Semi-closed Solutions of Two-Dimensional Nanofluid Flow and Heat Transfer Over a Nonlinear Stretching Sheet Embedded with New Set of Similarity Transformations

The focus of this investigation centers around the concept of similarity transformations involved in reducing partial differential equations to ordinary differential equations Additionally, it delves into the captivating study of analyzing the flow dynamics across a two-dimensional non-linear stretching surface boundary, incorporating the mesmerizing presence of nanoparticles. In the present investigation we derived a new set of similarity transformations in which the similarity variable is dimensionless as well as it is a function of all independent variables considered in the formulation. Furthermore, the stretching velocity is also of appropriate dimension i.e., m/s. In this study, the modified equations were tackled numerically using the Runge–Kutta Fehlberg 4–5th methodology. In previous research papers, the Homotopy perturbation Sumudu transform method (HPSTM) was employed to derive the analytical solution solely for the momentum equation. However, in this current study the Homotopy perturbation Sumudu transform method (HPSTM), is applied to solve the coupled momentum, energy and nanoparticle equations resulting in an innovative analytical solution that has not been previously explored. By comparing the obtained numerical results with the analytical ones, the precision of the current work is showcased. Graphical records are utilized to elucidate the impact of distinct components on the thermal, velocity and concentration plots.