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In this writing, we have uncovered the upshot of melting heat transformation on 2D boundary layer flow of single-walled carbon nanotube-engine oil and multi-walled carbon nanotube-engine oil through a wedge surface. The entire investigation has been prosecuted in the attendance of thermal radiation. We remodel the nonlinear PDEs into ODEs by inaugurating similarity transformation and then they are executed by Natural Decomposition Method. The impact of affined parameters on temperature and velocity distribution has been elucidated utilizing tables and graphs. Our study imparts that the fluid velocity enhances but temperature decreases for the growing values of melting parameter as well as pressure gradient parameter. Also, our study conveys that the rate of heat transfer is improved for the said parameters.