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 : Article


1 Department of Mathematics and Statistics Bacha Khan University Charsadda, KP, Pakistan

2 Department of Mathematics and Statistics, Hazara University Mansehra 21120, Khyber Pakhtunkhwa, Pakistan

3 Department of Mathematics, College of Science and Arts, Qassim University, Dariyah 58214, Saudi Arabia

4 Department of Mathematics, College of Science and Arts, Qassim University, Unayzah 51911, Saudi Arabia

5 - Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Cairo, Egypt - Department of Management Information Systems, College of Business Management, Qassim University, Ar Rass, Saudi Arabia


The current study scrutinizes the influence of heat energy and slip effect using hybrid (HN) 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 PDEs 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-hybrid nanofluid with slip effect. The HN effectiveness is significantly higher compared to that exhibited by the traditional NF (nanofluid). The consequences of the first-order slip variable, the curved variable, and the pulling force contribution on the velocity field, DPV (dust phase velocity), temperature field, and DPT (dust phase temperature) all increase with time. When porous factor is increased, it is seen that the DPV is enhanced. For dissimilar magnitudes of nanoparticles solid volume fraction, opposite behavior is observed for velocity field and DPV. 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.


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