## Series solution for steady three-dimensional flow due to spraying on inclined spinning disk by homotopy perturbation method.(English)Zbl 1235.76104

Summary: 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.

### MSC:

 76M25 Other numerical methods (fluid mechanics) (MSC2010) 76U05 General theory of rotating fluids
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### References:

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