Application of modified Fourier's law in a fuzzy environment to explore the tangent hyperbolic fluid flow over a non-flat stretched sheet using the LWCM approach

The flow of fluid over a surface that is being stretched has numerous important potential uses, such as polymer extrusion, coating, etc. The objective of this study is to investigate the characteristics of flow attributes (velocity, temperature, skin friction coefficient, and local Nusselt number) under specific conditions, when a quadratic convective flow of tangent hyperbolic fluid is applied over a non-flat stretching sheet. In this case, the transfer of heat is simulated by employing a modified version of Fourier's law and complemented with quadratic thermal radiation. The resolution of the governing partial differential equations is achieved by initially transforming them into ordinary differential equations and subsequently employing the Legendre wavelet collocation technique (LWCT). Moreover, beta - cut technique of fuzzy numbers are utilized in ODEs to obtained FDEs (Fuzzy differential equation) and FDEs are solved by triangular fuzzy number (TFN). The numerical computation involves the treatment of We and Rd as fuzzy numbers. The findings suggest that the fluid temperature drops when the relaxation parameter is raised. Moreover, Fuzzy temperature profile decreases with increasing A1, A2 and fuzzy parameter (beta). The current code demonstrates a high degree of concurrence when subjected to numerical validation in comparison to prior research.