Investigation of a Jeffery-Hamel flow between two rectangular inclined smooth walls using the differential Transform Method

• Autorzy: Patel N. D. , Meher R.

Identyfikatory

DOI

10.17512/jamcm.2018.4.06

• Języki publikacji: EN

Abstrakty

EN

In this article, the Differential Transform Method (DTM) is applied to derive a semi-analytic solution for the non-linear MHD (Magneto Hydro Dynamics) Jeffery-Hamel flow between rectangular inclined smooth planes. A non-linear ordinary differential equation of order four is obtained from Navier-Stokes equations using similar transformation. A comparison between DTM, PM (Perturbation Method) and numerical solution is shown here to validate the obtained results with its convergence analysis for different values of m and a Reynolds number in divergent channels.

Słowa kluczowe

EN

Differential Transform Method; Jeffery-Hamel flow; higher order non-linear ordinary differential equation

PL

metoda transformacji różnicowej; DTM; przepływ Jeffery-Hamela; nieliniowe równanie różniczkowe

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2018
• Tom: Vol. 17, nr 4
• Strony: 47--57
• Opis fizyczny: Bibliogr. 26 poz., rys., tab.

Twórcy

autor

Patel N. D.

• Department of Mathematics,S.V. National Institute of Technology Surat, India

autor

Meher R.

• Department of Mathematics,S.V. National Institute of Technology Surat, India

Bibliografia

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Uwagi

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