Numerical Study of Natural Convection of Power Law Fluid in a Square Cavity Fitted with a Uniformly Heated T-Fin

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dc.authoridRiaz, Muhammad Bilal/0000-0001-5153-297X
dc.authoridAwrejcewicz, Jan/0000-0003-0387-921X
dc.authoridShah, Imtiaz/0000-0002-5038-6656
dc.authorid, Sardar/0000-0002-7803-9218
dc.contributor.authorBilal, Sardar
dc.contributor.authorKhan, Noor Zeb
dc.contributor.authorShah, Imtiaz Ali
dc.contributor.authorAwrejcewicz, Jan
dc.contributor.authorAkgul, Ali
dc.contributor.authorRiaz, Muhammad Bilal
dc.date.accessioned2024-12-24T19:33:42Z
dc.date.available2024-12-24T19:33:42Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractFlow of a liquid in an enclosure with heat transfer has drawn special focus of researchers due to the abundant thermal engineering applications. So, the aim of present communication is to explore thermal characteristics of natural convective power-law liquid flow in a square enclosure rooted with a T-shaped fin. The formulation of the problem is executed in the form of partial differential expressions by incorporating the rheological relation of the power-law fluid. The lower wall of the enclosure along with the fin is uniformly heated and vertical walls are prescribed with cold temperature. For effective heat transfer within the cavity the upper boundary is considered thermally insulated. A finite element based commercial software known as COMSOL is used for simulations and discretization of differential equations and is executed incorporating a weak formulation. Domain discretization is performed by dividing it into triangular and rectangular elements at different refinement levels. A grid independence test is accomplished for quantities of engineering interest like local and average Nusselt numbers to attain accuracy and validity in results. Variation in the momentum and thermal distributions against pertinent parameters is analyzed through stream lines and isothermal contour plots. Measurement of the heat flux coefficient along with the calculation of kinetic energy against involved parameters is displayed through graphs and tables. After the comprehensive overview of attained results it is deduced that kinetic energy elevates against the upsurging magnitude of the Rayleigh number, whereas contrary behavior is encapsulated versus power-law index n. Elevation in the Nusselt number for the shear thinning case i.e., n=0.5 adheres as compared to Newtonian i.e., n=1 and shear thickening cases i.e., n=1.5. It is perceived that by the upsurging power-law index viscosity augmentations and circulation zones increases. Heat is transferred quickly against Rayleigh number (Ra) due to production of temperature difference in flow domain.
dc.description.sponsorshipPolish National Science Centre [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/math10030342
dc.identifier.issn2227-7390
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85123554973
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math10030342
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8231
dc.identifier.volume10
dc.identifier.wosWOS:000755305500001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectlaminar free convection
dc.subjectsquare cavity
dc.subjectheated T-fin
dc.subjectpower-law fluid
dc.subjectfinite element method
dc.titleNumerical Study of Natural Convection of Power Law Fluid in a Square Cavity Fitted with a Uniformly Heated T-Fin
dc.typeArticle

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