International Journal of Numerical Methods for Heat & Fluid Flow: Volume 26 Issue 3/4

A comparative study of fractional step method in its quasi-implicit, semi-implicit and fully-explicit forms for incompressible flows

The purpose of this paper is to describe and analyse a class of finite element fractional step methods for solving the incompressible Navier-Stokes equations. The objective is not…

Computations of anomalous phase change

– The purpose of this paper is to demonstrate how anomalous diffusion behaviors can be manifest in physically realizable phase change systems.

Nonlinear thermal convection of a non-Fourier fluid

The purpose of this paper is to determine the thermo-gravitational convective state of a non-Fourier fluid layer of the single-phase-lagging type, heated from below. Unlike…

Free convection in a square porous cavity filled with a nanofluid using thermal non equilibrium and Buongiorno models

The purpose of this paper is to theoretically analysis the steady-state natural convection flow and heat transfer of nanofluids in a square enclosure filled with a porous medium…

A short remark on Chien’s variational principle of maximum power losses for viscous fluids

The purpose of this paper is to point out a paradox in variational theory for viscous flows. Chien (1984) claimed that a variational principle of maximum power loses for viscous…

On the accuracy of some explicit and implicit methods for the inviscid GRLW equation subject to initial Gaussian conditions

The purpose of this paper is to both determine the effects of the nonlinearity on the wave dynamics and assess the temporal and spatial accuracy of five finite difference methods…

Modeling the sloshing problem in a rectangular tank with submerged incomplete baffles

The present work is an experimental and numerical study of a sloshing problem including baffle effects. The purpose of this paper is to assess the numerical behavior of a…

Numerical investigation on the performance of cross-flow micro heat exchangers

The purpose of this paper is twofold: to describe a relevant improvement to an in-house FEM procedure for the heat transfer analysis of cross-flow micro heat exchangers and to…

Nonlinear eigenvalue problem in the integral transforms solution of convection-diffusion with nonlinear boundary conditions

The purpose of this paper is to propose the generalized integral transform technique (GITT) to the solution of convection-diffusion problems with nonlinear boundary conditions by…

Convergent optimal variational iteration method and applications to heat and fluid flow problems

In an earlier paper (Turkyilmazoglu, 2011a), the author introduced a new optimal variational iteration method. The idea was to insert a parameter into the classical variational…

CFD simulations of transport phenomena during transcritical flow of real fluid (CO2) within ejector

The purpose of this paper is to overview successful approaches to the computational simulation of real fluid (R744 – carbon dioxide (CO₂)) flow within an ejector is presented…

Hybrid asymptotic-numerical modeling of thin layers for dynamic thermal analysis of structures

The purpose of this paper is to propose a computational model for thin layers, for problems of linear time-dependent heat conduction. The thin layer is replaced by a…

Analytical characterization of gaseous slip flow and heat transport through a parallel-plate microchannel with a centered porous substrate

The purpose of this paper is to analytically perform gaseous slip flow and heat transfer analysis within a parallel-plate microchannel partially filled with a centered porous…

The convection of a Bingham fluid in a differentially-heated porous cavity

The purpose of this paper is to determine the manner in which a yield stress fluid begins convecting when it saturates a porous medium. A sidewall-heated rectangular cavity is…

Second order accurate particle-based formulations: Explicit MPS-GS4-II family of algorithms for incompressible fluids with free surfaces

The purpose of this paper is to present new implementation aspects of unified explicit time integration algorithms, called the explicit GS4-II family of algorithms, of a…

An overview of phonon-based heat conduction models and their solution

The purpose of this paper is to provide an overview and some recent advances in the models, analysis and simulation of thermal transport of phonons as related to the field of…

The effect of an embedded solid block on the onset of convection in a porous cavity

The purpose of this paper is to determine how the presence of an embedded, centrally placed, solid but heat-conducting block affects the onset and development of Darcy-Bénard…

Analysis of two approaches for an adiabatic boundary condition in porous media

The purpose of this paper is to analyze two different approaches (Models A and B) for an adiabatic boundary condition at the wall of a channel filled with a porous medium. The…

The simulation of dust effects from fragmenting charges

– The purpose of this paper is to determine the reason for the discrepancy in estimated and observed damage caused by fragmenting charges in closed environments.

Analysis of entropy generation in an inclined channel flow containing two immiscible micropolar fluids using HAM

– The purpose of this paper is to examine the flow, heat transfer and entropy generation characteristics for an inclined channel of two immiscible micropolar fluids.

Investigation of the coherent structures in flow behind a backward-facing step

The purpose of this paper is to investigate the characteristic flow structures behind a backward-facing step. With better understanding of unsteady features, effective control…

Constrained large-eddy simulation of turbulent flow and heat transfer in a stationary ribbed duct

The knowledge about the heat transfer and flow field in the ribbed internal passage is particularly important in industrial and engineering applications. The purpose of this paper…

Effects of cambers on gliding and hovering performance of corrugated dragonfly airfoils

The purpose of this paper is to explore the effects of the camber on gliding and hovering performance of two-dimensional corrugated airfoils. While the flying mechanism of natural…

Generalized Richardson extrapolation procedures for estimating grid-independent numerical solutions

The purpose of this paper is to present outcomes of efforts made over the last 20 years to extend the applicability of the Richardson extrapolation procedure to numerical…

The effects of shape on the performance of cathode catalyst agglomerates in polymer electrolyte fuel cells: A micro-scale FEM study

The purpose of this paper is to numerically investigate the effects of the shape on the performance of the cathode catalyst agglomerate used in polymer electrolyte fuel cells…

Multi-scale thermal modeling of glass interposer for mobile electronics application

The functionality of personal mobile electronics continues to increase, in turn driving the demand for higher logic-to-memory bandwidth. However, the number of inputs/outputs…

An AMG strategy for efficient solution of free-surface flows

An area of great interest in current computational fluid dynamics research is that of free-surface modelling (FSM). Semi-implicit pressure-based FSM flow solvers typically involve…

New benchmark solutions for transient natural convection in partially porous annuli

The purpose of this paper is to focus on the numerical analysis of transient free convection heat transfer in partially porous cylindrical domains. The authors analyze the…

Method of regularized sources for axisymmetric Stokes flow problems

The purpose of this paper is to find solution of Stokes flow problems with Dirichlet and Neumann boundary conditions in axisymmetry using an efficient non-singular method of…

Variational multi-scale finite element approximation of the compressible Navier-Stokes equations

The purpose of this paper is to apply the variational multi-scale framework to the finite element approximation of the compressible Navier-Stokes equations written in conservation…

Improving a conjugate-heat-transfer immersed-boundary method

The purpose of this paper is to provide the current state of the art in the development of a computer code combining an immersed boundary method with a conjugate heat transfer…

Comparison of heat transfer characteristics of aviation kerosene flowing in smooth and enhanced mini tubes at supercritical pressures

The purpose of this paper is to numerically investigate the heat transfer performance of aviation kerosene flowing in smooth and enhanced tubes with asymmetric fins at…

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