Journal of Applied Mathematics

Series Solution for Steady Three-Dimensional Flow due to Spraying on Inclined Spinning Disk by Homotopy Perturbation Method

Saeed Dinarvand

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Abstract

The steady three-dimensional flow of condensation or spraying on inclined spinning disk is studied analytically. The governing nonlinear equations and their associated boundary conditions are transformed into the system of nonlinear ordinary differential equations. The series solution of the problem is obtained by utilizing the homotopy perturbation method (HPM). The velocity and temperature profiles are shown and the influence of Prandtl number on the heat transfer and Nusselt number is discussed in detail. The validity of our solutions is verified by the numerical results. Unlike free surface flows on an incline, this through flow is highly affected by the spray rate and the rotation of the disk.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 634102, 15 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495073

Digital Object Identifier
doi:10.1155/2012/634102

Zentralblatt MATH identifier
1235.76104

Citation

Dinarvand, Saeed. Series Solution for Steady Three-Dimensional Flow due to Spraying on Inclined Spinning Disk by Homotopy Perturbation Method. J. Appl. Math. 2012 (2012), Article ID 634102, 15 pages. doi:10.1155/2012/634102. https://projecteuclid.org/euclid.jam/1355495073


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