... using the Galerkin finite element method with a penalty formulation to eliminate pressure. The dimensionless governing equations are solved for three distinct geometries: trapezoidal with negatively sloped hot wall (trap-), square and trapezoidal with positively sloped hot wall (trap+). The NEPCM...

... parameters, including thermophoresis, Brownian motion, electric conductivity, Helmholtz–Smoluchowski velocity, viscosity, relaxation time and thermal conductivity. The governing coupled nonlinear differential equations are solved numerically using the finite element method under appropriate boundary...

... modeling 3D printing nozzle Shape optimization Finite element method Collaborative Research Center SFB1120 236616214 DFG project 566317635 NHR Center NHR4CES at RWTH Aachen University DFG 333849990/GRK2379 The presented investigations were carried out at RWTH Aachen...

... 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...

... only Natural convection Conjugate heat transfer NEPCM-water nanofluid Non-uniform wall thickness Phase change Finite element method NEPCM = Nano Encapsulated Phase Change Material; g = Because of gravity, acceleration (m s^{−2); C_p}...

... . Non-Newtonian fluid Hamilton’s principle Finite element method Internal variable Variational formulation Deutsche Forschungsgemeinschaft 390833453 Deutsche Forschungsgemeinschaft 433082294 This work is supported by the Deutsche Forschungsgemeinschaft (DFG) under Germany’s...

.../approach This study analyzes the coupling between RB instability and externally applied time-varying vertical forcing with adjustable frequencies and amplitudes. The governing equations for the nanofluid RB system are solved numerically using the finite element method to capture the transient...

... not require extensive training. The ability to achieve near-real-time solution construction enhances its applicability for monitoring and control (digital twinning) in extreme thermal conditions. Material properties Finite element method Nuclear fusion Digital twinning Solution construction Sparse...

... to the final steady-state in a square cavity. Design/methodology/approach The transient governing equations for the Bingham model are solved using a Galerkin Finite Element Method in a differentially heated square cavity. A systematic parametric study investigates the influence of the Rayleigh (Ra...

... only Conjugate heat transfer Hybrid nanoparticles Finite element method MHD Square cavity Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU) IMSIU-DDRSP2503 This work was supported and funded by the Deanship of Scientific Research at Imam...

... core and a polymer shell. The governing equations for a uniform mixture of NEPCM-water are written based on the conservation of mass, energy and also fluid motion. The natural convection effects were also taken into account. The finite element method was used to solve the governing equations...

... differential equations governing non-Fourier heat transfer derived from conservation laws is simplified using boundary layer approximations. The system of ODEs with transformed boundary conditions is numerically solved by the finite element method. After validation and accuracy of the computed solutions, post...

... The coupled nonlinear equations modeling of the convection process in a hybrid nanofluid saturated non-Darcy porous cavity are solved by the Galerkin finite element method. The cavity is at low ambient temperature along the wavy wall and exposed to a partial heat flux on the left wall, keeping the remaining...

... geometry for the moment of nanoparticles. Design/methodology/approach Finite element method (FEM) was depleted to numerically approximate the temperature, momentum, concentration and microorganisms concentration of the nanoliquid. The present simulation was unsteady state, and the resulting transformed...

...Hillal M. Elshehabey Purpose The purpose of this paper is to present numerical simulations for magnetohydrodynamics natural convection of a nanofluid flow inside a cavity with an H-shaped obstacle based on combining artificial neural network (ANN) with the finite element method (FEM), and predict...

... The PCMs used in the upper horizontal channel, vertical channel and lower horizontal channel are denoted by M1, M2 and M3. Magnetic field is uniform and inclined while finite element method is used as the solution technique. Triple encapsulated-PCM system study is carried out taking into account different...

... Cross-flow ratios (CFR) ranging from 0.1 to 1, magnetic field strength (Ha) ranging from 0 to 50 and cylinder rotation speed (Rew) ranging from −5,000 to 5,000 are the relevant parameters that are included in the numerical analysis. Finite element method is used as solution technique. Radial basis...

... 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}...

.... Consequently, current work considers the computational domains of these work, analyze thermal convection of model Newtonian fluids within these test domains and predict heatlines for understanding of energy flow. Finite element method has been used to solve the governing equations for mass, momentum...

... In the domains which are separated by the porous layers, uniform magnetic field with different strengths is used and as the solution technique finite element method is used. The numerical study is conducted considering different values of parameters: Reynolds number (250–1000), strength of magnetic field...