PALANISAMY GAYATHRI (2024) Impinging flow of a special third-grade nanofluid streaming over a porous receding sheet using the tri-temperature model. Impinging flow of a special third-grade nanofluid streaming over a porous receding sheet using the tri-temperature model, 98 (132). pp. 1-16.
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Impinging flow of a special third-grade nanofluid streaming over a porous receding sheet using the tri-temperature model.pdf - Published Version
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Abstract
The heat transfer characterisation of the three-phase local thermal non-equilibrium analysis due to
the nanofluid (solid particle phase and the base fluid phase) and the absorbing phase (due to the porous surface)
is performed for a third-grade nanofluid impinging over a receding surface. The mathematical formulation of
the physical model includes the Rivlin–Ericksen tensor for fluids of grade three with appropriate restriction to
viscous flows and also incorporates the Buongiorno nanofluid model for studying the impact of thermophoresis
and Brownian motion. The resultant governing time-dependent partial differential equations has been converted to
ordinary differential equations by applying similarity transformation. The computational results are obtained using
the finite-difference approach in the Matlab software. The non-Newtonian and the time-dependent flow phenomena
demands an additional boundary condition to ensure the uniqueness of the solution. With a general third-grade
assumption with the wall shrinking and unsteadiness, the resultant equations govern the occurrence of dual solution
in the obtained numerical results. The stability investigation reports the existence of multiple (dual) solutions due to
the unsteadiness imparted in the flow and the flow behaviour of both the stable and unstable solutions are revealed.
The boundary layer characteristics are explored for various vital physical parameters, such as material parameter,
porous permeability parameter, Brownian motion parameter, thermophoresis parameter, inter-phase heat transfer
coefficient, modified thermal capacity ratio, modified thermal diffusivity ratio and buoyancy ratio parameter. The
temperature distribution across different phases is analysed for the stable solutions
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Stagnation point; thermal non-equilibrium; third-grade nanofluid; shrinking surface |
| Divisions: | PSG College of Arts and Science > Department of Mathematics |
| Depositing User: | Dr. B Sivakumar |
| Date Deposited: | 24 Apr 2024 06:31 |
| Last Modified: | 17 Nov 2025 08:43 |
| URI: | https://ir.psgcas.ac.in/id/eprint/2143 |
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