Abstract
A mathematical model for two-dimensional modified second-grade nanofluids over a moving Riga plate is scrutinized in this contribution. In addition, the impact of the activation energy and thermal radiation is considered. The mathematical modeling for the momentum, energy and motile microorganism distributions yield partial differential equations which are further rendered into a system of ordinary differential equation by utilizing the appropriate variables. These equations are intended numerically using familiar built-in bvp4c technique using MATLAB package. Detailed graphical and numerical simulations are presented for the numerous prominent parameters like generalized second grade, mixed convection parameter, stretching parameter, buoyancy number, bioconvection Rayleigh number, modified Hartman number, Peclet number and the bioconvection Lewis number.