Heat Transfer Analysis of Non-Newtonian Natural Convective Fluid Flow Using Homotopy Perturbation and Daftardar-Gejiji & Jafari Methods

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dc.contributor.authorAdeleye, O.A
dc.contributor.authorAhmed, Y
dc.date.accessioned2019-08-26T09:31:52Z
dc.date.available2019-08-26T09:31:52Z
dc.date.issued2019-07
dc.descriptionStaff Publicationen_US
dc.description.abstractIn this paper, the analytical solution of natural convective heat transfer of a non-Newtonian fluid flow between two vertical infinite plates using the Homotopy Perturbation Method (HPM) and Daftardar-Gejiji & Jafari Method (DJM) is presented. The heat transfer problem of natural convection is observed in many engineering fields including geothermal systems, heat exchangers, petroleum reservoirs, nuclear waste reserves, etc. The problem which is modelled as fully coupled nonlinear ordinary differential equations requires special analytical techniques for its solution. The solutions are obtained using an exact analytical method: the Homotopy Perturbation Method (HPM) and a semi-analytical method: the Daftardar-Gejiji & Jafari Method (DJM). These solutions are compared with solutions obtained from the Runge-Kutta numerical method. The results are in good agreement with the numerical solutions. The effects of the Eckert number, Prandtl number and the non-Newtonian fluid viscosity parameter on the non-dimensional temperature and velocity of the fluid are investigated. The results obtained from the analytical method show that the method can be applied to predict excellent results of the problem and can be used for parametric studies of the problem. From the results, it is shown that when the Prandtl number and the Eckert number are increased, there is an increase in both temperature and fluid flow velocity.en_US
dc.identifier.citationAdeleye, O, and Ahmed, Y, (2019). Heat Transfer Analysis of Non-Newtonian Natural Convective Fluid Flow Using Homotopy Perturbation and Daftardar-Gejiji & Jafara Methods. Journal of Applied Mathematics and Computational Mechanics, Vol,18(2), pp. 5-18.en_US
dc.identifier.urihttps://ir.unilag.edu.ng/handle/123456789/4708
dc.language.isoenen_US
dc.publisherJournal of Applied Mathematics and Computational Mechanicsen_US
dc.relation.ispartofseries18;2
dc.relation.ispartofseriesJournal of Applied Mathematics and Computational Mechanics;
dc.subjectResearch Subject Categories::TECHNOLOGY::Information technology::Systems engineeringen_US
dc.subjectNon-newtonian Fluiden_US
dc.subjectNatiral Correctionen_US
dc.subjectHomotopy Perturbation Method (HPM)en_US
dc.subjectJafari Methoden_US
dc.titleHeat Transfer Analysis of Non-Newtonian Natural Convective Fluid Flow Using Homotopy Perturbation and Daftardar-Gejiji & Jafari Methodsen_US
dc.typeArticleen_US
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