We present results from a highly resolved large-eddy simulation of freely developing Blasius profile over concave boundary in large spanwise domain. Due to the initial Reynolds and Görtler numbers (Reθ,0 = 1175, Gθ,0 75), we observe onset two dominant wavelengths: first dominating linear/transition region, λ1, second turbulent λ2. Extending previous linear stability analysis (LSA) higher non-di...

Direct numerical simulation is used to investigate the nature and behaviour of steady spanwise flow modulations excited internally in the Blasius boundary layer, primarily for a Reynolds number based on the displacement thickness ( Æ ) greater than 1,600. Both types of disturbances known – -/streak-/Klebanoff modes or longitudinal vortex modes – exhibit a periodic spanwise variation, but the -m...

In an earlier paper in Entropy [1] we hypothesized that the entropy generation rate is the driving force for boundary layer transition from laminar to turbulent flow. Subsequently, with our colleagues we have examined the prediction of entropy generation during such transitions [2,3]. We found that reasonable predictions for engineering purposes could be obtained for flows with negligible strea...

We use momentum-transfer arguments to predict the friction factor f in two-dimensional turbulent soap film flows with rough boundaries (an analog of three-dimensional pipe flow) as a function of Reynolds number Re and roughness r , considering separately the inverse energy cascade and the forward enstrophy cascade. At intermediate Re, we predict a Blasius-like friction factor scaling of f propo...

In his 1982 paper, Ogus defined a class of cycles in the de Rham cohomology of smooth proper varieties over number fields. This notion is a crystalline analogue of `-adic Tate cycles. In the case of abelian varieties, this class includes all the Hodge cycles by the work of Deligne, Ogus, and Blasius. Ogus predicted that such cycles coincide with Hodge cycles for abelian varieties. In this paper...

In physics and fluid mechanics, the boundary layer is the fluid layer in the immediate vicinity of a bounding surface. It is important in many aerodynamic problems. This work presents a numerical simulation of the two-dimensional laminar boundary-layer problem considering a steady incompressible flow with no-slip condition on the surface. The adaptive mesh refinement is performed by Autonomous ...

The length factor artificial neural network method for solving differential equations has previously been shown to successfully solve boundary value problems involving partial differential equations. This manuscript extends the method to solve coupled systems of partial differential equations, including accurate approximation of local Nusselt numbers in boundary layers and solving the Navier-St...