Ramped heating in CNTS fractional nanofluids

The purpose of this paper is to examine the impact of generalized convective heat transfer through an inclined plate using nanofluids. CNTs (Carbon nanotubes) in both shapes (single wall Carbon nanotubes-SWCNTs and multiple walls carbon nanotubes-MWCNTs) are added to water to improve thermal conductivity and gain a better understanding of nanofluids. Using the Caputo Fabrizio derivative, the constitutive equation of the Brinkman type fluid model exposed to ramped wall boundary conditions is generalized (BC). Laplace transformations are used to extract the precise analytical solutions. The graphs show how fractionality and physical characteristics relate to one another. The fractional parameter causes an increase in the isothermal heat flow however this trend can be reversed by ramping up the heat flux. The Caputo Fabrizio fractional parameter has been discovered to increase isothermal heat flow, albeit this trend is found to be reversible for ramping heat flux. Compared to MWCNTs, SWCNTs have a higher thermal conductivity, which results in a larger heat flux in the SWCNTs nanofluid. As the volume concentration of CNTs nanoparticles increases, the heat transfer rate in CNTs nanofluids increases. Skin friction increases with isothermal heating. An interesting applications of ramped heating system can be seen in luxury apartment projects.