Bioconvective unsteady fluid flow across concentric stretching cylinders with thermal-diffusion and diffusion-thermo effects

Abstract

The current study emphasizes bioconvective viscous fluid flow between two horizontal deformable cylinders. At the cylindrical walls, the Newtonian heat and mass condition with velocity slip is examined. The thermal and solutal transfer is optimized by amalgamating Soret–Dufour effects with variable heat source/sink. The equations that regulate the flow are simplified via appropriate transformations. The bvp4c algorithm is employed to obtain the numerical solution. The ramifications of the emerging parameters are portrayed graphically. Numerical values for drag force coefficient, heat flux, mass flux, and local motile density numbers are enumerated in tabulated form. Axial velocity accelerates on varying the unsteadiness parameter. The thermal field elevates by augmenting the Dufour number and thermal conjugate parameter. The drag force coefficient exhibits a decreasing behavior on enhancing the unsteadiness and velocity slip parameters. An opposite behavior is exhibited by heat and mass flux on amplifying the Soret and Dufour number. Motile density deteriorates on elevating the Lewis number and unsteadiness parameter. A substantial correlation has been noticed by graphically comparing the results of this study with the previous literature.

Keywords:

• Concentric cylinders
• microorganisms
• Newtonian heat and mass condition
• Soret–Dufour effect
• unsteady flow
• variable heat source/sink

Disclosure statement

The authors state that they have no known competing financial interests or personal ties that could appear to have influenced the work described in this study.

Authors’ contributions

M.R., supervised and conceived the idea; N.S., wrote the manuscript; H.A.S.G., helped in editing, and validation; M. A., and C. A. S., helped revising/editing the manuscript.

Availability of data and materials

No datasets were generated or analyzed during the current study.

Additional information

Funding

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University (KKU) for funding this work through the Research Group Program Under the Grant Number: (R.G.P.1/224/43).