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This paper is devoted to the study of the peristaltic motion of non-Newtonian fluid with heat and mass transfer through a porous medium in the channel under the effect of magnetic field. A modified Casson non-Newtonian constitutive model is employed for the transport fluid. A perturbation series’ method of solution of the stream function is discussed. The effects of various parameters of interest such as the magnetic parameter, Casson parameter, and permeability parameter on the velocity, pressure rise, temperature, and concentration are discussed and illustrated graphically through a set of figures.

Peristaltic motion is a phenomenon that occurs when expansion and contraction of an extensible tube in a fluid generate progressive waves which propagate along the length of the tube, mixing and transporting the fluid in the direction of wave propagation. In some biomedical instruments, such as heart-lung machines, peristaltic motion is used to pump blood and other biological fluids [

The main aim of this work is to study the peristaltic motion of non-Newtonian fluid with heat and mass transfer through a porous medium in the channel under the effect of magnetic field. A modified Casson non-Newtonian constitutive model is employed for the transport fluid. A perturbation series’ method of solution of the stream function is discussed. The effects of various parameters of interest such as the magnetic parameter, Casson parameter, and permeability parameter on the velocity, pressure rise, and temperature are discussed and illustrated graphically through a set of figures.

Consider the peristaltic motion of non-Newtonian fluid through a porous medium in two-dimensional channel, having width

Sketch of the problem.

Consider

The equations governing the fluid motion can be written as follows.

The continuity equation is

The momentum equations are

The energy equation is

The concentration equation is

Lorentz force:

The appropriate boundary conditions are

Using the following nondimensional variables:

with the boundary conditions

Now, we shall define a stream function

Coefficient of

Eliminating the pressure terms in (

We get

In this work, we have studied the effect of different parameters of the considered problem on the solutions of the momentum, heat, and mass equations. This discussion is illustrated graphically through a set of Figures

The velocity

The velocity is plotted against the time for different values of

The velocity

The velocity

The velocity

The velocity

The velocity

The velocity

The velocity

The velocity

The velocity

The velocity

The temperature

The temperature

The temperature

The temperature

The temperature

The temperature

The concentration distribution

The concentration distribution

The concentration distribution

The concentration distribution

The concentration distribution

The concentration distribution

The authors declare that there is no conflict of interests regarding the publication of this paper.