A non-Fourier approach towards the analysis of heat transfer enhancement with water based nanofluids through a channel

Abstract

In this article, a non-Fourier approach to model the heat transfer phenomenon in nanofluids having application to automotive industry is studied. In this respect, a recently proposed hyperbolic heat flux equation is embedded into the heat energy equation and thereby incorporating the effect of thermal relaxation time. Nanofluids are formed by considering copper oxide (CuO), Titanium dioxide (TiO2) and Aluminum oxide (Al2O3) nano-solid particles in the base fluid. The flow governing system of PDEs along with boundary conditions is transformed into its respective coupled system of nonlinear ODEs using suitable similarity functions. Runge-Kutta-Fehlberg (RK-5) numerical scheme embedded with shooting method is implemented and used to solve the obtained boundary value problem. Numerical simulations are performed and tabulated to analyze the influence of solid volume fraction on local coefficient of skin-friction and Nusselt number. A comparison is made between the results by Fourier and present heat flux model. We conclude that the presented new approach is more general and thus allows predicting the influence of thermal relaxation time on the heat transfer characteristics. Moreover, consideration of present model over the Fourier model helps to predict the actual temporal behavior of solution.

Role of suction/injection on free convective flow in a vertical porous channel with non‐Fourier effects in the presence of periodic boundary

“…Pr represents the Prandtl number, signifying the ratio of momentum to thermal diffusivity, and λ is the dimensionless relaxation time. The physical parameters referenced in Equation (10) are defined in the nomenclature. By solving Equations ( 5)-( 8) while considering the boundary conditions (9) and utilizing the method of variation of parameters, the study yields the following solutions:…”

“…They observed that relaxation time and dimensionless time influenced the location of temperature discontinuities, while porosity and frequency had no impact on temperature discontinuities. A non‐Fourier approach to model the heat transfer phenomenon in nanofluids with application to the automotive industry is studied by Dil and Khan, 10 where they concluded that the new approach is more general and thus allows predicting the influence of thermal relaxation time on the heat transfer characteristics. Caltagirone 11 examined non‐Fourier heat transfer at small scales of time and space.…”

Thermal Analysis of a Casson Boundary Layer Flow over a Penetrable Stretching Porous Wedge

“…Systems such as technical equipment and natural phenomena such as the movement of temperature stratifed masses of air and water on Earth exhibit mixed convection fow [2,3]. It has uses in heat exchangers [4], thermal design, cooling electronic components, and other felds. It is also pertinent to heat transfer and fuid fow analysis.…”

“…Due to the numerous applications in radiative therapy, metal casting technology, and ceramic engineering, several studies [4,19] have explored the infuence of radiative efect at the boundary layer with the transfer of heat characteristics. In biomedical engineering, within the context of blood fow [20,21], the Casson parameter has been considered in analyzing the behavior of non-Newtonian fow in arteries [22][23][24].…”