One of the simplest problems involving external vorticity in boundary layer flows is flow over a semi-infinite plate under stream uniform shear. We study transient growth phenomenon this to investigate role freestream shear on energy amplification and analyze differences with Blasius flow. The initial optimal disturbance that triggers maximum found be streamwise vortices, as other flows. Compar...

This paper analyzes the radiation and chemical reaction effects on MHD steady two-dimensional laminar viscous incompressible radiating boundary layer flow over a flat plate in the presence of internal heat generation and convective boundary condition. It is assumed that lower surface of the plate is in contact with a hot fluid while a stream of cold fluid flows steadily over the upper surface w...

The mechanical response of a wet granular layer to imposed shear is studied experimentally at low applied normal stress. The granular material is immersed in water and the shear is applied by sliding a plate resting on the upper surface of the layer. We monitor simultaneously the horizontal and the vertical displacements of the plate to submicron accuracy with millisecond time resolution. The r...

This paper presents analytical and numerical studies demonstrating that a perfectly conducting metallic plate perforated by a periodic array of subwavelength holes and sandwiched in between two dielectric slabs permits enhanced transmission of electromagnetic plane waves in both the optical and microwave regimes, and this for both transverse magnetically and electrically polarized fields. The e...

Buckling and vibrational behaviour of non-homogeneous orthotropic rectangular plates of variable thickness having two opposite edges (y = 0 and b) simply supported and these are subjected to constant in-plane force have been analyzed on the basis of classical plate theory. The other two edges (x = 0 and a) may be clamped, simply supported or free. For nonhomogeneity of the plate material, Young...

The mechanical response of a wet granular layer to imposed shear is studied experimentally at low applied normal stress. The granular material is immersed in water and the shear is applied by sliding a plate resting on the upper surface of the layer. We monitor simultaneously the horizontal and the vertical displacements of the plate to submicron accuracy with millisecond time resolution. The r...

Abstract We discuss Meyers-Serrin’s type results for smooth approximations of functions $$b=b(t,x): \mathbb {R}\times {R}^n\rightarrow {R}^m$$ b = ( t , x ) : R <m...