Abstract
The present research is based on the thermal and flow properties of the dusty liquid past a stretching sheet. Further, the liquid flow is embedded with Methanol base fluid suspended by single walled carbon nanotubes as nanoparticles. To crack the current mathematical model problem, the numerical Runge-Kutta-Fehlberg fourth-fifth order method was used. With the aid of graphs, the effect of physical parameters on the fluid flow and thermal profile were discussed. To achieve the most accurate results, the correct initial assumptions and several non-dimensional parameter values are carefully chosen and well-adjusted. Results reveal that, the rise in values of temperature interaction parameter improves the fluid phase heat transfer but declines the dust phase heat transport. The increase in melting parameter values improves the both fluid and dust phase heat transport. The fluid phase thermal distribution drops faster than dust phase heat transfer for growing values of gamma. The growth in values of melting parameter drops the rate of heat transport.