Thermal analysis of longitudinal a porous fin with temperature-dependent internal heat generation using the variation of parameters method

• Autorzy: Güngör Osman , Arslantürk Cihat

Identyfikatory

DOI

10.17512/jamcm.2020.3.01

• Języki publikacji: EN

Abstrakty

EN

The present study investigates the thermal performance of longitudinal a porous fin with temperature-dependent internal heat generation. The Darcy model is utilized to obtain the differential form of the governing equation that solves the nonlinear temperature distribution equation using the method of variation of parameters. Although this method is applied to solve both linear and nonlinear differential equations, there exist rare applications of this method to solve nonlinear heat transfer problems. In the present study, we applied the method to estimate the thermal analysis of the porous fin exposed to convection. The heat generation is assumed as a function of temperature. The effects of the convection parameter N_c, internal heat generation ɛ, porosity S_h, and generation number G parameter on the dimensionless temperature distribution are discussed in detail. The accuracy of the variation of parameters method is verified through comparison with homotopy perturbation method and the Matlab bvp4c solver (NUM). The results have disclosed that the variation of parameters method can be used as a very effective and practical approach for further studies of the porous medium.

Słowa kluczowe

EN

variation of parameters method; porous fin; heat generation; exact solution

PL

metoda wariacji parametrów; żebro porowate; wytwarzanie ciepła; dokładne rozwiązanie

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2020
• Tom: Vol. 19, nr 3
• Strony: 5--16
• Opis fizyczny: Bibliogr. 27 poz., rys., tab.

Twórcy

autor

Güngör Osman

• Technical Scientific Vocational School, Bayburt University Bayburt, Turkey

autor

Arslantürk Cihat

• Faculty of Engineering, Ataturk University Erzurum, Turkey

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).