A Model for Electro-osmotic Flow
of Pseudoplastic Nanofluids in Presence
of Peristaltic Pumping: An Application
to Smart Pumping in Energy Systems
J. Prakash, M. Gnaneswara Reddy, D. Tripathi and Abhishek Kumar Tiwari
Abstract Thermal enhancement in non-Newtonian nanofluids is a challenge which
can be observed in energy systems. Recent developments in biomimetics identified that deformable conduit structure is beneficial for sustainable energy systems.
Such recent developments in energy systems motivated the present study to discuss
the mathematical modeling of electro-osmotic flow of non-Newtonian nanofluids
through a microchannel in the presence of Joule heating and peristalsis. The model
presented in this chapter assumes that the movement of the fluids can be controlled
by electro-osmotic force generated as a result of an external electric field. A pseudoplastic fluid model is assumed as appropriate to compute the non-Newtonian effects.
Nonlinear formulation present in the model is simplified with the help of lubrication
theory and Hückel–Debye approximations. Modeled governing equations are solved
to determine the flow, temperature, and electric potential fields. The flow behavior
and thermal characteristics are simulated as a function of physical parameters. The
results are represented graphically and correlated using physical phenomena. The
significant features of pumping and trapping are also briefly addressed. The formulation of the model presented in this chapter can be useful in the experimental
designs of smart nano-electro-peristaltic pumps, in addition, it can also be extended
to nanotechnological applications, smart drug delivery systems, and various transport
phenomena of environmental systems.
Keywords Non-Newtonian model · Joule heating · Peristaltic pumping ·
Electroosmosis · Zeta potential · Energy systems
J. Prakash
Department of Mathematics, Avvaiyar Government College for Women, Karaikal 609602,
Puducherry-U.T., India
M. G. Reddy
Department of Mathematics, Acharya Nagarjuna University Campus, Ongole 523001, India
D. Tripathi (B)
Department of Mathematics, National Institute of Technology, Uttarakhand 246174, India
e-mail: dtripathi@nituk.ac.in
A. K. Tiwari
Motilal Nehru National Institute of Technology Allahabad, Prayagraj 211004, Uttar Pradesh, India
© Springer Nature Switzerland AG 2020
L. Ledwani and J. S. Sangwai (eds.), Nanotechnology for Energy and Environmental
Engineering, Green Energy and Technology,
https://doi.org/10.1007/978-3-030-33774-2_8
185
of Pseudoplastic Nanofluids in Presence
of Peristaltic Pumping: An Application
to Smart Pumping in Energy Systems
J. Prakash, M. Gnaneswara Reddy, D. Tripathi and Abhishek Kumar Tiwari
Abstract Thermal enhancement in non-Newtonian nanofluids is a challenge which
can be observed in energy systems. Recent developments in biomimetics identified that deformable conduit structure is beneficial for sustainable energy systems.
Such recent developments in energy systems motivated the present study to discuss
the mathematical modeling of electro-osmotic flow of non-Newtonian nanofluids
through a microchannel in the presence of Joule heating and peristalsis. The model
presented in this chapter assumes that the movement of the fluids can be controlled
by electro-osmotic force generated as a result of an external electric field. A pseudoplastic fluid model is assumed as appropriate to compute the non-Newtonian effects.
Nonlinear formulation present in the model is simplified with the help of lubrication
theory and Hückel–Debye approximations. Modeled governing equations are solved
to determine the flow, temperature, and electric potential fields. The flow behavior
and thermal characteristics are simulated as a function of physical parameters. The
results are represented graphically and correlated using physical phenomena. The
significant features of pumping and trapping are also briefly addressed. The formulation of the model presented in this chapter can be useful in the experimental
designs of smart nano-electro-peristaltic pumps, in addition, it can also be extended
to nanotechnological applications, smart drug delivery systems, and various transport
phenomena of environmental systems.
Keywords Non-Newtonian model · Joule heating · Peristaltic pumping ·
Electroosmosis · Zeta potential · Energy systems
J. Prakash
Department of Mathematics, Avvaiyar Government College for Women, Karaikal 609602,
Puducherry-U.T., India
M. G. Reddy
Department of Mathematics, Acharya Nagarjuna University Campus, Ongole 523001, India
D. Tripathi (B)
Department of Mathematics, National Institute of Technology, Uttarakhand 246174, India
e-mail: dtripathi@nituk.ac.in
A. K. Tiwari
Motilal Nehru National Institute of Technology Allahabad, Prayagraj 211004, Uttar Pradesh, India
© Springer Nature Switzerland AG 2020
L. Ledwani and J. S. Sangwai (eds.), Nanotechnology for Energy and Environmental
Engineering, Green Energy and Technology,
https://doi.org/10.1007/978-3-030-33774-2_8
185