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Analytical investigation of boundary layer growth and swirl intensity decay rate in a pipe

Maddahian, R ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1007/s00419-010-0424-9
  3. Abstract:
  4. In this research, the developing turbulent swirling flow in the entrance region of a pipe is investigated analytically by using the boundary layer integral method. The governing equations are integrated through the boundary layer and obtained differential equations are solved with forth-order Adams predictor-corrector method. The general tangential velocity is applied at the inlet region to consider both free and forced vortex velocity profiles. The comparison between present model and available experimental data demonstrates the capability of the model in predicting boundary layer parameters (e.g. boundary layer growth, shear rate and swirl intensity decay rate). Analytical results showed that the free vortex velocity profile can better predict the boundary layer parameters in the entrance region than in the forced one. Also, effects of pressure gradient inside the boundary layer is investigated and showed that if pressure gradient is ignored inside the boundary layer, results deviate greatly from the experimental data
  5. Keywords:
  6. Analytical solution ; Boundary layer integral method ; Swirl intensity decay rate ; Swirling flow ; Analytical investigations ; Analytical results ; Analytical solutions ; Boundary layer growth ; Decay rate ; Entrance region ; Experimental data ; Free vortices ; Governing equations ; Integral method ; Layer parameters ; Predictor-corrector methods ; Shear rates ; Swirl intensity ; Tangential velocities ; Turbulent swirling flows ; Vortex velocity ; Decay (organic) ; Differential equations ; Pipe ; Pressure gradient ; Shear deformation ; Vehicular tunnels ; Vortex flow ; Boundary layers
  7. Source: Archive of Applied Mechanics ; Volume 81, Issue 4 , 2011 , Pages 489-501 ; 09391533 (ISSN)
  8. URL: http://link.springer.com/article/10.1007%2Fs00419-010-0424-9