Non-linear three dimensional convective flow of nanofluid: An application of Wavelet-Galerkin method

We developed the numerical solution of three-dimensional nonlinear convective time-dependent flow of nanofluid. The energy analysis is performed by considering nonlinear radiation phenomenon. The obtained equations of physical model are very complex and highly nonlinear due to nonlinear convection and radiation. We adopted the Wavelet-Glaerkin approach for numerical solutions of considered flow equations. We introduced the orthonormal bases of compactly supported wavelets for the space of square-integral function. A complete basis of wavelets can be generated through dilation and translation of a mother scaling function. In Wavelet-Galerkin method, the Daubechies wavelets are taken as basis for the Galerkin approach. The obtained numerical data is plotted for multiple values of parameters to examine the behavior of temperature and concentration profiles. A numerical benchmark for values of Nusselt and Sherwood numbers is presented.