Energy Transport of Williamson Nano-fluid over a Curved Stretching Surface by Means of FDM

This paper investigates two-dimensional incompressible non-Newtonian fluid (Williamson model) flow through a special type of curvilinear coordinate system. For the importance of thermal engineering processes, we have designed this model as a simulation of energy transport by boundary layer flow of W...

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Bibliographic Details
Published in:BioNanoScience 2023-09, Vol.13 (3), p.1116-1125
Main Authors: Gadelhak, Ayman A., Mekheimer, Kh.S., Seddeek, M. A., Abo-Elkhair, R. E., Ali, Khalid K., Salem, Ahmed M.
Format: Article
Language:English
Subjects:
Biological and Medical Physics
Biomaterials
Biophysics
Boundary layer flow
Boundary layers
Circuits and Systems
Curvature
Energy transfer
Engineering
Finite difference method
Fluid flow
Heat flux
Heat transfer
Heat transmission
Incompressible flow
Mass transfer
Mathematical models
Nanofluids
Nanotechnology
Newtonian fluids
Non Newtonian fluids
Nonlinear differential equations
Ordinary differential equations
Parameters
Radiation effects
Schmidt number
Spherical coordinates
Thermal engineering
Thermal radiation
Velocity distribution
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Summary:This paper investigates two-dimensional incompressible non-Newtonian fluid (Williamson model) flow through a special type of curvilinear coordinate system. For the importance of thermal engineering processes, we have designed this model as a simulation of energy transport by boundary layer flow of Williamson nanofluid using Buongiorno model. The main objective of the study is to evaluate the impact of curvature parameter on energy and mass transfer. The heat flow analysis in the system is carried out by considering linear thermal radiation effects. Using suitable similarity transformation, the governing equations are modeled and formulated into a system of non-linear ordinary differential equations. The obtained equations are solved numerically with the Finite Difference Method (FDM). To evaluate the influence of several emergent parameters, the outcomes are presented graphically as a consequence of velocity profile, temperature, and concentration. Also, the numerical results for the Nusselt number are compared to a previous study and they are in good agreement. One major result is that heat flux lower down for higher values of the curvature parameter. Also, the Sherwood number increases for higher values of curvature parameter and Schmidt number respectively.
ISSN:2191-1630
2191-1649
DOI:10.1007/s12668-023-01120-2