Let us first give a heuristic estimates of boundary layer in steady flows. Consider a particle near the wall to be influenced by viscosity. After traveling a distance x from the edge, it has been under viscous influence for a time of t = x/U . Let U be large. For finite x, t is small so that vorticity is spread sideways to the width (νt) ∼ (νx/U). Let us define this width to be the boundary lay...

An analysis has been carried out for the characteristics of melting heat transfer in the boundary layer flow of third grade fluid in a region of stagnation point past a stretching sheet. The relevant partial differential equations are reduced into ordinary differential system by suitable transformations. The series solutions are developed by homotopy analysis method. It is revealed that an incr...

We study the asymptotic behavior of the infinite Darcy-Prandtl number DarcyBrinkman-Boussinesq system for convection in porous media at small Brinkman-Darcy number. The existence of a boundary layer with thickness proportional to the square root of the BrinkmanDarcy number for the velocity field is established in both the L∞(H1) norm (2 and 3 d) and the L∞(L∞) norm (2d only). This improves an e...

As pointed out in the pioneering experimental work of Clauser [1], self-similar or, equivalently, equilibrium turbulent boundary layer flows may be non-unique in a certain range of the controlling parameters: Specifically, Clauser observed that if the imposed (adverse) pressure gradient varies as a power of the streamwise distance in order to maintain equilibrium and if the associated exponent ...

A correlation is obtained for the drag coefficient c ′f of the turbulent boundary layer as a function of the effective boundary layer Reynolds number Re that we previously introduced. A comparison is performed also with another correlation for the drag coefficient as a function of the traditional Reynolds number Reθ , based on the momentum thickness of the boundary layer proposed recently by R....

The effect of boundary layer thickness on diamond film formation in an atmospheric pressure plasma was investigated by adding argon to the methane-hydrogen reactant jet so as to increase the jet momentum. It was found that argon addition significantly increased the range of conditions over which well-faceted, continuous diamond film could be grown. A numerical model was developed to predict the...

We study the behaviour of the steady-state voltage potential in a material composed of a two-dimensional object surrounded by a rough thin layer and embedded in an ambient medium. The roughness of the layer is supposed to be ε–periodic, ε being the magnitude of the mean thickness of the layer, and α a positive parameter describing the degree of roughness. For ε tending to zero, we determine the...

Optical coherence tomography (OCT) has become one of the most common tools for diagnosis of retinal abnormalities. Both retinal morphology and layer thickness can provide important information to aid in the differential diagnosis of these abnormalities. Automatic segmentation methods are essential to providing these thickness measurements since the manual delineation of each layer is cumbersome...