Numerical exploration of thin film flow of MHD pseudo-plastic fluid in fractional space: Utilization of fractional calculus approach

Numerical exploration of thin film flow of MHD pseudo-plastic fluid in fractional space: Utilization of fractional calculus approach

In this article, thin film flow of non-Newtonian pseudo-plastic fluid is investigated on a vertical wall through homotopy-based scheme along with fractional calculus. Three cases were examined after considering (i) partial fractional differential equation (PFDE) by altering first-order derivative to...

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Autores principales: Qayyum Mubashir, Ismail Farnaz, Sohail Muhammad, Imran Naveed, Askar Sameh, Park Choonkil
Formato: article
Lenguaje:EN
Publicado: De Gruyter 2021
Materias:
magneto hydro dynamic
homotopy perturbation method
fractional differential equation
pseudo-plastic fluid
Physics
QC1-999
Acceso en línea:https://doaj.org/article/8345847a4fb0497d8a3ceb1a34b4a0b3
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spelling oai:doaj.org-article:8345847a4fb0497d8a3ceb1a34b4a0b32021-12-05T14:11:02ZNumerical exploration of thin film flow of MHD pseudo-plastic fluid in fractional space: Utilization of fractional calculus approach2391-547110.1515/phys-2021-0081https://doaj.org/article/8345847a4fb0497d8a3ceb1a34b4a0b32021-11-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0081https://doaj.org/toc/2391-5471In this article, thin film flow of non-Newtonian pseudo-plastic fluid is investigated on a vertical wall through homotopy-based scheme along with fractional calculus. Three cases were examined after considering (i) partial fractional differential equation (PFDE) by altering first-order derivative to fractional derivative in the interval (0, 1), (ii) PFDE by altering second-order derivative to fractional derivative in the interval (1, 2), and (iii) fully FDE by altering first-order derivative to fractional derivative in (0, 1) and second-order derivative to fractional derivative in (1, 2). Different physical quantities such as the velocity profile and volume flux were computed and analyzed. Validity of obtained results was checked by finding residuals. Moreover, consequence of different parameters on the velocity were also explored in fractional space.Qayyum MubashirIsmail FarnazSohail MuhammadImran NaveedAskar SamehPark ChoonkilDe Gruyterarticlemagneto hydro dynamichomotopy perturbation methodfractional differential equationpseudo-plastic fluidPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 710-721 (2021)
institution DOAJ
collection DOAJ
language EN
topic magneto hydro dynamic
homotopy perturbation method
fractional differential equation
pseudo-plastic fluid
Physics
QC1-999
spellingShingle magneto hydro dynamic
homotopy perturbation method
fractional differential equation
pseudo-plastic fluid
Physics
QC1-999
Qayyum Mubashir
Ismail Farnaz
Sohail Muhammad
Imran Naveed
Askar Sameh
Park Choonkil
Numerical exploration of thin film flow of MHD pseudo-plastic fluid in fractional space: Utilization of fractional calculus approach
description In this article, thin film flow of non-Newtonian pseudo-plastic fluid is investigated on a vertical wall through homotopy-based scheme along with fractional calculus. Three cases were examined after considering (i) partial fractional differential equation (PFDE) by altering first-order derivative to fractional derivative in the interval (0, 1), (ii) PFDE by altering second-order derivative to fractional derivative in the interval (1, 2), and (iii) fully FDE by altering first-order derivative to fractional derivative in (0, 1) and second-order derivative to fractional derivative in (1, 2). Different physical quantities such as the velocity profile and volume flux were computed and analyzed. Validity of obtained results was checked by finding residuals. Moreover, consequence of different parameters on the velocity were also explored in fractional space.
format article
author Qayyum Mubashir
Ismail Farnaz
Sohail Muhammad
Imran Naveed
Askar Sameh
Park Choonkil
author_facet Qayyum Mubashir
Ismail Farnaz
Sohail Muhammad
Imran Naveed
Askar Sameh
Park Choonkil
author_sort Qayyum Mubashir
title Numerical exploration of thin film flow of MHD pseudo-plastic fluid in fractional space: Utilization of fractional calculus approach
title_short Numerical exploration of thin film flow of MHD pseudo-plastic fluid in fractional space: Utilization of fractional calculus approach
title_full Numerical exploration of thin film flow of MHD pseudo-plastic fluid in fractional space: Utilization of fractional calculus approach
title_fullStr Numerical exploration of thin film flow of MHD pseudo-plastic fluid in fractional space: Utilization of fractional calculus approach
title_full_unstemmed Numerical exploration of thin film flow of MHD pseudo-plastic fluid in fractional space: Utilization of fractional calculus approach
title_sort numerical exploration of thin film flow of mhd pseudo-plastic fluid in fractional space: utilization of fractional calculus approach
publisher De Gruyter
publishDate 2021
url https://doaj.org/article/8345847a4fb0497d8a3ceb1a34b4a0b3
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