Stability analysis of the mixed convective flow of Jeffrey nanofluid through a porous medium

Chandra Shekara

Article Details

Stability analysis of the mixed convective flow of Jeffrey nanofluid through a porous medium

Authors:

Chandra Shekara

Publisher:

Yildiz Technical University

Main Topics:

Fluid Mechanics and Thermal Engineering (Other)

Journal:

Journal of Thermal Engineering Vol.11 Issue 2, pp.448-463

Document Type:

Article

Publication Date:

3/2025

Document Language:

English

Document ID (Org No.):

2001344251

pISSN:

2148-7847

Keywords:

Abstract:

 This study investigates the stability of a mixed convective flow of a nanofluid through a horizontal porous layer using an unsteady Jeffrey-Darcy model. Linear stability theory is employed to assess the stability of a system, where the base fluid is modeled as a Jeffrey fluid with dispersed nanoparticles in a state of thermal equilibrium. The stability equations are derived as an eigenvalue problem using Fourier decomposition, solved using the higher order Weighted Residual Galerkin Method WRGM, and validated analytically. The results are presented in terms of critical values of the Darcy-Rayleigh number, wave number, and wave speed over nondimensional parameters. Further, the impact of nondimensional numbers like horizontal pressure gradient, thermal diffusivity ratio, and nanoparticle volume fraction has stabilizing effects, whereas the Jeffrey parameter and the Vadasz number have the opposite effect. Moreover, it has been observed that the increase in the Jeffrey parameter reduces the stability region. The variation Jeffrey parameter causes a change in the flow and thereby discards the analytical proof of stability even under the limit of an infinite Vadasz number. The inquiry into the stability or instability of the fundamental flow is addressed by solving the eigenvalue problem numerically over a finite range of the Jeffrey parameter and horizontal pressure gradient. These results indicate that the oscillatory convection mode is advantageous for estimating the required volume fraction of nanoparticles in the base fluid to improve the thermal efficiency of Jeffrey nanofluids. Numerical and graphical analyses explore the impacts of dimensionless parameters on physical systems, providing insights into the systems stability properties under varying conditions.

 This study investigates the stability of a mixed convective flow of a nanofluid through a horizontal porous layer using an unsteady Jeffrey-Darcy model. Linear stability theory is employed to assess the stability of a system, where the base fluid is modeled as a Jeffrey fluid with dispersed nanoparticles in a state of thermal equilibrium. The stability equations are derived as an eigenvalue problem using Fourier decomposition, solved using the higher order Weighted Residual Galerkin Method WRGM, and validated analytically. The results are presented in terms of critical values of the Darcy-Rayleigh number, wave number, and wave speed over nondimensional parameters. Further, the impact of nondimensional numbers like horizontal pressure gradient, thermal diffusivity ratio, and nanoparticle volume fraction has stabilizing effects, whereas the Jeffrey parameter and the Vadasz number have the opposite effect. Moreover, it has been observed that the increase in the Jeffrey parameter reduces the stability region. The variation Jeffrey parameter causes a change in the flow and thereby discards the analytical proof of stability even under the limit of an infinite Vadasz number. The inquiry into the stability or instability of the fundamental flow is addressed by solving the eigenvalue problem numerically over a finite range of the Jeffrey parameter and horizontal pressure gradient. These results indicate that the oscillatory convection mode is advantageous for estimating the required volume fraction of nanoparticles in the base fluid to improve the thermal efficiency of Jeffrey nanofluids. Numerical and graphical analyses explore the impacts of dimensionless parameters on physical systems, providing insights into the systems stability properties under varying conditions.

 This study investigates the stability of a mixed convective flow of a nanofluid through a horizontal porous layer using an unsteady Jeffrey-Darcy model. Linear stability theory is employed to assess the stability of a system, where the base fluid is modeled as a Jeffrey fluid with dispersed nanoparticles in a state of thermal equilibrium. The stability equations are derived as an eigenvalue problem using Fourier decomposition, solved using the higher order Weighted Residual Galerkin Method WRGM, and validated analytically. The results are presented in terms of critical values of the Darcy-Rayleigh number, wave number, and wave speed over nondimensional parameters. Further, the impact of nondimensional numbers like horizontal pressure gradient, thermal diffusivity ratio, and nanoparticle volume fraction has stabilizing effects, whereas the Jeffrey parameter and the Vadasz number have the opposite effect. Moreover, it has been observed that the increase in the Jeffrey parameter reduces the stability region. The variation Jeffrey parameter causes a change in the flow and thereby discards the analytical proof of stability even under the limit of an infinite Vadasz number. The inquiry into the stability or instability of the fundamental flow is addressed by solving the eigenvalue problem numerically over a finite range of the Jeffrey parameter and horizontal pressure gradient. These results indicate that the oscillatory convection mode is advantageous for estimating the required volume fraction of nanoparticles in the base fluid to improve the thermal efficiency of Jeffrey nanofluids. Numerical and graphical analyses explore the impacts of dimensionless parameters on physical systems, providing insights into the systems stability properties under varying conditions.

 This study investigates the stability of a mixed convective flow of a nanofluid through a horizontal porous layer using an unsteady Jeffrey-Darcy model. Linear stability theory is employed to assess the stability of a system, where the base fluid is modeled as a Jeffrey fluid with dispersed nanoparticles in a state of thermal equilibrium. The stability equations are derived as an eigenvalue problem using Fourier decomposition, solved using the higher order Weighted Residual Galerkin Method WRGM, and validated analytically. The results are presented in terms of critical values of the Darcy-Rayleigh number, wave number, and wave speed over nondimensional parameters. Further, the impact of nondimensional numbers like horizontal pressure gradient, thermal diffusivity ratio, and nanoparticle volume fraction has stabilizing effects, whereas the Jeffrey parameter and the Vadasz number have the opposite effect. Moreover, it has been observed that the increase in the Jeffrey parameter reduces the stability region. The variation Jeffrey parameter causes a change in the flow and thereby discards the analytical proof of stability even under the limit of an infinite Vadasz number. The inquiry into the stability or instability of the fundamental flow is addressed by solving the eigenvalue problem numerically over a finite range of the Jeffrey parameter and horizontal pressure gradient. These results indicate that the oscillatory convection mode is advantageous for estimating the required volume fraction of nanoparticles in the base fluid to improve the thermal efficiency of Jeffrey nanofluids. Numerical and graphical analyses explore the impacts of dimensionless parameters on physical systems, providing insights into the systems stability properties under varying conditions.

Article Details

Stability analysis of the mixed convective flow of Jeffrey nanofluid through a porous medium

Authors:

Chandra Shekara

Publisher:

Yildiz Technical University

Main Topics:

Fluid Mechanics and Thermal Engineering (Other)

Journal:

Journal of Thermal Engineering Vol.11 Issue 2, pp.448-463

Document Type:

Article

Publication Date:

3/2025

Document Language:

English

Document ID (Org No.):

2001344251

pISSN:

2148-7847

Horizontal Pressure Gradient

Instability

Jeffrey Fluid

Mixed Convection

Nanofluid

Porous Layer

Issues

Article Details

Stability analysis of the mixed convective flow of Jeffrey nanofluid through a porous medium

Authors: Chandra Shekara

Publisher: Yildiz Technical University

Main Topics: Fluid Mechanics and Thermal Engineering (Other)

Journal: Journal of Thermal Engineering Vol.11 Issue 2, pp.448-463

Document Type: Article

Publication Date: 3/2025

Document Language: English

Document ID (Org No.): 2001344251

pISSN: 2148-7847

Horizontal Pressure Gradient

Instability

Jeffrey Fluid

Mixed Convection

Nanofluid

Porous Layer

Issues

Authors:

Chandra Shekara

Publisher:

Yildiz Technical University

Main Topics:

Fluid Mechanics and Thermal Engineering (Other)

Journal:

Journal of Thermal Engineering Vol.11 Issue 2, pp.448-463

Document Type:

Article

Publication Date:

3/2025

Document Language:

English

Document ID (Org No.):

2001344251

pISSN:

2148-7847