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.

非牛顿液体流动的动力学以及纳米颗粒的悬浮在许多工业应用中都非常令人兴奋。有鉴于此，我们检查了Darcy-Forchheimer二维碳纳米管在熔融表面的流动情况，该表面具有温暖的非线性辐射，Cattaneo-Christov热通量和滑移条件。相似变换用于处理非维数的问题方程。采用射击方案的Runge-Kutta-Felberg-45方法被应用于所演示方程的仿真。针对所有植入参数的热框架进行了研究，这些参数的影响通过各种图表显示出来。由于各种约束条件对各种配置文件的影响，因此存在令人着迷的结果。结果表明，对于Forchheimer参数和孔隙率参数的升高值，边界层的速度和相应的厚度下降。而且，MWCNT-水流中速度梯度的斜率比SWCNT-水流慢。同样，熔化参数的倾斜值显示出温度场的递减模式。此外，SWCNT-水流的传热中的倾斜速度比MWCNT-水流快。