The flow and heat in the conical region of a rotating cone and an expanding disk

Abstract

Purpose The fluid flow and heat transfer between a rotating cone above a stretching disk is the prime purpose of the current work. Making use of suitable similarity transformations, it is shown that the physical phenomenon is represented by a system of similarity equations, which is compatible with that of literature in the absence of wall expansion. Design/methodology/approach Numerical simulation of the system enables us to seize the physical character of fluid filling the conical section as well as of the heat transfer, from small to adequately large gap sizes. How the surface expansion will contribute to the momentum and thermal layers; moreover, to the swirl angle from the disk wall, and heat transports from the cone and disk surfaces is studied in detail. Findings The results are clear evidences that the wall stretching completely changes the flow and heat behaviors within the conical gap. For instance, the centripetal/centrifugal flow properties of disk/cone are completely altered and the flow swirling angles are increased by means of the wall deformation. Originality/value The original value is that at small gap angles faster expansion of the wall overall leads to near-disk surface cooling, while causing the heated region near the cone surface, which has physical implications in practical applications.

Improved asymptotic expansion method for laminar fluid flow and heat transfer in conical gaps with disks rotating

“…Turkyilmazoglu (2020) extended the self-similar model of Shevchuk (2009) by including a term that considers the thermal conductivity in the fluid in the marching radial direction and performed calculations for conicity angles of 4°and 45°at Pr ¼ 0.71 (air), but only for an angle of 45°the calculated data of Turkyilmazoglu (2020) differed quite significantly from the results of Shevchuk (2009). Turkyilmazoglu (2023) extended the model of Turkyilmazoglu (2020) to the case of a rotating cone and a radially stretching disk according to a specially chosen law. Gul et al (2020Gul et al ( , 2021a and Gul et al (2021b) used the self-similar approach of Shevchuk (2004aShevchuk ( , 2004b) not including radial thermal conductivity in combination with a nanofluid model for small and large conical gaps.…”