MHD compressible fluid with variable thermal conductivity through a ciliated channel

This paper employs to discuss the cilia induced flow of a compressible Jeffrey fluid with variable characteristic of thermal conductivity. Thermal conductivity is thermally variable. Effects of thermal radiation and MHD are also explored. The velocity slip at the wall is also considered. Flow equations have been modeled mathematically and tackled analytically using regular perturbation method. A proper attention is given to plot and discuss the behavior of quantities of interest against the relevant parameters. We explore growth of temperature with Mach number but this growth is strongly visible in supersonic regime as compared to the subsonic regime. The discoveries of the current model have noteworthy yields, which can be pertinent in various areas of aircraft industry, geophysics, biological transport processes, and in the operation of other mechanical devices.