We present a finite difference/spectral method for the two-dimensional generalized time fractional cable equation by combining second-order backward difference in and Galerkin spectral space with Legendre polynomials. Through detailed analysis, we demonstrate that scheme is unconditionally stable. The proved to have min{2−α,2−β}-order convergence accuracy smooth solutions, where α,β are two exp...

in the current study, the immersed boundary – non-newtonian lattice boltzmann method is developed for simulation of forces act on a particle and also for computation of the particle velocity in vicinity of non-newtonian fluids. in this research, the effect of extra force due to accelerated mass is also considered in non-newtonian particle motion equations. two applied problems of power-law non-...

effects of some thermo-physical parameters on free convective heat and mass transfer over a vertical stretching surface at lowest level of heat energy in the presence of suction is investigated. the viscosity of the fluid is assumed to vary as a linear function of temperature and thermal conductivity is assumed constant. a similarity transformation is applied to reduce the governing equations i...

the excellent performance of fluidized bed heat exchangers is due to the interaction between particles and heat transfer surface and to the mixing effects in the viscous sublayer. in this paper, the results of experimental investigations on heat transfer for a wide range of newtonian and non-newtonian (shear-thinning power law) fluids are presented. new design equations have been developed for ...

Spreading of liquids and soft solids on a rigid surface in a surrounding liquid medium is investigated by utilizing the lateral sensitivity of the quartz crystal microbalance (QCM). While the QCM has been used extensively to study systems with spatial variations in the direction normal to the crystal's electrodes, few studies have exploited the QCM's ability to sense changes in loading in the p...

The recent development of algebraic explicit stress models (AESM) for viscoelastic fluids rests upon a general equilibrium assumption, by invoking a slow variation condition on the evolution of the viscoelastic anisotropy tensor (the normalized de-viatoric part of the extra-stress tensor [G. Mompean, R.L. Thompson, P.R. Souza Mendes, A general transformation procedure for differential viscoelas...

The study of mass transfer in the non-Newtonian fluid is essential understanding engine lubrication, cooling system electronic devices, and manufacturing process chemical industry. Optimal performance practical applications requires appropriate conditions. unsteady transient free convective flow second-grade with wall transpiration concerned present communication. behavior under influence injec...

in this study, a computational fluid dynamics (cfd) model was developed to evaluate ultraviolet disinfection applesauce reactor. to simulate uv reactors, three sets of equations, including hydrodynamics, radiation and species mass conservation were solved simultaneously. the realizable k-e turbulence model and the discrete ordinate method were used to find the uv radiation profile through the r...