... 28 03 2025 09 04 2025 © Emerald Publishing Limited 2025 Emerald Publishing Limited Licensed re-use rights only Finite line method Upwind scheme Incompressible fluid Navier–Stokes equations Heat transfer National Natural Science Foundation of China 12072064...

...-extended Darcy model. Thermosolutal phenomena are governed by the Navier-Stokes equations and are solved by adopting a higher-order compact scheme. Findings The present study focuses on exploring the influence of several well-defined parameters, including Rayleigh number, Darcy number, Lewis number...

... with the incompressible Navier–Stokes equations constitutes a vital basis for heat transfer and fluid dynamics (Bo et al., 1995 ; Yan et al., 2022 ; Liu et al., 2020). Convective heat transfer problems are common in nature and have been applied in a wide range of engineering and science...

... at: samrathansda143@gmail.com 29 12 2022 23 04 2023 23 04 2023 © Emerald Publishing Limited 2023 Emerald Publishing Limited Licensed re-use rights only Heat and mass transfer Entropy generation Navier–Stokes equations Compact scheme Lid-driven Wavy chamber Thermosolutal...

...E.J. Sellountos; Jorge Tiago; Adelia Sequeira Purpose This paper aims to describe the 2D meshless local boundary integral equation (LBIE) method for solving the Navier–Stokes equations. Design/methodology/approach The velocity–vorticity formulation is selected to eliminate the pressure...

...Kleber Marques Lisboa; Jian Su; Renato M. Cotta Purpose The purpose of this work is to revisit the integral transform solution of transient natural convection in differentially heated cavities considering a novel vector eigenfunction expansion for handling the Navier-Stokes equations...

...Erman Ulker; Sıla Ovgu Korkut; Mehmet Sorgun Purpose The purpose of this paper is to solve Navier–Stokes equations including the effects of temperature and inner pipe rotation for fully developed turbulent flow in eccentric annuli by using finite difference scheme with fixing non-linear terms...

...@latech.edu 23 12 2017 16 04 2018 17 05 2018 03 06 2018 © Emerald Publishing Limited 2018 Emerald Publishing Limited Licensed re-use rights only Convective heat transfer Navier-Stokes equations Heated rotating sphere Modal spectral element method Viscous heating...

...Guangzhi Du; Liyun Zuo Purpose The purpose of this paper is to propose a parallel partition of unity method (PPUM) to solve the nonstationary Navier-Stokes equations. Design/methodology/approach This paper opted for the nonstationary Navier-Stokes equations by using the finite element method...

... models of flows of viscous incompressible heat-conductive fluids based on the Navier-Stokes equations and the equation of heat conduction and convection. Let us mention, for example, the papers by Morimoto (1991 , 2007 , 2010), where the author studies the existence of weak solutions of steady...

... versions of the QI procedure for the solution of incompressible Navier-Stokes equations. The paper aims to discuss these issues. Design/methodology/approach – In the proposed method, a local time stepping algorithm is utilised to accelerate the solution to steady state, while the transient solution...

... tri‐diagonals. Each set is associated to a linelet. For the nodal points that do not belong to any linelet a diagonal structure is obtained. © MCB UP Limited 2003 Navier‐Stokes equations Finite elements Incompressible flow Due to the widely varying scales characterizing fluid...

... vector velocity of fluid particle (U W)/κ p=dimensional pressure of fluid in motion, N/m² T=dimensional temperature of fluid particle in motion © MCB UP Limited 2002 Numerical analysis Navier‐Stokes equations Fluid mechanics W...

...Chain‐Nan Yung; Kenneth J. De Witt; Srikanth Subramanian; Abdollah A. Afjeh; Theo G. Keith Pulsatile flow of an incompressible, Newtonian fluid through a symmetric bifurcated rigid channel was numerically analysed by solving the three‐dimensional Navier‐Stokes equations. The upstream flow...

... the convection is neglected as compared to the diffusion, the turbulence kinetic equation for a shear flow can be written in the form: © MCB UP Limited 1997 Engineering Navier‐Stokes equations Stress The topic of this paper is the wall function influence on the results of computation...

...A. Raji; M. Hasnaoui; Z. Zrikem Heat transfer by natural convection in a system formed by two and three cavities heated from below and covered by a cold plate is numerically studied using the Navier‐Stokes equations with the Boussinesq approximation. Presents results in terms of streamlines...

... than the similarities between the two‐ and three‐dimensional flows. Incompressible thermal flows Iterative schemes Navier‐Stokes equations Three‐dimensional problems Using the three‐dimensional iterative Navier‐Stokes‐Energy equations solver described in part I (Vol. 7 No. 4, pp. 297...

... MCB UP Limited 1997 Incompressible thermal flows Iterative schemes Natural convection Navier‐Stokes equations Three‐dimensional problems Numerical study of three- Numerical study of thermal flows dimensional incompressible thermal flows in complex geometries 297 Part I: theory...

.... The W_a (and, of course, P_{a) are not necessarily continuous through the inter‐element boundaries. The variational formulation employed is: © MCB UP Limited 1997 Algorithms Incompressible flow Integration Navier‐Stokes equations Petrov‐Galerkin formulations Preconditioning}...

...G.K. Despotis; S. Tsangaris The extrudate swell phenomenon is analysed by solving, simultaneously,the Navier‐Stokes equations along with the continuity equation by means of a finite volume method. In this work, the planar jet flows of incompressible viscous Newtonian and power‐law fluids...