Development for Cooling Operations through a Model of Nanofluid Flow with Variable Heat Flux and Thermal Radiation

Abstract

This article discusses the flow of a non-Newtonian Carreau nanoliquid across a stretching radiative nonlinear sheet that is exposed to a variable heat flux. Analysis is done with changing thermal conductivity since it affects how heat and mass transfer occur. Nanoparticles are modelled using the Brownian motion and the thermophoresis phenomenon. The introduction of a similar solution to our challenge, as obtained by our paper, received significant attention. To create a dimensionless system, the governing partial differential equations are subjected to the mathematical model’s convenient similarity transformations after it has been developed. The numerical solution of the coupled highly nonlinear ordinary differential equations characterizing velocity, temperature and nanoparticles concentration is shown using an effective shooting approach. Additionally, all factors affecting the situation that could increase the effectiveness of cooling operations will be looked into. Results for velocity, the thermal field, the concentration of nanoparticles, the skin-friction coefficient, and the local Nusselt and Sherwood numbers are provided and explored. Tables and graphics will be used to illustrate the paper’s conclusions. Results are also given in comparison to existing literature. Excellent agreement has been reached. Furthermore, it is clear that the local Sherwood number, the local Nusselt number, and the skin friction coefficient are all observed to increase as the power law index does.

Advanced numerical simulation techniques in MHD fluid flow analysis using distributed fractional order derivatives and Cattaneo heat flux model

“…Their findings offered significant insights into nanoparticle behavior under different thermal energy conditions. Alrehili [22] studied the behavior of a non-Newtonian Carreau nanoliquid over a stretched radiative nonlinear sheet with varying heat flux, highlighting the importance of changing thermal conductivity on heat and mass transfer phenomena. Lastly, Kannan et al [23] focused on the effects of heat sinks and sources on natural convection flow, temperature, and magnetohydrodynamic transport in a vertical cone subjected to variable surface heat flux.…”

“…Their findings offered significant insights into nanoparticle behavior under different thermal energy conditions. Alrehili [22] studied the behavior of a non‐Newtonian Carreau nanoliquid over a stretched radiative nonlinear sheet with varying heat flux, highlighting the importance of changing thermal conductivity on heat and mass transfer phenomena. Lastly, Kannan et al.…”

The Flow of a Thermo Nanofluid Thin Film Inside an Unsteady Stretching Sheet with a Heat Flux Effect

“…Non-Newtonian fluids are a specific category of fluids whose viscosity changes as the shear rate rises. Due of their significant applicability in numerous industrial and engineering fields, this category is quite significant ( [15,16]). Special non-Newtonian fluids known as viscoelastic fluids exhibit an additional elasticity property in addition to their viscosity, which allows them to store and release shear energy.…”