Investigation on the Film Flow of a Third Grade Fluid on an Inclined Plane Using HPM

• Autorzy: Azimi M. , Azimi A.
• Języki publikacji: EN

Abstrakty

EN

This work concerns the study of the thin film flow problem arising in non–Newtonian fluid mechanics using analytical approach. The governing equations are reduced to ordinary nonlinear boundary value problem by applying the transformation method. Homotopy Perturbation Method (HPM) has been applied to obtain solution of reduced nonlinear boundary value problem. The analytical solutions of the flow velocity distributions for different cases have been presented. The effect of material constant has also discussed. Finally, analytical results have been compared with numerical one obtained by forth order Runge Kutta method. High accuracy and validity are the advantages of present study.

Słowa kluczowe

EN

Homotopy Perturbation Method; thin film flow; third grade fluid; boundary; value problem

PL

płyn nienewtonowski; wiązanie; zagadnienie

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2014
• Tom: Vol. 18, nr 1
• Strony: 5--10
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Azimi M.

• Department of Mechanical Engineering, Tarbiat Modares University, Tehran, IRI

autor

Azimi A.

• Department of Chemical Engineering, Collaege of Chemical Engineering, Mahshahr Branch, Islamic Azad University, Mahshahr, IRI

Bibliografia

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• [3] Vajravelu, K., Cannon, J. R., Rollins, D. and Leto, J.: On solutions of some non–linear differential equations arising in third grade fluid flows, Int. J. Engrg. Sci., 40, 1571–1578, 2004.
• [4] Kaushik, V. V. R., Ghosh, S., Das, G. and Das, P. K.: CFD modeling of water flow through sudden contraction and expansion in a horizontal pipe, Chemical Engineering Journal, 45, 30–36, 2011.
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• [6] He J. H.: Homotopy perturbation techniques comput. methods., Appl. Mech. Engrg, 178, 257, 1999.
• [7] Shakeri, F., Ganji, D. D. and Azimi, M.: Application of HPM–Pade’ to Jeffery Hamel Flow Problem, International Review of Mehanical Engineering, Vol. 6, No. 3, pp. 537–540, 2012.
• [8] Ganji, D. D. and Azimi, M.: Application of DTM on MHD Jeffery Hamel Problem with Nanoparticles, U.P.B., Scientific Bulletin Series A, vol. 75, no. 1, pp. 223–230, 2013.
• [9] Azimi, M., Azimi, A. and Mirzaei, M.: Investigation of the unsteady graphene oxide nanofluid flow between two moving plates, J. Comput. Theor. Nanos., 11(10), 1–5, 2014.
• [10] Ayaz, F.: Solutions of the systems of differential equations by differential transform method, Applied Mathematics and Computation, 147(2), 547-567, 2004.
• [11] Ganji, D. D. and Rajabi, A.: Assessment of homotopy-perturbation and perturbation methods in heat radiation equations, International Communications in Heat and Mass Transfer, Vol. 33, No. 3, pp. 391-400, 2006.