A Model for Electro-osmotic Flow of Pseudoplastic Nanofluids …
189
flow characteristics and thermal characteristics under the influences of various flow
geometries, various fluid models, and various physical constraints.
2 Magnetohydrodynamic (MHD) Regulation of Fluid
Motion
Magnetohydrodynamics (MHD) is a well-known mechanism to explore the effect
of magnetic field on fluid flow behavior. MHD analysis explained that fluid velocity
reduces with an increase in the magnitude of magnetic field (Hartmann number).
Similarly, electrohydrodynamics (EHD) is another mechanism which explains that
how external electric field controls the fluid velocity and the direction of fluid flow.
Electroosmosis (electrohydrodynamics) which is an intricate phenomena of EHD
is defined as the bulk displacement of the liquid analogues to a stationary surface
contingent on the applied external electric field. This mechanism has wide range
of applications in design and development of microfluidics devices with application
to energy systems and biomedical technologies. The electroosmosis phenomenon
as a charged induced flow, experimentally studied in porous clay was investigated
by Reuss (1809). Later on, a mathematical theory for the electro-osmotic flow was
presented by Wiedemann (1852). An experimental study on electro-osmotic flow
in rectangular microchannel is reported by Sadr et al. (2004). It is concluded that
the electroosmosis mechanism has a curial role in the regulation of fluid flow in the
microfluidic channel. The influence of pressure on the axial velocity over the electroosmotic flows has theoretically been analyzed by Santiago (2001). The electrical
double layer effects on liquid flow via a rectangular microchannel have been studied
by Yang and Li (1998). The rheological parameter effects on electrokinetic flow are
computed by Das and Chakraborty (2006) in the presence of capillary motion through
rectangular microchannel. Recently, some mathematical models (Bandyopadhyay
and Chakraborty 2018; Ganguly et al. 2015; Shehzad et al. 2018; Zhao and Jian 2018;
Zhao et al. 2016, 2019) on electro-osmotic flow of nanofluids in microchannel and
capillary have been presented to investigate how electric field control the pressuredriven flow and heat transfer phenomenon.
3 Models of Electroosmosis-Driven Peristaltic Fluid Motion
The presence of electro-osmotic mechanism with peristaltic pumping develops a new
domain in the area of nanofluid dynamics. The combined mechanism may be useful
for bioinspired-micro-peristaltic pumps. Chakraborty (2006) established a mathematical model on peristaltic pumping in presence of thin electric double layer (EDL)
where it is concluded that the combination of electrokinetic body force and pressuredriven force due to peristaltic pumping can significantly improve the time-averaged
189
flow characteristics and thermal characteristics under the influences of various flow
geometries, various fluid models, and various physical constraints.
2 Magnetohydrodynamic (MHD) Regulation of Fluid
Motion
Magnetohydrodynamics (MHD) is a well-known mechanism to explore the effect
of magnetic field on fluid flow behavior. MHD analysis explained that fluid velocity
reduces with an increase in the magnitude of magnetic field (Hartmann number).
Similarly, electrohydrodynamics (EHD) is another mechanism which explains that
how external electric field controls the fluid velocity and the direction of fluid flow.
Electroosmosis (electrohydrodynamics) which is an intricate phenomena of EHD
is defined as the bulk displacement of the liquid analogues to a stationary surface
contingent on the applied external electric field. This mechanism has wide range
of applications in design and development of microfluidics devices with application
to energy systems and biomedical technologies. The electroosmosis phenomenon
as a charged induced flow, experimentally studied in porous clay was investigated
by Reuss (1809). Later on, a mathematical theory for the electro-osmotic flow was
presented by Wiedemann (1852). An experimental study on electro-osmotic flow
in rectangular microchannel is reported by Sadr et al. (2004). It is concluded that
the electroosmosis mechanism has a curial role in the regulation of fluid flow in the
microfluidic channel. The influence of pressure on the axial velocity over the electroosmotic flows has theoretically been analyzed by Santiago (2001). The electrical
double layer effects on liquid flow via a rectangular microchannel have been studied
by Yang and Li (1998). The rheological parameter effects on electrokinetic flow are
computed by Das and Chakraborty (2006) in the presence of capillary motion through
rectangular microchannel. Recently, some mathematical models (Bandyopadhyay
and Chakraborty 2018; Ganguly et al. 2015; Shehzad et al. 2018; Zhao and Jian 2018;
Zhao et al. 2016, 2019) on electro-osmotic flow of nanofluids in microchannel and
capillary have been presented to investigate how electric field control the pressuredriven flow and heat transfer phenomenon.
3 Models of Electroosmosis-Driven Peristaltic Fluid Motion
The presence of electro-osmotic mechanism with peristaltic pumping develops a new
domain in the area of nanofluid dynamics. The combined mechanism may be useful
for bioinspired-micro-peristaltic pumps. Chakraborty (2006) established a mathematical model on peristaltic pumping in presence of thin electric double layer (EDL)
where it is concluded that the combination of electrokinetic body force and pressuredriven force due to peristaltic pumping can significantly improve the time-averaged