Theoretical treatment of radiative Oldroyd-B nanofluid with microorganism pass an exponentially stretching sheet

A transient two-dimensional radiative Oldroyd-B nanofluid flow is examined in this exploration. The flow field is subject to an exponentially stretchable permeable surface which is convectively heated. In the fluid regime microorganisms have been added in-order to improve the stability of the nanofluid. Additionally, the heat and mass transportation are influenced by heat generation and chemical reaction effects. The mathematical model is reduced incorporating self-similar transformations. The resulting non-linear equations system are solved by a numerical technique using Maplesoft. The outcomes presented in graphs and tables against various parameters are discussed in detail. A comparison of our results with previous published investigations shows a good agreement. It is depicted that for higher values of relaxation parameter the fluid velocity minimizes whereas, for retardation parameter its behavior increases. Further, higher values of relaxation parameter correspond to maximum heat and mass transfer rate, while it gives lower values against retardation parameter.