Mathematical model and stability analysis for dusty-hybrid nanofluid over a curved surface with Cattaneo–Christov heat flux and fourier law with slip effect

Document Type : Research Article

Authors

1 Department of Mathematics and Statistics, Bacha Khan University Charsadda, Khyber Pakhtunkhwa, Pakistan.

2 Department of Mathematics and Statistics, Hazara University Mansehra, Khyber Pakhtunkhwa, Pakistan.

3 Department of Mathematics, College of Science, Qassim University, Buraydah, Saudi Arabia.

4 Department of Mathematics, College of Science and Arts, Qassim University, Unayzah, Saudi Arabia.

5 Department of Management Information Systems, College of Business and Economics, Qassim University, Buraydah, Saudi Arabia.

10.24200/sci.2024.63337.8342

Abstract

The current study scrutinizes the influence of heat energy and slip effect using Hybrid Nanofluid (HNF) suspended in the Ethylene–Glycol (EG) as a based liquid over the curved surface impinging Modified Fourier Law (MFL) surrounding dust nanoparticles. The modeled mathematical equations in term of partial differential equations are transformed to convectional differential equations and are computed numerically via Finite Element Method (FEM). The flow characteristics are examined by assign numerical values to the physical parameters. The novelty of the problem is to examine the stability of dusty-HNF with slip effect. The HNF effectiveness is significantly higher compared to that exhibited by the traditional nanofluid. The consequences of the first-order slip variable, the curved variable, and the pulling force contribution on the velocity field, dust phase velocity, temperature field and dust phase temperature all increase with time. For different magnitudes of nanoparticles solid volume fraction, opposite behavior is observed for velocity field and dust phase velocity. The heat of the fluid drops in relation to the thermal relaxation coefficient. For the endorsement of the mathematical flow system error approximations has been computed. For the stability analysis a comparison of the current work is done with the published work.

Keywords

Main Subjects

References

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Scientia Iranica
Volume 32, Issue 13
Transactions on Nanotechnology
July and August 2025 Article ID:8342

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  • Receive Date: 18 October 2023
  • Revise Date: 28 December 2023
  • Accept Date: 28 April 2024

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