This work presents the entropy analysis of Maxwell nanofluid containing gyrotactic microorganism in the presence of homogeneous–heterogeneous reactions with modified heat and mass flux models. Modified models are presented by utilizing Cattaneo–Christov heat flux and generalized Fick’s law. Derived equations which shows the considered flow situation are modeled in the form of PDEs under boundary layer theory, then suitable transformation is applied to convert arising PDEs into a set of transformed ODEs which are then solved using a powerful scheme namely optimal homotopy analysis procedure. Special cases of some published work are found to be in excellent agreement of our work. The impact of physical parameters on velocity, temperature, concentration, reaction rate, concentration of motile microorganism, and entropy generation are discussed graphically. Finally, the convergence of applied scheme is presented in tabular form which confirms the efficiency of applied method. It is reported that entropy generation increases for higher values of radiation parameter and Brinkman number, whereas Bejan number is reduced for the higher values of radiation and magnetic parameters. Also, fluid temperature and concentration fields are reduced by augmenting the values of Prandtl and Schmidt numbers.

Mathematical analysis of the variable thermophysical features of the three-dimensional flow of a non-Newtonian yield manifesting liquid with heat and mass transport in the presence of gyrotactic microorganisms over a nonlinear stretched surface is inspected in this exploration. The phenomenon of heat is presented in view of temperature-dependent thermal conductivity by engaging the traditional heat conduction law, whereas transport of mass is expressed by capitalizing Fick’s law with temperature dependent mass diffusion. The Buongiorno model is presented for capturing the involvement of Brownian motion and thermophoresis inspirations. Additionally, the chemical reaction is considered in the mass transport expression. Boundary layer theory is applied to develop the physical problem in the form of partial differential equations. Appropriate transformation is utilized to convert the developed problem into a dimensionless system of coupled nonlinear ordinary differential equations. The transformed system is then handled analytically. The convergence analysis of the proposed scheme is presented through a table, which confirms the reliability of the suggested procedure. Moreover, the validity of the present solution and suggested scheme is presented and the limiting case of presented findings is in excellent agreement with the available literature. The computed solution of the physical variables against the influential parameters is presented through graphs. It is worth mentioning that mounting values of the fluid parameter and magnetic parameter retard the fluid flow.