Thick Axisymmetric Turbulent Boundary Layer and Wake of a Low-drag Body


Book Description

Detailed measurements of pressure distributions, mean velocity profiles and Reynolds stresses were made in the thick, axisymmetric boundary layer and the near wake of a low-drag body of revolution. These measurements shed some light on the joint influence of transverse and longitudinal surface curvatures and pressure gradients on the boundary-layer development and on the manner in which an axisymmetric boundary layer becomes a fully-developed wake. The present data have been used to provide an independent check on the accuracy of the simple integral method proposed by Patel, and its extension to the calculation of the near wake made by Nakayama, Patel and Landweber. Calculations have also been performed using the differential equations of the thick axisymmetric turbulent boundary layer and a rate equation for the Reynolds stress derived from the turbulent kinetic-energy equation along the lines suggested by Bradshaw and others. It is shown that the boundary layer in the tail region of a body of revolution is dominated by the extra strain rates arising from longitudinal and transverse surface curvatures. A new differential method is incorporated into the iterative procedure developed by Nakayama, Patel and Landweber for the solution of the interaction between the boundary layer, the wake and the external inviscid flow. The results of the iterative method have been compared with the experimental data obtained from the present low-drag body and those obtained earlier on a modified spheroid to demonstrate agreement. (Author).




Thick Axisymmetric Turbulent Boundary Layer and Near Wake of a Low-drag Body of Revolution


Book Description

Detailed measurements of pressure distributions, mean velocity profiles and Reynolds stresses were made in the thick, axisymmetric boundary layer and the near wake of a low-drag body of revolution. The data are presented in graphical as well as tabular form for convenience in later analysis. These measurements shed some light on the joint influence of transverse and longitudinal surface curvatures and pressure gradients on the boundary-layer development and on the manner in which an axisymmetric boundary layer becomes a fully-developed wake. Apart from giving a complete set of data on such an important flow configuration, the measurements should provide a fairly rigorous test case for some of the recent turbulence closure models which claim a level of generality not achieved by the older phenomenological models. By inclusion of recently proposed modifications to account for the effects of the extra rates of strain on the turbulence length scale arising from longitudinal and transverse surface curvatures, it is shown that the boundary layer in the tail region of a body of revolution is dominated by the extra strain rates and that more research is needed to account for them properly even in the most recent calculation procedures.







Turbulent Shear Flows I


Book Description

The present book contains papers that have been selected from contributions to the First International Symposium on Turbulent Shear Flows which was held from the 18th to 20th April 1977 at The Pennsylvania State University, University Park, Pennsylvania, USA. Attend ees from close to 20 countries presented over 100 contributions at this meeting in which many aspects of the current activities in turbulence research were covered. Five topics received particular attention at the Symposium: Free Flows Wall Flows Recirculating Flows Developments in Reynolds Stress Closures New Directions in Modeling This is also reflected in the five chapters of this book with contributions from research workers from different countries. Each chapter covers the most valuable contributions of the conference to the particular chapter topic. Of course, there were many additional good con tributions to each subject at the meeting but the limitation imposed on the length of this volume required that a selection be made. The realization of the First International Symposium on Turbulent Shear Flows was p- sible by the general support of: U. S. Army Research Office U. S. Navy Research Office Continuing Education Center of The Pennsylvania State University The conference organization was carried out by the organizing committee consisting of: F. Durst, Universitat Karlsruhe, Karlsruhe, Fed. Rep. of Germany V. W. Goldschmidt, Purdue University, West Lafayette, Ind. , USA B. E. Launder, University of California, Davis, Calif. , USA F. W. Schmidt, Pennsylvania State University, University Park, Penna.







NBS Special Publication


Book Description










Computation of Velocity and Pressure Variation Across Axisymmetric Thick Turbulent Stern Flows


Book Description

When the curvature of a ships surface is large and the stern boundary layer is thick the cross-stream inviscid velocity and pressure variation becomes important in stern boundary layer computations. Two viscous-inviscid interaction computation procedures are presented. One uses a marching technique in a natural streamline coordinate system together with the turbulence model to solve the axisymmetric Reynolds-averaged parabolized Navier-Stokes equations for the streamline velocity (u) flow angle curvature, and hence the pressure (p). The numerical procedure starts at a station on the body where the boundary layer is thin and marches downstream into the wake. The boundary conditions for the values of u and p over the inlet plane and along a cylindrical stream surface outside the boundary layer/wake are set by the appropriate values obtained from the other simple viscous-inviscid interaction computations using a modified thin boundary layer method and potential flow calculations about an equivalent displacement body. Comparisons of measured axial and radial velocity and pressure distributions and those computed by the simple interaction approximations and partially parabolized techniques have been made. The simple and efficient viscous-inviscid procedure for the computation of velocity and pressure variations across thick turbulent stern flows has been shown to be accurate enough to use as a preliminary design tool. Originator supplied keywords include: Thick turbulent stern flows, boundary layer; turbulence modeling; viscous-inviscid flow interaction; axisymmetric flows.