Numerical study of hydrothermal characteristics in nanofluid using KKL model with effect of Brownian motion

Abstract

Finite Element Method (FEM) is used to study hydrothermal characteristics of nano-uid subjected to Brownian motion. For e ective thermal conductivity and viscosity, Koo-Kleinstreuer-Li (KKL) model is used. It is observed that the dispersion of nano-particles in Newtonian liquid causes a signi cant increase in the e ective thermal conductivity. The results based on the dispersion of nano-particles help engineers design an e cient thermal system. The signi cant role of viscous dissipation in di usion of momentum of the wall into the uid is observed. Therefore, e ects of dissipations cannot be ignored while designing thermal systems. The buoyant force is responsible for the e ect of electromagnetic thermal radiations on the uid velocity. Convectively heated surface enhances the rate of generation of entropy. This study considers nano-uids as the best coolants, compared to the base uids. Imposition of magnetic eld causes more entropy generation.

Numerical study of simultaneous transport of heat and mass transfer in Maxwell hybrid nanofluid in the presence of Soret and Dufour effects

“…The finite element technique (FEM [36][37][38][39][40][41][42][43][44][45][46][47]) is applied to the coupled nonlinear problems equations (7)- (10). The set of nonlinear equations is stated in their suitable residuals form and then converted into weak form.…”

Combined effects of partial slip and variable diffusion coefficient on mass and heat transfer subjected to chemical reaction

“…This challenge is tackled by FEM. Detailed FEM implementation to nonlinear fluid flow problems can be seen in [33][34][35][36][37][38][39][40][41][42]. The coupled nonlinear system of algebraic equations are linearized by Picard linearization and the linearized system is solved iteratively under computational tolerance -10 .…”

“…Physical situations and its mathematical modeling is given in section two. The modeled problems are solved by the most suitable technique FEM has been used in [33][34][35][36][37][38][39][40][41][42]. Section three is for numerical procedure.…”

The response of nano-ceramic doped fluids in heat convection models: A characteristics-based numerical approach

“…Hence, numerical methods are excellent for the initial perception of nano-fluid flow behavior. As a result, different numerical studies had been done for nano-fluid flow [15][16][17][18].The literature review shows that valuable numerical simulations have been performed to predict the behavior of the nano-fluids. However, the unknown nature of the involved mechanisms, is still a big challenge to completely cover the thermal behavior of these fluids, so that in some cases the numerical simulations are considerably far from the experimental data.…”