Thermophysical aspects of magnetized Williamson fluid flow subject to both porous and non-porous surfaces: A Lie symmetry analysis

The present outcomes on thermally magnetized flow fields by way of symmetry analysis will assist the research community to examine fluid dynamics, particular structures of fluids, and their interaction with the homogeneous porous mediums. The new scaling group of transformations is offered rather th...

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Vydáno v:Case studies in thermal engineering Ročník 28; s. 101688
Hlavní autoři: Rehman, Khalil Ur, Shatanawi, Wasfi, Abodayeh, Kamaleldin
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Ltd 01.12.2021
Elsevier
Témata:
Numerical algorithm
Porous surface
Slip flow
Symmetry analysis
Thermally magnetized fluid
Slip flow
Thermally magnetized fluid
Symmetry analysis
Porous surface
Numerical algorithm
ISSN:2214-157X, 2214-157X
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Shrnutí:The present outcomes on thermally magnetized flow fields by way of symmetry analysis will assist the research community to examine fluid dynamics, particular structures of fluids, and their interaction with the homogeneous porous mediums. The new scaling group of transformations is offered rather than using so-called transformations from existing literature to better narrate the thermal fluid interaction with the porous magnetized medium. Symmetry analysis is carried to find the physical quantities at the surface by executing (i) Slip and non-Slip flow fields (ii) Porous and non-porous mediums (iii) Magnetized and non-Magnetized flow fields. Such collective physical effects result in a complicated mathematical differential system. For the solution purpose firstly the concerned scaling group of transformations is obtained by using symmetry analysis and such transformations are used to covert the differential system into an ordinary differential system. The ultimate differential system is solved by using the shooting method along with RK scheme. The observations are shared with the help of line graph study and tabular forms. It is concluded that for the porous and non-porous mediums, resistance towards fluid declines as the Weissenberg number enhances whereas the heat transfer normal to both porous and non-porous surfaces increases as thermal diffusivity declines.
ISSN:2214-157X
2214-157X
DOI:10.1016/j.csite.2021.101688