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Spatiotemporal Growth of Laminar Boundary Layers in a Concentric Annulus

Asim, Taimoor, Mishra, Rakesh and Rao, Vasu (2012) Spatiotemporal Growth of Laminar Boundary Layers in a Concentric Annulus. In: Proceedings of The Queen’s Diamond Jubilee Computing and Engineering Annual Researchers’ Conference 2012: CEARC’12. University of Huddersfield, Huddersfield, UK, pp. 86-90. ISBN 978-1-86218-106-9

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      Abstract

      Vortex rings are fascinating fluid flow phenomena occurring in nature. To accurately predict the dynamic behavior of such rings, researchers have been postulating analytical models and carrying out a huge number of experiments over the last couple of decades. It is an established fact that the most important feature of the flow that dictates the generation, and hence propagation, of vortex rings is in fact the growth of the boundary layer. As far as the generation process of these rings is concerned, Rayleigh’s analytical solution to the Navier-Stokes equations for impulsive motion of fluid over a flat plate is considered as a benchmark for the development of dynamic models. The limitation of using Rayleigh’s solution is that it is valid only at the edge of the boundary layer where the velocity of the boundary layer flow is nearly equal to the potential flow velocity. There is a need to develop a solution for the Navier-Stokes equations inside the boundary layer. Based on Computational Fluid Dynamics, an empirical model for the solution of the Navier-Stokes equations inside the boundary layer is presented here. The flow under consideration is Laminar in a concentric annular pipe. It has been concluded that the Rayleigh’s solution is applicable to the flow in annuls as well.

      Item Type: Book Chapter
      Uncontrolled Keywords: boundary layer thickness, annular flow, CFD
      Subjects: T Technology > TJ Mechanical engineering and machinery
      Schools: School of Computing and Engineering > Automotive Engineering Research Group
      School of Computing and Engineering > Computing and Engineering Annual Researchers' Conference (CEARC)
      School of Computing and Engineering > Diagnostic Engineering Research Centre
      School of Computing and Engineering > Diagnostic Engineering Research Centre > Energy, Emissions and the Environment Research Group
      School of Computing and Engineering > Diagnostic Engineering Research Centre > Machinery Condition and Performance Monitoring Research Group
      School of Computing and Engineering > Diagnostic Engineering Research Centre > Measurement System and Signal Processing Research Group
      School of Computing and Engineering > Informatics Research Group
      School of Computing and Engineering > Informatics Research Group > XML, Database and Information Retrieval Research Group
      School of Computing and Engineering > Pedagogical Research Group
      School of Computing and Engineering
      Related URLs:
      Depositing User: Taimoor Asim
      Date Deposited: 15 May 2012 14:13
      Last Modified: 15 May 2012 14:21
      URI: http://eprints.hud.ac.uk/id/eprint/13589

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