Heat transfer analysis of non-Newtonian natural convective fluid flow using Homotopy Perturbation and Daftardar-Gejiji & Jafari Methods

• Autorzy: Adeleye Olurotimi , Yinusa Ahmed

Identyfikatory

DOI

10.17512/jamcm.2019.2.01

• Języki publikacji: EN

Abstrakty

EN

In 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.

Słowa kluczowe

EN

non-Newtonian fluid; natural convection; vertically infinite plates; Daftardar-Gejiji & Jafari Method; DJM; Homotopy Perturbation Method; HPM

PL

ciecz nienewtonowska; konwekcja naturalna; metoda Daftardar-Gejiji i Jafari; DJM; metoda perturbacji homotopii

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2019
• Tom: Vol. 18, nr 2
• Strony: 5--18
• Opis fizyczny: Bibliogr. 25 poz., rys., tab.

Twórcy

autor

Adeleye Olurotimi

• Department of Systems Engineering, University of Lagos Akoka, Lagos, Nigeria

autor

Yinusa Ahmed

• Department of Mechanical Engineering, University of Lagos Akoka, Lagos, Nigeria

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).