Mass transport on chemicalized fourth-grade fluid propagating peristaltically through a curved channel with magnetic effects

This paper communicates the mass transport on chemicalized fourth-grade fluid model propagating peristaltically through a curved channel in the presence of an external magnetic field. The normalized governing equations of mass, momentum, and concentration are simplified using lubrication approximations (i.e. “a long wavelength and small (or zero) Reynolds number”). The resulting equations are featuring the nonlinear third order derivative in axial velocity presenting contributions of the fourth-grade fluid model. Coordinate transformations have been employed to map the governing equations from fixed frame to wave frame. The obtained nonlinear boundary value problem is solved using a regular perturbation method and presented the expressions for velocity distribution, pressure gradient, and concentration distribution. Numerical results are explored using a computational software Mathematica. Trapping mechanism is also discussed by drawing streamlines. Streamlines have a vital importance in the analysis of fluid flow. The present model is beneficial in the study of intrauterine fluid dynamics as well as it is also applicable in vivo diagnostic, drug delivery, food diagnostic, protein chips, DNA chips, cell chips and packaging, i.e., smart sensors.