The asymptotic boundary layer on a circular cylinder in axisymmetric micropolar fluid flow and constitutive theories Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/8910jw98h

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  • The asymptotic boundary layer problem involving an axial incompressible Newtonian fluid flow past a circular cylinder parallel to its axis was investigated by Stewartson (1955). He addressed hiself primarily to the Mangler's (1948) derivation, namely, the character of the boundary layer on a circular cylinder is equivalent to that on a flat plate owing to the boundary layer thickness being small compared with the radius of the body. Stewartson found from his investigation that if the velocity of the main stream is constant, the skin friction on the cylinder is increased at the corresponding points of a flat plate due to the effect of the transverse curvature of the cylinder, and, for the same reason, that the boundary layer thickness is slightly reduced in comparison with that of the flat plate. Thus, there certainly exist differences between the behavior of boundary layer on a circular cylinder and that on a flat plate. In this thesis we investigate the behavior of the asymptotic boundary layer of an axial incompressible micropolar fluid flow on a circular cylinder, and obtain the boundary layer solutions and their characteristics arising out of the orientable nature of the fluid medium. The present investigation is found to lead to the confirmation of the longstanding famous conjecture of Eringen (1966) that the theory of micropolar fluids may have a mechanism capable of explaining drag reduction near a solid boundary. Expressions for the velocity and microrotation fields in the boundary layer as well as those of skin-friction and boundary layer thickness are obtained. This thesis also presents a review of several existing continuum and microcontinuum constitutive theories of great interest to orientate the recent trend in the field of continuum mechanics and to provide for ready reference.
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2013-10-08T20:36:11Z (GMT) No. of bitstreams: 1 OkadaKanzo1978.pdf: 878173 bytes, checksum: 4a87e1331bde4715d60a47fc80e9f4fb (MD5)

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