Power Law Kernel Analysis of MHD Maxwell Fluid with Ramped Boundary Conditions: Transport Phenomena Solutions Based on Special Functions

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dc.authoridAwrejcewicz, Jan/0000-0003-0387-921X
dc.authoridRiaz, Muhammad Bilal/0000-0001-5153-297X
dc.authoridRehman, Aziz UR/0000-0002-8804-3915
dc.contributor.authorRiaz, Muhammad Bilal
dc.contributor.authorRehman, Aziz-Ur
dc.contributor.authorAwrejcewicz, Jan
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:33:35Z
dc.date.available2024-12-24T19:33:35Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, a new approach to find exact solutions is carried out for a generalized unsteady magnetohydrodynamic transport of a rate-type fluid near an unbounded upright plate, which is analyzed for ramped-wall temperature and velocity with constant concentration. The vertical plate is suspended in a porous medium and encounters the effects of radiation. An innovative definition of the time-fractional operator in power-law-kernel form is implemented to hypothesize the constitutive mass, energy, and momentum equations. The Laplace integral transformation technique is applied on a dimensionless form of governing partial differential equations by introducing some non-dimensional suitable parameters to establish the exact expressions in terms of special functions for ramped velocity, temperature, and constant-concentration fields. In order to validate the problem, the absence of the mass Grashof parameter led to the investigated solutions obtaining good agreement in existing literature. Additionally, several system parameters were used, such as as magnetic value M, Prandtl value Pr, Maxwell parameter lambda, dimensionless time tau, Schmidt number Sc, fractional parameter alpha, and Mass and Thermal Grashof numbers Gm and Gr, respectively, to examine their impacts on velocity, wall temperature, and constant concentration. Results are also discussed in detail and demonstrated graphically via Mathcad-15 software. A comprehensive comparative study between fractional and non-fractional models describes that the fractional model elucidate the memory effects more efficiently.
dc.description.sponsorshipPolish National Science Centre under the grant OPUS 18 [2019/35/B/ST8/00980]
dc.description.sponsorshipThis work has been supported by the Polish National Science Centre under the grant OPUS 18 No. 2019/35/B/ST8/00980.
dc.identifier.doi10.3390/fractalfract5040248
dc.identifier.issn2504-3110
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85121332422
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/fractalfract5040248
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8210
dc.identifier.volume5
dc.identifier.wosWOS:000793759900001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofFractal and Fractional
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectpower law kernel
dc.subjectfractional derivative
dc.subjectmemory effects
dc.subjectspecial functions base solutions
dc.subjectMaxwell fluid
dc.subjectramped conditions
dc.subjectdynamical and fractional parameteres
dc.titlePower Law Kernel Analysis of MHD Maxwell Fluid with Ramped Boundary Conditions: Transport Phenomena Solutions Based on Special Functions
dc.typeArticle

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