What does this research mean for the field?

In a bidispersive porous medium with throughflow, the interaction parameter destabilizes thermal convection in shear-thinning fluids while stabilizing it in Newtonian and shear-thickening fluids, and higher permeability ratios consistently delay the onset of convection. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To investigate the onset of thermal convection in a power-law fluid saturating a bidispersive porous medium subjected to throughflow.

August 28, 2026MathematicsOpen Access

Thermal Convection of Power-Law Fluid in Bidispersive Porous Media with Throughflow

View Full Paper

Ask AI

Bookmark

Authors

FMFatemah H. H. Al Mukahal SRS. Suresh Kumar Raju GRG. Shiva Kumar Reddy

Discussion

Member takes

Overview

Linear stability analysis reveals rheology-dependent onset of thermal convection in bidispersive porous media with throughflow, highlighting distinct stabilization regimes across fluid types.

Key Points

To investigate the onset of thermal convection in a power-law fluid saturating a bidispersive porous medium subjected to throughflow.
Formulated a linear stability analysis using the normal mode technique to govern the eigenvalue problem.
Solved the boundary value problem numerically using the bvp4c solver across shear-thinning, Newtonian, and shear-thickening fluid regimes.
The interaction parameter destabilizes shear-thinning fluids while stabilizing Newtonian and shear-thickening regimes, whereas higher permeability ratios consistently delay convection onset.
Increasing Peclet numbers generally improve stability, though shear-thinning fluids exhibit non-monotonic behavior due to competing convective enhancement and thermal diffusion.
Shear-thickening fluids display the lowest critical Rayleigh number across all Peclet numbers, whereas shear-thinning fluids provide maximum stability at low Peclet numbers and Newtonian fluids do so at high Peclet numbers.

Cite This Study

Mukahal et al. (2026) studied this question.

synapsesocial.com/papers/6a914613d15324a1df3a958b https://doi.org/10.3390/math14173073

View Full Paper

Ask AI

Bookmark

August 28, 2026MathematicsOpen Access

Thermal Convection of Power-Law Fluid in Bidispersive Porous Media with Throughflow

View Full Paper

Ask AI

Bookmark

Authors

FMFatemah H. H. Al Mukahal SRS. Suresh Kumar Raju GRG. Shiva Kumar Reddy

Discussion

Member takes

Overview

Linear stability analysis reveals rheology-dependent onset of thermal convection in bidispersive porous media with throughflow, highlighting distinct stabilization regimes across fluid types.

Key Points

To investigate the onset of thermal convection in a power-law fluid saturating a bidispersive porous medium subjected to throughflow.
Formulated a linear stability analysis using the normal mode technique to govern the eigenvalue problem.
Solved the boundary value problem numerically using the bvp4c solver across shear-thinning, Newtonian, and shear-thickening fluid regimes.
The interaction parameter destabilizes shear-thinning fluids while stabilizing Newtonian and shear-thickening regimes, whereas higher permeability ratios consistently delay convection onset.
Increasing Peclet numbers generally improve stability, though shear-thinning fluids exhibit non-monotonic behavior due to competing convective enhancement and thermal diffusion.
Shear-thickening fluids display the lowest critical Rayleigh number across all Peclet numbers, whereas shear-thinning fluids provide maximum stability at low Peclet numbers and Newtonian fluids do so at high Peclet numbers.

Cite This Study

Mukahal et al. (2026) studied this question.

synapsesocial.com/papers/6a914613d15324a1df3a958b https://doi.org/10.3390/math14173073

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

View Full Paper

Ask AI

Bookmark