Heat and mass transmission in a boundary layer flow due to swimming of motile gyrotactic microorganisms with variable wall temperature over a flat plate

Nanotechnology can significantly revolutionize several industries and technology domains, such as homeland security, food safety, information technology, healthcare, energy, transportation, and environmental research. Thus, a numerical study of boundary layer flow on a moving hori-zontal flat plate filled with nanofluid with variable temperature at the wall and viscous dissi-pation in the presence of gyrotactic microorganisms is presented. The partial differential equations governing flow phenomena are transformed into ordinary differential equations with the aid of appropriate similarity transformations. The transformed ordinary differential equations are solved numerically with the help of the built-in BVP4C scheme of MATLAB. After the vali-dation of the scheme, numerical solutions are determined for the temperature, nanoparticle concentration, and motile microorganism profiles, along with physical quantities of interest. The outcomes of physical factors such as the variable temperature index, Prandtl number, Eckert number, Lewis number, Peclet number, plate moving parameter, thermophoresis motion, and Brownian parameters are examined and reported through graphs and tables. From the tables, it is clear that skin friction = 0 when the velocity parameter = 1, which shows that there is no resistance at the fluid-solid surface. It is concluded that by increasing the variable temperature, the temperature gradient rises, because of which the thickness of the thermal boundary layer reduces. Finally, more innovations are inevitable with the advancement of this interdisciplinary science. Moreover, the current investigation may help to efficiently enhance the viscosity, ther-mal conductivity, thermal diffusivity, and convective heat transmission linked to those base fluids, such as water and oil.

Automated summary

Nanotechnology has the potential to revolutionize various industries and fields, including homeland security, food safety, information technology, healthcare, energy, transportation, and environmental research. A numerical study was conducted on the flow of a nanofluid with variable temperature on a moving flat plate in the presence of gyrotactic microorganisms. The study utilized similarity transformations to convert the partial differential equations governing the flow phenomena into ordinary differential equations, which were then solved numerically. The results showed the effects of various physical factors and demonstrated the potential for enhancing viscosity, thermal conductivity, thermal diffusivity, and convective heat transmission in base fluids like water and oil.