Fractional calculus is a branch of mathematics that develops from the usual definitions integral and derivative operators, just as fractional exponents emerge integer exponents. The has been successfully used to describe various fundamental processes, including coiling polymer, viscoelasticity, traffic construction, diffusive transport, fluid dynamics, electromagnetic theory electrical networks...

We present linear stability analysis of a pressure-driven flow in fluid-layer overlaying porous media the presence Couette component introduced by an upper impermeable wall. model dynamics Brinkman equation and couple it with Navier–Stokes for flows fluid-layer. The effect on is discussed detail varying permeability relative thickness fluid to layers. results show that changes from destabilizin...

In this paper, the acoustic wave motion characteristics of Lamb and SH waves in functionally graded (FG) anisotropic micro/nano-plates are studied based on modified couple stress theory. A higher efficient computational approach, extended Legendre orthogonal polynomial method (LOPM) is utilized to deduce solving process. This does not need solve FG hierarchically, which provides a more realisti...

The multi-scale microstructure of a lotus leaf is rendered non-wetting by micro-protrusions and nano-hairs present on its surface. The mechanical properties of the surface become important since the water droplet has to be supported on the micro-protrusions without wetting the surface. Current work correlates the non-wetting behavior of the lotus leaf with its mechanical properties (Young's mod...

An analytical model is developed to study the viscoelastic micropolar fluid convection from an inclined plate as a simulation of electro-conductive polymer materials processing with nonlinear temperature. Jeffery’s viscoelastic model is deployed to describe the non-Newtonian characteristics of the fluid and provides a good approximation for polymers. Micro-structural is one of the characteristi...

in this study, the vibration behavior of functional graded (fg) circular and annular nanoplate embedded in a visco-pasternak foundation and coupled with temperature change is studied. the effect of in-plane pre-load and temperature change are investigated on the vibration frequencies of fg circular and annular nanoplate. to obtain the vibration frequencies of the fg circular and annular nanopla...