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Figure 3. Figure 4. Figure 5. It has been observed that as Pr increases, temperature field decreases absolutely. Temperature field is tending to zero asymptotically. Equation 32 represents the temperature field induced by variable thermal conductivity in PHF case. This temperature field is independent of k 1 and Pr.

It varies from maximum at the plate to zero at the upper end of boundary layer. Siddiqui and M. Mishra [23]. The boundary layer flow of Walters Liquid B over linear stretching plate has been studied together with heat transfer with variable thermal conductivity. The effect of visco-elasticity k 0 has been looked upon in the Figures 1 and 2. This paper is an extension of the work due to Naseem Ahmad, Z. Sparrow and R.


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  • Boundary Layer Flow Over Elastic Surfaces Babenko Viktor V Chun Ho Hwan Lee Inwon.

Rajagopal, T. Na and A. M Bujurke, S. Biradar and P. Dhanpat and A. Ahmad, G. Patel and B.

Hydrodynamic characteristics of the boundary layer on a continuous axisymmetric elastic surface

Rollins and K. Lawrence and N. Kelly, K. Vjravelu and L. Subhas, A. Joshi and R.

yzocesagemax.ml | Boundary Layer Flow over Elastic Surfaces, Viktor V Babenko | | Boeken

CO;2-Z R. Sonth, S. Khan, A. Subhas and K. Siddheshwar and U. Abel, P. Siddheshwar and M. Combined Method of Drag Reduction -- 1. Models of Elastic Surfaces -- 2. Mechanical Characteristics of Elastomers -- 2. Methods of Measuring the Mechanical Characteristics of Elastomers -- 2. Apparatus for Measuring the Static Characteristics -- 2. Equipment for Measurement Elastomers being Stretched -- 2.

Apparatus for Compression Testing -- 2.

Bulletin of the American Physical Society

Apparatus for Measuring the Dynamic Parameters -- 2. Construction of Elastic Surfaces -- 2. Main Similarity Parameters -- 2. Measurement of Static Mechanical Characteristics of Elastomers -- 2.

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Measurement of Dynamic Characteristics of Elastomers -- 2. Determination of Elasticity by the Ball Recoil Method -- 2. Definition of the Complex of Mechanical Characteristics of Elastomers -- 2. Oscillations and Waves in Composite Elastomers -- ch. Experimental Equipment and Methods of Measurement -- 3.

Profiles of Fluctuation Velocities -- 3. Velocity Field in the Near-Wall Region -- 3. Similar visulization pictures have been obtained for rotating cones. Stuart first elucidated the features of the disturbance movement at various stages of development of a transitional boundary layer. Based on the authors' own experimental research and the results of others the breadboard model of development of CVSs in a transitional boundary layer has been developed. CVSs in a turbulent boundary layer have also been well investigated.

Original pictures of visualization of CVSs in turbulent boundary layers can be found in, as well as similar research done by other authors. A detailed analysis of CVS structure in a turbulent boundary layer was performed in and visualization pictures of CVSs by various authors shown.

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Longitudinal CVSs in the viscous sublayer of a turbulent boundary layer obtained by Klein with use of hydrogen bubbles are presented in. Srinivasan in has generalized the findings of various authors. Visualization pictures of large-scale CVSs across turbulent boundary layers are shown in. Of special interest are pictures of CVSs in turbulent boundary layers obtained in the transverse direction to the flow speed. In this work hairpin-shaped large CVSs were revealed, the spacing of which spacing was sometimes greater than that of Klein's vortices in the viscous sublayer.

As Reynolds number increased, the kind and size of these vortices changed. A correlation of the longitudinal CVSs in the viscous sublayer with the longitudinal CVSs on the external border of the turbulent boundary layer was found for the first time.

Boundary Layers

Taylor and Goertler did fundamental work on the problem of flow in the presence of centrifugal forces. Taylor focused on the problem of flow in the gap between cylinders, and Goertler concentrated on flow over curvilinear surfaces.

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Over the past 80 years this area of research developed broadly and found wide practical use. Pictures of visualization of Goertler vortices formed on concave surfaces are presented in.

The authors' experiments have shown that the properties of liquids are such that the laws of transition are similar for any kind of flow. As can be seen from Figure 1. Figure 1.

It is characteristic that these vortices are similar to vortices in a transitional boundary layer on a flat plate and to Klein's vortices in the viscous sublayer of a turbulent boundary layer. Furthermore, the reasons for and the laws determining the development of hairpin-shaped vortices are similar to those for the development of the transitional boundary layer on a flat plate. The authors' experiments have shown that the Goertler vortices that formed on a concave surface still exist after the surface changes to a horizontal plate and is influenced by the flow very far from the concave section.

These results have been confirmed by experiments with a profile in a wind tunnel, when the leading part of the profile had a concave section. Similar measurements have been made by Chomaz and Perrier [, p. The radius of curvature was 15 cm.