In this endeavour, a new Lie point of transformation for the fluid flow narrating differential equations are proposed. For this purpose a non-Newtonian fluid named tangent hyperbolic fluid is considered towards the flat surface in a magnetized flow field. In addition, equation of concentration admits the role of chemically reactive species. A mathematical model in terms of the coupled PDE’s is constructed. Lie group of analysis is implemented to yield the new Lie point of transformation for tangent hyperbolic fluid flow narrating differential equations when the heat and mass transfer individualities are considered. The resultant system of PDE’s is reduced into system of ODE’s via obtained set of transformation. The self-coded computational scheme is accomplished and the outcomes are reported by way of graphs. It is noticed that tangent hyperbolic fluid velocity, temperature and concentration is decreasing function of magnetic field parameter, Prandtl number and chemical reaction parameter respectively
