Dual solution of thin film flow of fuzzified MHD pseudo-plastic fluid: numerical investigation in uncertain environment

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dc.contributor.authorQayyum, Mubashir
dc.contributor.authorTahir, Aneeza
dc.contributor.authorSaeed, Syed Tauseef
dc.contributor.authorAfzal, Sidra
dc.contributor.authorAkgul, Ali
dc.contributor.authorHassani, Murad Khan
dc.date.accessioned2024-12-24T19:28:27Z
dc.date.available2024-12-24T19:28:27Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThe pseudoplastic fluids have wide range of applications in industrial areas including cyclone separation, bearings, paper fibre separation, heat exchangers and also in food industry. In this regard, the current manuscript investigates the impact of transverse magnetic field on thin pseudo-plastic film flow on a vertical wall in a fuzzy (uncertain) environment. The uncertainty in a model is characterized through triangular fuzzy numbers (TFNs) along with $ \mathbbm {r} $ r-cut approach, which is computationally effective in capturing the uncertainties in physical phenomena. This results in the modelling of highly nonlinear fuzzified problem. For solution and analysis purposes, Runge-Kutta Fehlberg (RKF) is utilized. Also, RKF solutions are validated by comparing them to homotopy perturbation solutions in the current manuscript. The impact of $ \mathbbm {r} $ r-cut, and fluid parameters including non-Newtonian parameter beta, magnetic field M and Stoke's number $ \mathcal {S}_{t} $ St on the upper and lower velocity profiles are captured and analysed numerically and graphically. Analysis reveals that velocity profile decreases with an increase in applied magnetic field at upper and lower bounds. Also, increase in $ \mathcal {S}_{t} $ St and beta increases the velocity profile at lower bound, while inverse behaviour is recorded in the case of upper bound. The results also indicate that as $ \mathbbm {r} $ r goes from 0 to 1, the crisp solution always lies between upper and lower profiles, and becomes coherent at 1. Moreover, all fuzzy level set values of $ \mathbbm {r} \in [0,1] $ r is an element of[0,1] satisfy the fuzzy solution in the form of TFN.
dc.identifier.doi10.1080/27690911.2024.2421486
dc.identifier.issn2769-0911
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85208796269
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://doi.org/10.1080/27690911.2024.2421486
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7064
dc.identifier.volume32
dc.identifier.wosWOS:001345909400001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofApplied Mathematics in Science and Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectNon-Newtonian fluid
dc.subjectfuzzy pseudo-plastic fluid
dc.subjecttriangular fuzzy number
dc.subjectcrisp model
dc.subjectthin film flow
dc.subjectRunge Kutta Fehlberg
dc.subjecthomotopy perturbation
dc.titleDual solution of thin film flow of fuzzified MHD pseudo-plastic fluid: numerical investigation in uncertain environment
dc.typeArticle

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