Boundary layer

Brownian motion

Physics

Reynolds number

Pure mathematics

Mathematics

Heat transfer

Mechanics

Sherwood number

Optics

Statistics

Nusselt number

Thermophoresis

Homotopy analysis method

Turbulence

Parasitic drag

Cylinder

Bejan number

Materials science

Nanofluid

Geometry

Homotopy

Radiative transfer

Thermodynamics

Numerical Methods for Partial Differential Equations

In the present article, radiative Sutterby nanofluid flow over a stretchable cylinder is considered. The suspended swimming microorganisms have been deliberated in the fluid analysis. Different processes such as Brownian motion, thermophoresis, Joules heating, and viscous dissipation have been inspected in the presences of stratification parameters. The solutions for flow profiles have been obtained via optimal homotopy analysis method. Impacts of different physical involved variables on non‐dimensional velocity, temperature, nanofluid concentration, and concentration of density of swimming microorganisms have been debated. Coefficient of skin friction, local Nusselt number, Sherwood number, and density of motile organisms have been calculated. The results reveal that Sutterby fluid parameter enhances the skin friction and has a reverse impact on the velocity, while an increase in stratification causes a declination in the flow boundary layers. The temperature of the flow is also seen to be boosted by the increment in Brownian motion parameter. Analysis of entropy generation shows that the concentration difference parameter maximizes the entropy and minimizes the dimensionless Bejan number.

Microorganisms swimming through radiative Sutterby nanofluid over stretchable cylinder: Hydrodynamic effect