Peristaltic transport of micropolar fluid through porous medium in a symmetric channel with heat and mass transfer in the presence of generation and radiation
The effect of heat generation and radiation on the peristaltic motion of micropolar fluid with heat and mass transfer through porous medium in a symmetric channel was investigated. The equations of motion for micropolar fluids were introduced as well as the equations of energy and concentration. The system of these equations written in two dimensions and then transformed using the transformations between a laboratory and fixed frames. The yield equations were solved analytically with the appropriate boundary conditions under the approximation of low Reynolds number and long wavelength. The longitudinal velocity, the microrotation velocity, the temperature and the concentration are plotted and shown graphically and discussed for different physical parameters of the problem. 
 
   
 
 Key words: Peristaltic transport, micropolar fluid, porous medium, heat and mass transfer, heat generation, thermal radiation, thermal diffusion.
Thermal diffusion and diffusion thermoeffects on the peristaltic motion of a non‐Newtonian micropolar fluid inside a nonuniform vertical channel
In this paper, the effects of Dufour and Soret numbers on the peristaltic motion of a non‐Newtonian micropolar fluid are discussed. The motion inside a nonuniform vertical channel under the effect of the uniform magnetic field is considered. The Ohmic and elastic dissipations, as well as heat generation and chemical reaction, are taken into account. The problem is modulated mathematically by using continuity, momentum, angular momentum, and heat and mass transfer equations. The nonlinear partial differential equations describing these equations are written in terms of the physical parameters of the problem. The equations are transformed from the laboratory frame to the wave frame and then written in dimensionless form. The approximations of long wavelength and small Reynolds number are applied, then the equations are solved by using the homotopy perturbation method. The velocities, stream function, temperature, and concentration distributions are obtained as functions of the physical parameters of the problem. The effect of these parameters on the obtained solutions are computed mathematically and illustrated graphically through a set of figures. It is found that the parameters play an important role in controlling the solutions. It is found that the stream function decreases by increasing both non‐Newtonian and micropolar parameters on the left side of the channel and vice versa occurs on the right side.
Investigations of dielectric gratings using electrodynamic models based on volume integral equations
Eigenmodes of planar and cylindrical dielectric gratings (DGs) and electromagnetic wave scattering from multiplayer DGs are investigated. The DG characteristics are calculated using numerical-analytical solution of integral equations (IEs).