Abstract
•Modeling for three-dimensional flow of water based carbon nanotubes is presented.•Flow by a bidirectional nonlinear stretching surface is induced.•Homogeneous-heterogenous reactions and porous medium are considered.•Both single walled carbon nanotubes (SWCNTs) and multi walled carbon nanotubes (MWCNTs) are present.
Here homogeneous-heterogeneous reactions in three-dimensional flow of water based nanofluid saturating a porous medium is modeled. A bidirectional nonlinearly stretching surface has been employed to generate the flow. The characteristics of nanofluid are explored using CNTs (single and multi walled carbon nanotubes). Equal diffusion coefficients are considered for both reactants and auto catalyst. The conversion of partial differential equation equations (PDEs) to ordinary differential equations (ODEs) is done via appropriate transformations. Optimal homotopy approach is implemented for solution of governing problem. The optimal solution relations of velocities and concentration are explored through plots by using several values of physical parameters. The coefficients of skin friction are examined through graphs. Our results indicate that the skin friction coefficients are enhanced for larger values of nanoparticle volume fraction.