Channel flow of fractionalized H2O-based CNTs nanofluids with Newtonian heating

Abstract

The present article deals to study heat transfer analysis due to convection occurs in a fractionalized H2O-based CNTs nanofluids flowing through a vertical channel. The problem is modeled in terms of fractional partial differential equations using a modern trend of the fractional derivative of Atangana and Baleanu. The governing equation (momentum and energy equations) are subjected to physical initial and boundary conditions. The fractional Laplace transformation is used to obtain solutions in the transform domain. To obtain semi-analytical solutions for velocity and temperature distributions, the Zakian's algorithm is utilized for the Laplace inversions. For validation, the obtained solutions are compared in tabular form using Tzou's and Stehfest's numerical methods for Laplace inversion. The influence of fractional parameter is studied and presented in graphs and discussed.

Application of Fractional Derivative Without Singular and Local Kernel to Enhanced Heat Transfer in CNTs Nanofluid Over an Inclined Plate

“…φ = 0.01, 0.02, 0.03, 0.04 causes increment to the thermal conductivity of nanofluids (SWCNT and MWCNT nanofluids); consequently, the temperature profile increases. In the case of the velocity profile, the density dominates the thermal conductivities and for φ = 0.01, 0.02, 0.03, 0.04 the nanofluids became denser and more viscous, and accordingly, the velocity profile decelerates, as presented in [16,46]. In addition, Figure 7 is plotted to equate SWCNTs and MWCNTs nanofluids in temperature and velocity profiles.…”

A Comprehensive Review on Theoretical Aspects of Nanofluids: Exact Solutions and Analysis

“…In this paper, they missed the plot for the velocity profile, which would show the effect of the volume fraction of the nanoparticles on the fluid velocity. The unsteady flow of water-based nanofluid with carbon nanotubes as suspended nanoparticles is discussed by Khan et al [120]. Newtonian heating on the wall of the channel is taken into account, and the model is generalized using the modern concept of Atangana-Baleanu fractional derivatives [106].…”

“…It is concluded that the temperature distribution is increased by increasing the volume fraction of the nanoparticles. The unsteady MHD flow of diathermic oils with heat transfer is studied by Ali et al [120]. The Brinkman-type fluid model is considered in their research article.…”

A Numerical Study of Chemical Reaction in a Nanofluid Flow Due to Rotating Disk in the Presence of Magnetic Field

“…Osalusi [13] with the help of shooting techniques. Due to the rotating disk the analytical modeling for heat transfer of the couple stress and unsteady MHD flow is pointed out by Khan et al [14] and also Runge -Kutta method with shooting technique was hired for the solution of their model numerically and also explain the variation of physical [19][20][21][22][23][24][25][26][27][28][29][30][31] In aforementioned studies and a comprehensive literature review, it is disclosed that no such study has been carried out and is currently available to examine the heat transfer and magnetically driven nanofluid flow over the rotating disk in the occurrence of chemical reaction was examined. The partial differential equation of the model can be converted into an ordinary differential equation with the help of similarity transformation and solved these ordinary differential equations by using finite difference method.…”