The Ciliary Propulsion of An Electrically Conducting Johnson-Segalman Physiological Fluid Through A Porous Medium in An Inclined Symmetric A Channel with Slip

Abstract

Abstract The bionic systems are distinguished by electromagnetic pumping, which offers important advantages over the well-known traditional designs, whose clever ideas are inspired by the vital characteristics of many channels in living organisms. The complex features and characteristics that we observe in the mechanism of fluid transport in channels for the bodies of living organisms and the presence of cilia in the moving of these fluids and simulate this in the design of channels for non-Newtonian fluids. In our paper, we discussed this simulation in a mathematical model of the movement of a viscous, flexible, electrically conductive fluid in an inclined channel contains cilia in which a porous medium under the influence of a magnetic field. The fluidity conduct of the fluid is emulation through the Johnson-Segalman constituent model which allows interior wall slip. The coordinated and uniform motion of the ciliated brinks (which line an interior wall of the channel) is exemplified by a converging wave motion which generates a 2-dimensional velocity of the fluid. The system of partial differential equations obtained from this mathematical model with exists boundary value conditions through long wavelength and Reynolds number concepts is solved using a perturbation method.