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.
Highlights
The removal of a condensate liquid from a cooled, saturated vapor is important in engineering processes
In constructing L, it is better to use some part of the original equation 23
There is no unique universal technique for choosing the initial approximation in iterative methods, but from previous works done on HPM 29, 30 and our own experiences, we can conclude the following facts
Summary
The removal of a condensate liquid from a cooled, saturated vapor is important in engineering processes. Sparrow and Gregg 1 considered the removal of the condensate using centrifugal forces on a cooled rotating disk. Following von Karman’s 2 study of a rotating disk in an infinite fluid, Sparrow and Gregg transformed the Navier-Stokes equations into a system of nonlinear ordinary differential equations and numerically integrated for the similarity solution for several finite film thicknesses. The problem is related to chemical vapor deposition, when a thin fluid film is deposited on a cooled rotating disk 5. Most of the scientific problems and phenomena are modeled by nonlinear ordinary or partial differential equations. Many powerful methods have been developed to construct explicit analytical solution of nonlinear differential equations.
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