Effects of dissipation on heat transfer due to second order boundary layer flows

Heat and Mass Transfer - Effects of dissipation on heat transfer due to second order effects of longitudinal curvature, transverse curvature, displacement speed, external vorticity and stagnation...     

Second-order boundary-layer solutions for flow past a blunted wedge

The second-order effects of the longitudinal curvature and displacement for flow past a blunted wedge have been studied employing the Görtler power series in streamwise coordinate, σ. The first five terms for each of the effects have been computed. The results, in general, have a restricted region of validity in the downstream direction due to the limited radius of convergence. The results are improved by using Euler transformation technique and it is found that the results are good even as σ→∞. For a parabola, the present results are compared with the exact numerical solution of the Navier-Stokes equations and it is shown that the second-order boundary-layer equations can be usefully employed down to Reynolds number 10³.     

Second-order thermal boundary-layer on a blunted wedge

Summary Second-order thermal boundary-layer solutions are obtained for flow past a blunted wedge with constant wall temperature. Contributions due to longitudinal curvature and displacement effect are obtained by employing the Görtler power series method. The first five terms of the series for each of the effects are computed. Since the region of validity of the results thus obtained is restricted in the streamwise direction, Eulerization technique is used to extend the radius of convergence to infinity.

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Zusammenfassung Die thermische Grenzschichtlösung zweiter Ordnung wurde für die Strömung an einem abgestumpften Keil mit konstanter Temperatur bestimmt. Die Beiträge wegen Krümmung und Verdrängungsdicke wurden erhalten; die Methode der Görtler'schen Reihe wurde verwendet. Für jeden Effekt wurden die fünf ersten Koeffizienten berechnet. Da die Gültigkeit der Ergebnisse für grosse Werte der Variablen in Strömungsrichtung begrenzt ist, wurde die Technik der Euler'schen Konvergenzverbesserung verwendet, um den Konvergenzradius bis ins Unendliche zu erstrecken.

     

Second-order thermal boundary-layer on a blunted wedge

Second-order thermal boundary-layer solutions are obtained for flow past a blunted wedge with constant wall temperature. Contributions due to longitudinal curvature and displacement effect are obtained by employing the G?rtler power series method. The first five terms of the series for each of the effects are computed. Since the region of validity of the results thus obtained is restricted in the streamwise direction, Eulerization technique is used to extend the radius of convergence to infinity.