fields in biomedicine applications like drug design, and pumping of blood in heart and lung devices; so, numerical

and physiological analysis on electro-osmotic peristaltic pumping of magnetic Sutterby Nanofluid is considered.

Such a fluid model has not been studied before in peristaltic. The applied system of differential equations is

obtained by using controls of low Reynolds number and long wavelength. Simulations for a given system are

counted using two high-quality techniques, the Finite difference technique (FDM) and the Generalized Differential

transform method (Generalized DTM). Vital physical parameters effects on the profiles of velocity, temperature,

and Nanoparticle concentration have schemed in two different states of Sutterby fluid, the first is dilatant fluid at

Generalized-DTM and literature results are given in nearest published results have been made, and found to be

excellent. The discussion puts onward a crucial observation, that the velocity of blood flow can be organized by

Nowadays, non-Newtonian fluid has a vital role in

many engineering processes and physiological

applications as the modelers, physicians, engineers,

and academic's interested. Sutterby fluid is a sub-

class of non-Newtonian fluid and it's considered a

framework that demonstrates dilute polymer

solutions and is utilized to investigate the properties

The authors in, [4], [5], introduce a new mechanism

of the peristaltic model of non-Newtonian fluid with

addressed the influence of the electro-magneto-

hydrodynamic fluid flow in the presence of wall slip

effects. Many vital applications of electroosmosis can

designates the fluid flow concludes a porous

medium. Henry Darcy's Law in the eighteenth

century was constructed on the results of experiments

on the flow of water concluded a sand medium. In

addition, they form the scientific basis for fluid

permeability utilized in earth sciences, expressly in

hydrogeology. Darcy's law has many applications,

one of them is the flow of water in an aquifer.

Conservation of mass equation due to Darcy's law in

the case of equals the groundwater flow equation,

improved Darcy’s law in peristaltic transport. There

are many applicants of Darcy law in the nearest

published papers, for more information, [25].

The generalized method of differential

transform method is a highly accurate technique

introduced in the last years of the last century by,

[26]. In fluid mechanics, many investigations use the

algorithms of generalized DTM to get a highly

verified result for fluid models, [27], [28], [29], [30],

[31], [32], [33], [34], [35]. To get the numerical and

case of modified Darcy's law. Three cases in our

study have been mentioned concerning the

characteristics of the proposed model. 1st order

chemical reactions and thermal radiation influences,

appear in our modeling discussion. The effects of

numerous non-dimensionless parameters of concern

are obtainable through graphs and tables.

Biomedicine interpretations of the obtainable results

are thoroughly debated, and the vital conclusions are

then abstracted.



[24] . (22)

This section is introduced to view the graphical

results and presents a numerical comparison table,

firstly the verifications of results are offered and then

analytics of results are proposed as follows:

then compute the results of distributions of velocity

and temperature. Finite difference and Generalized-

DTM technique are used to get the results of the

model offered by, [5], to verify the solutions through

3.2 Discussion of Results

MHD Sutterby fluid in the presence of generalized

Darcy's law is portrayed/computed in this section.

Generalized DTM is utilized in computing the

Figure 4, Figure 5, Figure 6, Figure 7, Figure 8,

Figure 9, Figure 10, Figure 11, Figure 12, Figure 13,

Figure 14, Figure 15, Figure 16, Figure 17, Figure

18, Figure 19.

Figure 3, Figure 4, Figure 5, Figure 6. Firstly, Figure

the right side of the flow channel at high values of

concentration has a dual phenomenon in case of

Fig. 9: Temperature (󰇛󰇜) distribution against.

Fig. 15: Concentration (󰇛󰇜) distribution against .

the Research Groups Program under grant number

(RGP.2/60/44).

References:

[1] J. L. Sutterby, Laminar converging flow of

[4] T. Hayat, S. Ayub, A. Alsaedi, A. Tanveer and

[5] T. Hayat, Hina Zahir, M. Mustafa and A.