Abstract
The exponentially stretching curved surface is considered for second-grade fluid flow. The slip effects are applied at the assumed surface. The Brownian motion, chemical reaction, and thermophoresis effects are studied to determine the influence of the second-grade fluid. The boundary layer approximation is applied to the governing equation which is reduced in terms of partial differential equations. These partial differential equations become the dimensionless form after using the appropriate transformations. Further, the numerical approach is imposed on the dimensionless system to calculate the problem-related results. Graphs and tables are used to show how involving physical parameters have an effect. The velocity profile and skin friction have been increased due to increasing values of curvature parameters. The velocity function declined due to an increment in the second-grade fluid parameter. It means that the thickness of the boundary layer shown as decline when the second-grade fluid parameter rises while the second-grade fluid parameter has an inverse relation with viscosity. The Prandtl number increased which increased the temperature function. Physically, the thickness of the thermal boundary is controlled by the Prandtl number, and temperature increases by increasing the value of the Prandtl number.