Application of novel fractional derivative to heat and mass transfer analysis for the slippage flow of viscous fluid with single‐wall carbon nanotube subject to Newtonian heating

Abstract

The single‐walled carbon nanotubes are the solid tiny materials in nature with efficient thermal conductivity and has many useful applications in biological domain specifically in the formation of biological nanofluid. The physical effects of single‐wall carbon nanotube (SWCNT) are considered in this study for free convection slippage flow of fractional viscous fluid by considering the thermal radiation, heat generation, chemical reaction of order first, and Newtonian heating through a porous medium. The fractional flow model of viscous fluid with SWCNT is constructed by inserting most recent approach of non‐integer derivative (constant proportional Caputo fractional derivative). Non‐dimensional boundary layer equations which govern the flow are solved analytically via integral transform, namely, the Laplace transform, and explicit transformed results for field variables, temperature, concentration, and velocity are established. Thermal and mass fluxes are also obtained numerically and presented in tabular form. The parametric study is carried out by plotting some graphs of thermal, concentration, and momentum profiles. In the light of paramedic study, it is noted that from the plots of field variables with slip condition are higher than that with the no‐slip condition. The constant proportional Caputo (CPC) fractional derivative is a best choice to get more stable temperature, concentration, and velocity fields than that of ordinary fields. More precisely, fractional parameter controls the boundary thickness of temperature, concentration, and velocity fields.