MHD Radiative Casson Fluid Flow with Ramped Influence through a Porous Media via Constant Proportional Caputo Approach
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255145" target="_blank" >RIV/61989100:27740/24:10255145 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10773-024-05667-y" target="_blank" >https://link.springer.com/article/10.1007/s10773-024-05667-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-024-05667-y" target="_blank" >10.1007/s10773-024-05667-y</a>
Alternative languages
Result language
angličtina
Original language name
MHD Radiative Casson Fluid Flow with Ramped Influence through a Porous Media via Constant Proportional Caputo Approach
Original language description
The current study focuses on investigating the solutions of the mathematical model in the form of special functions. The phenomenon is described by a set of partial differential equations, which are then transformed into non-dimensional form. In order to improve the rheology of the Casson fluid, a fractional model is developed by using a new fractional operator Constant Proportional Caputo (CPC) approach to investigate and formulate the dynamics of Casson fluid flow and heat transfer phenomena subjected to ramped wall temperature. The fluid flow is elaborated near an infinitely vertical plate with characteristics velocity u0documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$u_0$$end{document}. We began by introducing appropriate variables to transform the mathematical model into non-dimensional form. Laplace transformation operator applied to gain the solution from fractional model, then obtained results expressed in the form of well-known special functions. The influence of various pertinent parameters involving in the solution was carefully examined to unveil intriguing findings. Upon comparison, we observed that the CPC approach yielded better results, after comparison with classical models documented in the literature, with graphical representations provided to illustrate these outcomes. To comprehensively analyze the dynamics of the proposed problem, physical influence of various parameters is studied and repercussions are graphically highlighted and discussed. Additionally, we derived results in a limiting sense, including Casson and viscous fluid models transitioning from the classical form to the fractionalized fluid model.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
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Continuities
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Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Theoretical Physics
ISSN
0020-7748
e-ISSN
1572-9575
Volume of the periodical
63
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
21
Pages from-to
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UT code for WoS article
001222588600001
EID of the result in the Scopus database
2-s2.0-85193038733