A Model for Electro-osmotic Flow of Pseudoplastic Nanofluids …
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the streamline distribution to the influence of enhance Debye–Hückel parameter (κ)
from κ → 0 to 1 with remaining dimensionless variables are kept fixed. From these
two plots, it is noticed that the trapped bolus vanish when there is absence of Debye–
Hückel parameter and there is progress in trapping bolus with enhancement in the
value of κ. It is inspected that a boost in Debye–Hückel parameter increases the
volume of the bolus grow and its circulation flattens.
The variation in the trapping bolus distribution for the Helmholtz–Smoluchowski
velocity U hs is exhibited in Figs. 17 and 18 with the contrast from −1 to 1. As
Helmholtz–Smoluchowski velocity strengthens, there is an escalation in the expanse
of the trapped bolus dynamics (a closer propinquity of the streamlines). This is due
to a justification that a stimulation in the strength of the axial electrical field with the
boost in U hs.
The bolus phenomenon is scrutinized in Fig. 19 and 20 for escalating values of
Gr. It is explored that the size and shape of the streamlines are enhanced to magnify
in Gr. The similar conduct for the nanoparticle Grashof number Br (see Figs. 21 and
22). Eventually, Figs. 23 and 24 illustrate the impact of dimensionless pseudoplastic
parameter (ξ varies from 0 to 0.01) on the streamline function along the channel. It is
observed that the size of closed streamlines reduced with enhancing the pseudoplastic
parameter.
6 Conclusion
This chapter presents a numerical model of peristaltic pumping of pseudoplastic
nanofluid controlled by the electroosmosis mechanism. The effects of Grashof numbers (thermal and species) on the electro-osmotic flow characteristics and electrothermal characteristics have been discussed to examine the role of gravitational forces.
The effects of thermal radiations and Joule heating on thermal characteristics are analyzed and explained. The impact of Biot numbers on the thermal characteristics is
computed to analyze the nature of convective boundary conditions. Furthermore, the
influences of various pertinent parameters on trapping phenomenon are simulated. It
is observed that flow characteristics can be altered by the electroosmosis mechanism.
It is also noted that the thermal temperature enlarges with increase in the Joule heating parameter and fluid temperature rise and with an increase in thermal radiation
effects. It is further noticed that fluid temperature enhances with an increase in the
heat transfer Biot number at the right wall and reversed nature is noted at the left wall.
Finally, it is observed that the size and circulation of the trapped boluses increase
with the increase in the Debye–Hückel parameter (inverse of EDL thickness/Debye
length) and pseudoplastic parameter. The outcomes demonstrate a promising use of
this model in analyzing the real-time behavior of bioinspired-micro-peristaltic pumps
and energy-lab-on-chip devices which may also be exploited for thermal transport
in energy systems and smart drug delivery systems, etc.
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the streamline distribution to the influence of enhance Debye–Hückel parameter (κ)
from κ → 0 to 1 with remaining dimensionless variables are kept fixed. From these
two plots, it is noticed that the trapped bolus vanish when there is absence of Debye–
Hückel parameter and there is progress in trapping bolus with enhancement in the
value of κ. It is inspected that a boost in Debye–Hückel parameter increases the
volume of the bolus grow and its circulation flattens.
The variation in the trapping bolus distribution for the Helmholtz–Smoluchowski
velocity U hs is exhibited in Figs. 17 and 18 with the contrast from −1 to 1. As
Helmholtz–Smoluchowski velocity strengthens, there is an escalation in the expanse
of the trapped bolus dynamics (a closer propinquity of the streamlines). This is due
to a justification that a stimulation in the strength of the axial electrical field with the
boost in U hs.
The bolus phenomenon is scrutinized in Fig. 19 and 20 for escalating values of
Gr. It is explored that the size and shape of the streamlines are enhanced to magnify
in Gr. The similar conduct for the nanoparticle Grashof number Br (see Figs. 21 and
22). Eventually, Figs. 23 and 24 illustrate the impact of dimensionless pseudoplastic
parameter (ξ varies from 0 to 0.01) on the streamline function along the channel. It is
observed that the size of closed streamlines reduced with enhancing the pseudoplastic
parameter.
6 Conclusion
This chapter presents a numerical model of peristaltic pumping of pseudoplastic
nanofluid controlled by the electroosmosis mechanism. The effects of Grashof numbers (thermal and species) on the electro-osmotic flow characteristics and electrothermal characteristics have been discussed to examine the role of gravitational forces.
The effects of thermal radiations and Joule heating on thermal characteristics are analyzed and explained. The impact of Biot numbers on the thermal characteristics is
computed to analyze the nature of convective boundary conditions. Furthermore, the
influences of various pertinent parameters on trapping phenomenon are simulated. It
is observed that flow characteristics can be altered by the electroosmosis mechanism.
It is also noted that the thermal temperature enlarges with increase in the Joule heating parameter and fluid temperature rise and with an increase in thermal radiation
effects. It is further noticed that fluid temperature enhances with an increase in the
heat transfer Biot number at the right wall and reversed nature is noted at the left wall.
Finally, it is observed that the size and circulation of the trapped boluses increase
with the increase in the Debye–Hückel parameter (inverse of EDL thickness/Debye
length) and pseudoplastic parameter. The outcomes demonstrate a promising use of
this model in analyzing the real-time behavior of bioinspired-micro-peristaltic pumps
and energy-lab-on-chip devices which may also be exploited for thermal transport
in energy systems and smart drug delivery systems, etc.