... on thermodynamic irreversibility. Design/methodology/approach The governing time-dependent equations incorporating Brownian motion and thermophoresis are formulated using Buongiorno’s nanofluid model. The coupled nonlinear equations are solved numerically via the finite element method. The effects of thermal...

... thermophoresis and Brownian motion into consideration. This study also investigates how slip conditions and general thermal boundary conditions affect the stability properties of the system. Design/methodology/approach The linear instability theory is theoretically adopted, and the eigenvalue system...

...Boussouffi Mustapha; Amina Sabeur Purpose This study aims to provide an in-depth analysis of entropy generation (EG) during natural convection within the annular space between confocal elliptic cylinders, with a specific focus on the influence of Brownian motion on nanofluid behavior. Design...

...Paluru Sreedevi; P. Sudarsana Reddy Purpose This paper aims to numerically examine the impact of gyrotactic microorganisms and radiation on heat transport features of magnetic nanoliquid within a closed cavity. Thermophoresis, chemical reaction and Brownian motion are also considered in flow...

... 2023 Emerald Publishing Limited Licensed re-use rights only Finite element method Thermophoresis Brownian motion Radiation Gyrotactic microorganisms Buongiorno’s model nanofluid g = gravitational acceleration (m/s^{2); c_p = specific heat}...

... Nanofluids Natural convection MHD Brownian motion Entropy Conjugate heat transfer Figure 1. The physical model and boundary condition The flow is considered incompressible, steady and laminar. The density variation is modeled by standard Boussinesq approximation. It is assumed...

... features Brownian motion and thermophoresis effects. The model studies the manufacturing fluid dynamics of smart magnetic bio-nano-polymer coatings. Design/methodology/approach The coupled non-linear partial differential boundary-layer equations governing the flow, heat and nano-particle and micro...

.... The Koo–Kleinstreuer–Li model is used to estimate the dynamic viscosity and consider Brownian motion. On the other hand, the effect of the shapes of nanoparticles on the thermal conductivity and related heat transfer rate is presented. Findings In the present investigation, the governing parameters...

... condition in the presence of thermal radiation, Brownian motion, thermophoresis and chemical reaction. The process of heat and mass transfer based on Cattaneo–Christov double-diffusion model is studied, which can characterize the features of thermal and concentration relaxations factors. Design...

.... Findings The results obtained showed that the average Nusselt number is increased with Peclet number, Lewis number, Brownian motion and thermophoretic force. Also, the average Sherwood number increased with Brownian motion and Peclet number and decreased with thermophoretic force. It is concluded...

... θ nf ∂ X 2 + ∂ 2 θ nf ∂ Y 2 ] + δH ( θ s − θ nf ) Nanofluid Brownian motion Dependent internal heat generation LTNE model Porous matrix c_p = specific heat (J . kg⁻¹.K⁻¹...

... in literature. It is assumed that among few, only Brownian motion and thermophoresis affect the slip mechanism to produce a relative velocity between the nanoparticles and the base fluid. The purpose of this paper is to study the effects of Brownian motion and thermophoresis in a square cavity by considering...

.... In this model, effect of Brownian motion on the effective thermal conductivity is considered. The comparison between the results from DTM and numerical method are in well agreement which proves the capability of this method for solving such problems. The effect of the squeeze number and the nanofluid volume...

.... The Buongiorno nanofluid model is used to represent thermophoretic and Brownian motion effects. A non-Fourier (Cattaneo–Christov) model is used to simulate thermal conduction effects, of which the Fourier model is a special case when thermal relaxation effects are neglected. Findings The governing...

... expression has been found. The results have been obtained for different parameters, including the Brownian motion to thermophoretic diffusion N_BT, saturation nanoparticle volume fraction ϕ_sat and normal temperature difference. Findings A closed...

...P. Sudarsana Reddy; A. Chamkha Purpose In recent years, nanofluids are being widely used in many thermal systems because of their higher thermal conductivity and heat transfer rate. The higher thermal conductivity depends on many parameters such as size, shape and volume and the Brownian motion...

... Emerald Group Publishing Limited 2015 Nanofluid Magnetic field Natural convection Thermophoresis Brownian motion Trapezoidal cavity Roman letters A  aspect ratio parameter B   external magnetic field vector (Wb·m−2) B₀...

... transport equations include the effects of Brownian motion and thermophoresis. By introducing new similarity transformations for velocity, temperature and nanoparticle volume fraction, the basic equations governing the flow, heat and mass transfer are reduced into highly non-linear ordinary differential...