Heat and Mass Transfer in Rotating Cone-and-Disk Systems for Laminar Flows

  • Igor V. ShevchukEmail author
Part of the Mathematical Engineering book series (MATHENGIN)


This chapter focuses on laminar flow, heat and mass transfer between a disk and a cone that touches the disk with its apex. It comprises such geometries as “rotating cone—stationary disk”, “rotating disk—stationary cone”, “co-rotating or contra-rotating disk and cone” and “non-rotating conical diffuser”. The influence of the boundary conditions and various Prandtl/Schmidt numbers on the pressure, velocity and temperature profiles, as well as on the Nusselt/Sherwood numbers was revealed. Novel is the section describing effects of the Prandtl and Schmidt numbers, as well as a review of the relevant recently published works. In Chap.  6, results of different authors for the problems of convective heat and mass transfer for the Prandtl and Schmidt numbers larger than unity are critically analysed and generalized. Chapter  6 presents original theoretical models of the author developed for naphthalene sublimation in air and electrochemical problems. In the integral method of the author, effects of large Prandtl and Schmidt numbers are taken into account.


Nusselt Number Radial Velocity Tangential Velocity Schmidt Number Disk Surface 
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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.MBtech Group GmbH and Co. KGaA, Powertrain SolutionsFellbach-SchmidenGermany

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