Comparative Evaluation of the Optimal Auxiliary Function Method and Numerical Method to Explore the Heat Transfer between Two Parallel Porous Plates of Steady Nanofluids with Brownian and Thermophoretic Influences

In this study, we used the newly established optimal approach, namely, optimal auxilary function method (OAFM) along with the Adams numerical solver technique in order to investigate the heat transfer between two permeable parallel plates of steady nanofluids (HTBTP-SNFs) through Brownian and thermo...

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Bibliographic Details
Published in:Mathematical problems in engineering 2022-07, Vol.2022, p.1-16
Main Authors: Ullah, Hakeem, Khan, Rafaqat Ali, Fiza, Mehreen, Islam, Saeed, Al-Mekhlafi, Seham M.
Format: Article
Language:English
Subjects:
Boundary conditions
Fluid mechanics
Heat conductivity
Heat transfer
Investigations
Mathematical models
Mathematical problems
Methods
Nanofluids
Nanoparticles
Nonlinear differential equations
Numerical analysis
Numerical methods
Parallel plates
Parameters
Partial differential equations
Physical properties
Porous plates
Schmidt number
Software
Source studies
Tables (data)
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Summary:In this study, we used the newly established optimal approach, namely, optimal auxilary function method (OAFM) along with the Adams numerical solver technique in order to investigate the heat transfer between two permeable parallel plates of steady nanofluids (HTBTP-SNFs) through Brownian and thermophoretic consequences. The new scheme model (HTBTP-SNFs) in terms of partial differential equations (PDEs) is changed to nonlinear ordinary differential equations (ODEs) by utilizing similarity transformations. The OAFM and Adams numerical methods are used to solve the resulting ODEs with boundary conditions. The OAFM along with convergence and Adams numerical method are studied in detail. The influences of the physical parameters of HTBTP-SNFs model for instance porosity parameter (m), parameter of magnetic (M), parameter of Brownian (Nb), viscosity parameter (R), Schmidt number (Sc), thermophores parameter (Nt), and Prandlt number (Pr) are discussed with the help of tabular data and graphs. The reliability and effectiveness of the technique are achieved by equating the results available in the literature.
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/7975101