This paper presents a nonlinear mathematical model for evolution of wrinkle patterns of an anisotropic crystal film on a viscoelastic substrate layer. The underlying mechanism of wrinkling has been generally understood as a stress-driven instability. Previously, theoretical studies on wrinkling have assumed isotropic elastic properties for the film. Motivated by recent experimental observations...

The problems of steady film condensation on a vertical surface embedded in a thin porous medium with anisotropic permeability filled with pure saturated vapour are studied analytically by using the Brinkman-Darcy flow model. The principal axes of anisotropic permeability are oriented in a direction that non-coincident with the gravity force. On the basis of the flow permeability tensor due to t...

Most of the structures in Civil Engineering consists in assemblies of deformable bodies, thus it is of interest to dispose of efficient models of junctions between deformable solids. The classical schemes of Continuum Mechanics lead to boundary value problems involving several parameters, one being essential: the (low) thickness of the layer filled by the adhesive. For usual behaviors of the ad...

This paper presents theoretical and experimental results on the problem of bounded acoustic beam reflection at the Rayleigh angle from a fluid-solid interface which is loaded by a thin solid layer. The theoretical development exploits the framework of existing theory to yield a simple, analytic model which is reasonably accurate for thin layers. It is shown that the influence of the layer is co...

In recent years, the Indian Ocean (IO) has been discovered to have a much larger impact on climate variability than previously thought. This paper reviews processes in which the IO is, or appears to be, actively involved. We begin the mathematical model with a pattern for summer monsoon winds. Three dimensional temperature and velocity fields are calculated analytically for the ocean forced by ...

The retention parameters of seven monoand nine ditetrazolium salts were investigated by reversed-phase liquid chromatography (RP-LC) using polyethylene-coated alumina support with various concentration of eluent-mixtures and by reversedphase thin-layer chromatography (RP-TLC) using the same support and eluent-mixtures. Principal component analysis (PCA) followed by non-linear mapping (NLM) and ...

the objective of this study was to investigate the drying kinetics of oyster mushroom, pleurotus ostreatus mushrooms were dried using a cabinet-type convective dryer. air temperatures of 50, 60 and 70 oc were used for the drying experiments. the experimental drying data were fitted to different theoretical models to predict the drying kinetics. nonlinear regression analysis was performed to rel...

We use geometrical arguments based on grain boundary symmetries to introduce crystalline interfacial energies for interfaces in polycrystalline thin lms with a cubic lattice. These crystalline energies are incorporated into a multi{phase eld model. Our aim is to apply the multi{phase eld method to describe the evolution of faceted grain boundary triple junctions in epitaxially growing microstru...

In this study, the drying kinetics of saffron stigmas pretreated by atmospheric pressure cold plasma pretreatment (15, 30, 45 and 60 s) followed by hot air drying (60°C and 1.5 m/s) were modeled using 10 conventional mathematical thin layer models. The use of cold plasma pretreatment reduced drying time and enhanced effective moisture diffusivity (Deff). The most accurate models describing beha...

Since the transition from vegetative to floral development in plants is likely to be influenced by gene expression in several plant organs, we have used an in vitro system, the tobacco "thin cell layer" system as a model for investigating gene expression associated with the initiation of flowering in higher plants. cDNA cloning has been used to identify mRNAs abundant during thin cell layer flo...