity modulation
We have discussed the graphical representation of numerical outcomes in terms of heat transport versus slow time under rotational speed modulation of Walter-B viscoelastic fluid in highly permeable porous media
Summary
The natural convection through porous media has numerous applications in real-life problems. Bég and Makinde [6] considered the upper convected Maxwell model on the viscoelastic fluid to examine the species transfer in high permeability porous media. Many more articles are found based on the flow through porous media, some of them are: Malashetty and Basavaraja [7] studied the onset of convection in a horizontal anisotropic porous layer under thermal/gravity modulation. The above discussions show that investigation of rotational speed modulation on Walter-B viscoelastic fluids saturated in highly permeable porous media is required. Authors ensure that there is no document available that describes the impact of time-varying rotation on Walter-B viscoelastic fluids saturated in highly permeable porous media. A real Ginzburg–Landau equation has been obtained to depict the role of dimensionless parameters on heat transport
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
