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Turbulent flow in converging nozzles, part one: Boundary layer solution

Maddahian, R ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1007/s10483-011-1446-6
  3. Publisher: 2011
  4. Abstract:
  5. The boundary layer integral method is used to investigate the development of the turbulent swirling flow at the entrance region of a conical nozzle. The governing equations in the spherical coordinate system are simplified with the boundary layer assumptions and integrated through the boundary layer. The resulting sets of differential equations are then solved by the fourth-order Adams predictor-corrector method. The free vortex and uniform velocity profiles are applied for the tangential and axial velocities at the inlet region, respectively. Due to the lack of experimental data for swirling flows in converging nozzles, the developed model is validated against the numerical simulations. The results of numerical simulations demonstrate the capability of the analytical model in predicting boundary layer parameters such as the boundary layer growth, the shear rate, the boundary layer thickness, and the swirl intensity decay rate for different cone angles. The proposed method introduces a simple and robust procedure to investigate the boundary layer parameters inside the converging geometries
  6. Keywords:
  7. Analytical solution ; Boundary layer integral method ; Swirl intensity decay rate ; Analytical model ; Analytical solutions ; Axial velocity ; Boundary layer growth ; Boundary layer thickness ; Boundary-layer solution ; Conical nozzle ; converging nozzle ; Converging nozzles ; Decay rate ; Developed model ; Different cone angles ; Entrance region ; Experimental data ; Fourth-order ; Free vortices ; Governing equations ; Integral method ; Layer parameters ; Numerical simulation ; Predictor-corrector methods ; Robust procedures ; Shear rates ; Spherical coordinate systems ; Swirl intensity ; Turbulent swirling flows ; Velocity profiles ; Boundary layers ; Computer simulation ; Cooling systems ; Decay (organic) ; Differential equations ; Mathematical models ; Nozzles ; Shear deformation ; Swirling flow ; Atmospheric thermodynamics
  8. Source: Applied Mathematics and Mechanics (English Edition) ; Volume 32, Issue 5 , 2011 , Pages 645-662 ; 02534827 (ISSN)
  9. URL: http://link.springer.com/article/10.1007%2Fs10483-011-1446-6