Radiative bioconvection nanofluid squeezing flow between rotating circular plates : semi-numerical study with the DTM-Padé approach

Zeeshan, A; Arain, MB; Bhatti, MM; Alzahrani, F; Beg, OA

Abstract

Modern biomedical and tribological systems are increasingly deploying combinations of
nanofluids and bioconvecting micro-organisms which enable improved control of thermal management.
Motivated by these developments, in this study a new mathematical model is developed for the combined
nanofluid bioconvection axisymmetric squeezing flow between rotating circular plates (an important
configuration in, for example, rotating bioreactors and lubrication systems). The Buongiorno twocomponent nanoscale model is deployed, and swimming gyrotactic microorganisms are considered which
do not interact with the nanoparticles. Thermal radiation is also included, and a Rosseland diffusion flux
approximation utilized. Appropriate similarity transformations are implemented to transform the
nonlinear, coupled partial differential conservation equations for mass, momentum, energy, nanoparticle
species and motile micro-organism species under suitable boundary conditions from a cylindrical
coordinate system, into a dimensionless nonlinear ordinary differential boundary value problem. An
efficient scheme known as Differential Transform Method (DTM) combined with Padé-approximations is then applied to solve the emerging nonlinear similarity equations. The impact of different nondimensional parameters i.e. squeezing Reynolds number, rotational Reynolds number, Prandtl number,
thermophoresis parameter, Brownian dynamics parameter, thermal radiation parameter, Schmidt
number, bioconvection number and Péclet number on velocity, temperature, nanoparticle concentration
and motile gyrotactic microorganism density number distributions are computed and visualized
graphically. The torque effects on both plates, i.e., the lower and the upper plate, are also determined.
From the graphical results it is seen that momentum in the squeezing regime is suppressed clearly as the
upper disk approaches the lower disk. This inhibits the axial flow and produces axial flow retardation.
Similarly, by enhancing the value of squeezing Reynolds number, the tangential velocity distribution also
decreases. More rigorous squeezing clearly therefore also inhibits tangential momentum development in
the regime and leads to tangential flow deceleration. Tables are also provided for multiple values of flow
parameters. The numerical values obtained by DTM-Padé computation show very good agreement with
Shooting quadrature. DTM-Padé is shown to be a precise and stable semi-numerical methodology for
studying rotating multi-physical flow problems. Radiative heat transfer has an important influence on the
transport characteristics. When radiation is neglected different results are obtained. It is important
therefore to include radiative flux in models of rotating bioreactors and squeezing lubrication dual disk
damper technologies since high temperatures associated with radiative flux can impact significantly on
combined nanofluid bioconvection which enables more accurate prediction of actual thermofluidic
characteristics. Corrosion and surface degradation effects may therefore be mitigated in designs.

Citation

Zeeshan, A., Arain, M., Bhatti, M., Alzahrani, F., & Beg, O. (2022). Radiative bioconvection nanofluid squeezing flow between rotating circular plates : semi-numerical study with the DTM-Padé approach. Modern Physics Letters B, 36(03), 2150552. https://doi.org/10.1142/S0217984921505527

• Journal Article Type: Article
• Acceptance Date: Oct 18, 2021
• Online Publication Date: Dec 13, 2021
• Publication Date: Jan 30, 2022
• Deposit Date: Oct 18, 2021
• Publicly Available Date: Dec 13, 2022
• Journal: Modern Physics Letters B
• Print ISSN: 0217-9849
• Electronic ISSN: 1793-6640
• Publisher: World Scientific Publishing
• Volume: 36
• Issue: 03
• Pages: 2150552
• DOI: https://doi.org/10.1142/S0217984921505527
• Publisher URL: https://doi.org/10.1142/S0217984921505527
• Related Public URLs: https://www.worldscientific.com/worldscinet/mplb
• Additional Information: Access Information : Electronic version of an article published as Modern Physics Letters B, online ready, https://doi.org/10.1142/S0217984921505527 © copyright World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/mplb