ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

An Analytical Solution for the Unsteady Free Convection Flow near an Inclined Plate in a Rotating System


C. J. Toki

Department of Ecology and Environment
Technological Educational Institute of Ionian Islands
Square of Kalvou,
29100 Zakynthos,


The unsteady free-convection flow of a viscous, heat conducting fluid near an infinite, inclined and rotating plate (or surface) is investigated, with the rotation vector titled from the vertical. Exact solution of this problem is obtained with the help of Laplace transform technique, when the Prandtl number is arbitrary and the plate rotates in its own plane with constant angular velocity. The asymptotic or steady-state solution which corresponds to the present problem for large time is expressed analytically. The results thus obtained are also discussed

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