Global stability analysis of axisymmetric boundary layer over a circular cylinder

Show simple item record Bhoraniya, Ramesh Narayanan, Vinod 2018-05-15T10:46:17Z 2018-05-15T10:46:17Z 2018-05
dc.identifier.citation Bhoraniya, Ramesh and Narayanan, Vinod, �Global stability analysis of axisymmetric boundary layer over a circular cylinder�, Theoretical and Computational Fluid Dynamics, DOI: 10.1007/s00162-018-0461-5, May 2018. en_US
dc.identifier.isbn 1432-2250
dc.identifier.issn 0935-4964
dc.description.abstract This paper presents a linear global stability analysis of the incompressible axisymmetric boundary layer on a circular cylinder. The base flow is parallel to the axis of the cylinder at inflow boundary. The pressure gradient is zero in the streamwise direction. The base flow velocity profile is fully non-parallel and non-similar in nature. The boundary layer grows continuously in the spatial directions. Linearized Navier�Stokes (LNS) equations are derived for the disturbance flow quantities in the cylindrical polar coordinates. The LNS equations along with homogeneous boundary conditions forms a generalized eigenvalues problem. Since the base flow is axisymmetric, the disturbances are periodic in azimuthal direction. Chebyshev spectral collocation method and Arnoldi�s iterative algorithm is used for the solution of the general eigenvalues problem. The global temporal modes are computed for the range of Reynolds numbers and different azimuthal wave numbers. The largest imaginary part of the computed eigenmodes is negative, and hence, the flow is temporally stable. The spatial structure of the eigenmodes shows that the disturbance amplitudes grow in size and magnitude while they are moving towards downstream. The global modes of axisymmetric boundary layer are more stable than that of 2D flat-plate boundary layer at low Reynolds number. However, at higher Reynolds number they approach 2D flat-plate boundary layer. Thus, the damping effect of transverse curvature is significant at low Reynolds number. The wave-like nature of the disturbance amplitudes is found in the streamwise direction for the least stable eigenmodes.
dc.description.statementofresponsibility by Ramesh Bhoraniya and Narayanan Vinod
dc.language.iso en en_US
dc.publisher Springer en_US
dc.subject Axisymmetric boundary layer en_US
dc.subject Global stability en_US
dc.subject Transverse curvature en_US
dc.title Global stability analysis of axisymmetric boundary layer over a circular cylinder en_US
dc.type Article en_US
dc.relation.journal Theoretical and Computational Fluid Dynamics

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