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The eﬀect of wavy surface on natural convection ﬂow of two-phase dusty ﬂuid over a vertical frustum of a cone is presented in this paper. The boundary layer regime having the large value of Grashof number Gr is considered and the wavy surface is assume to have wavelength and amplitude of O(1). A sinusoidal surface is used as a particular example to elucidate the heat transfer mechanism near such surfaces. The transformed boundary layer equations are solved numerically and detailed results for the skin friction and rate of heat transfer coeﬃcients are presented for a selected parameters: wavy surface amplitude, half cone angle, mass concentration parameter and dust parameter. Comprehensive ﬂow formations of the contaminated oil having Pr equal to 500.0, are given with the aim to predict the enhancement of heat transport across the heated wavy frustum of the cone.
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