Analysis of modified Fourier law and melting heat transfer in a flow involving carbon nanotubes

Abstract

The dynamics of non-Newtonian liquids flow along with suspension of nanoparticles are pretty exciting with many industrial applications. In view of this, we examined Darcy-Forchheimer two-dimensional carbon nanotubes flow in light of a melting surface with warm nonlinear radiation, Cattaneo-Christov heat flux and slip condition. Similarity transformations are utilized to deal with the problem equations for non-dimensionality. Runge-Kutta-Felberg-45 method by adopting shooting scheme is applied for the simulation of the demonstrated equations. The thermal framework is investigated for all the implanted parameters whose impacts are appeared through various graphs. There exist fascinating outcomes because of the impacts of various constraints on various profiles. Results reveals that, velocity and corresponding thickness of the boundary layer declines for rising values of Forchheimer parameter and porosity parameter. Moreover, rate of declination of velocity gradient in MWCNT-water stream is slower than SWCNT-water stream. Also, inclined values of melting parameter display a diminishing pattern for the temperature field. Further, rate of declination in heat transfer of SWCNT-water stream is faster than MWCNT-water stream.