Applications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable properties
Abstract Stretched flows have numerous applications in different industrial, biomedical and engineering processes. Current research is conducted to examine the flow phenomenon of Prandtl fluid model over a moveable surface. The phenomenon of mass and thermal transportation is based on generalized th...
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2021
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oai:doaj.org-article:3519c89c14b242b98b8bb22f101a6c062021-12-02T14:58:46ZApplications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable properties10.1038/s41598-021-97420-22045-2322https://doaj.org/article/3519c89c14b242b98b8bb22f101a6c062021-09-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-97420-2https://doaj.org/toc/2045-2322Abstract Stretched flows have numerous applications in different industrial, biomedical and engineering processes. Current research is conducted to examine the flow phenomenon of Prandtl fluid model over a moveable surface. The phenomenon of mass and thermal transportation is based on generalized theory of Cattaneo–Christov which considers the involvement of relaxation times. In addition to these, variable characteristics of thermal conductivity and diffusion coefficient are considered as a function of temperature. The physical problem in Cartesian coordinate system is modeled via boundary layer theory which yields a coupled system of partial differential equations. Group scaling transportation is applied to model these PDEs system. The converted equations have been approximated via optimal homotopic scheme. The efficiency and validity of used approach has been shown by computing the error analysis and establishing a comparative study. It is noted that the enhancement in magnetic parameter plays a controlling role for velocity field and it augment the concentration and temperature fields. Furthermore, increase in thermal relaxation parameter and Prandtl number maintains the fluid temperature.Umar NazirMuhammad SohailUmair AliEl-Sayed M. SherifChoonkil ParkJung Rye LeeMahmoud M. SelimPhatiphat ThounthongNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-13 (2021) |
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Medicine R Science Q Umar Nazir Muhammad Sohail Umair Ali El-Sayed M. Sherif Choonkil Park Jung Rye Lee Mahmoud M. Selim Phatiphat Thounthong Applications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable properties |
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Abstract Stretched flows have numerous applications in different industrial, biomedical and engineering processes. Current research is conducted to examine the flow phenomenon of Prandtl fluid model over a moveable surface. The phenomenon of mass and thermal transportation is based on generalized theory of Cattaneo–Christov which considers the involvement of relaxation times. In addition to these, variable characteristics of thermal conductivity and diffusion coefficient are considered as a function of temperature. The physical problem in Cartesian coordinate system is modeled via boundary layer theory which yields a coupled system of partial differential equations. Group scaling transportation is applied to model these PDEs system. The converted equations have been approximated via optimal homotopic scheme. The efficiency and validity of used approach has been shown by computing the error analysis and establishing a comparative study. It is noted that the enhancement in magnetic parameter plays a controlling role for velocity field and it augment the concentration and temperature fields. Furthermore, increase in thermal relaxation parameter and Prandtl number maintains the fluid temperature. |
format |
article |
author |
Umar Nazir Muhammad Sohail Umair Ali El-Sayed M. Sherif Choonkil Park Jung Rye Lee Mahmoud M. Selim Phatiphat Thounthong |
author_facet |
Umar Nazir Muhammad Sohail Umair Ali El-Sayed M. Sherif Choonkil Park Jung Rye Lee Mahmoud M. Selim Phatiphat Thounthong |
author_sort |
Umar Nazir |
title |
Applications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable properties |
title_short |
Applications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable properties |
title_full |
Applications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable properties |
title_fullStr |
Applications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable properties |
title_full_unstemmed |
Applications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable properties |
title_sort |
applications of cattaneo–christov fluxes on modelling the boundary value problem of prandtl fluid comprising variable properties |
publisher |
Nature Portfolio |
publishDate |
2021 |
url |
https://doaj.org/article/3519c89c14b242b98b8bb22f101a6c06 |
work_keys_str_mv |
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