Analysis of Motile Gyrotactic Micro-Organisms for the Bioconvection Peristaltic Flow of Carreau–Yasuda Bionanomaterials

Abstract

Nanofluids are considered as an effective way to enhance the thermal conductivity of heat transfer fluids. Additionally, the involvement of micro-organisms makes the liquid more stable, which is important in nanotechnology, bio-nano cooling systems, and bio-microsystems. Therefore, the current investigation focused on the examination of the thermodynamic and mass transfer of a Carreau–Yasuda magnetic bionanomaterial with gyrotactic micro-organisms, which is facilitated by radiative peristaltic transport. A compliant/elastic symmetric channel subject to partial slip constraints was chosen. The features of viscous dissipation and ohmic heating were incorporated into thermal transport. We use the Brownian and thermophoretic movement characteristics of the Buongiorno nanofluid model in this study. A set of nonlinear ordinary differential equations are created from the partial differential equations that control fluid flow. The governing system of differential equations is solved numerically via the shooting technique. The results of pertinent parameters are examined through velocity, temperature, motile micro-organisms, concentration, and heat transfer rate.

Temperature‐dependent electrical conductivity impact on radiative and dissipative peristaltic transport of boron nitride‐ethylene glycol nanofluid through asymmetric channels

“…The following are the possible expressions for the governing equations of the flowing underneath study in laboratory frame $$( {X,Y} )$$ become [52– 56, 59, 60, 67–69]:…”

“…According to Zeeshan et al [41], a complicated travelling wave with zeta potential and a heat source was used to generate the electroosmosis-modulated bio flow of nanofluid through a rectangular peristaltic pump. Several attempts to describe the use of nanofluid and peristaltic flow could be identified in the literature [42][43][44][45][46][47][48][49][50][51][52][53][54][55][56].…”

Numerical study for bioconvection peristaltic flow of Sisko nanofluid with Joule heating and thermal radiation

“…The is defined by [ 28 ] where and are the coefficients of Stefan-Boltzman and absorption of mean. Expand form of can be defined as thus we have Considering stream function and using the non-dimensional variables [ 45 ] in equations (5) , (6) , (7) , (8) , (9) , (10) , (11) , (12) , (13) . We can write after omitting asterisk …”

Mathematical modelling for peristaltic flow of fourth‐grade nanoliquid with entropy generation

“…Investigations about nanofluids can be seen in the refs. [22][23][24][25][26][27][28][29][30][31][32][33].…”