This study explores several pivotal facets of physical phenomena that emerge in mechanics
and model formulation, driven by the intricate realm of partial differential equations. Our …

In the present work, for the first time, laminar natural convection of water-TiO 2 nanofluid
around a hot obstacle in a square cavity is simulated by Lattice Boltzmann Method (LBM) …

Thermal analysis through natural convection and heated obstacles in a different shape of
cavity become an emerging concept among the scientific community. In this framework, this …

This numerical study investigates the effect of thermal boundary conditions and moving lid
length on the mixed convective heat transfer and flow regime dynamics in a square top-lid …

A modified thermal Bhatnagar–Gross–Krook Lattice Boltzmann (BGK-LB) model was
developed to study the convection phenomenon of non-Newtonian fluids (NNFs). This …

The current research employed computational simulation to assess magnetohydrodynamic
(MHD) natural convection in an L-shaped container with a metal foam, which has a variety of …

The present article aims to extend a previous numerical study on the natural convection
process in a square enclosure with a vertical eccentric square heat source (cylinder)[1] …

This report presents a similarity solution for the buoyancy-driven flow of viscous
incompressible fluid past an inclined porous plate influenced by nonlinear thermal radiation …

In this paper, a novel flexible forcing immersed boundary-simplified lattice Boltzmann
method (FFIB-SLBM) is introduced to efficiently simulate two and three-dimensional fluid …

In this work, the effects of tilt angle and fluid yield stress on the laminar natural convection
from an isothermal square bar cylinder in a Bingham plastic fluid confined in a square duct …