International Journal of Numerical Methods for Heat & Fluid Flow: Volume 24 Issue 7

A numerical scheme based on differential quadrature method for numerical simulation of nonlinear Klein-Gordon equation

Anjali Verma, Ram Jiwari, Satish Kumar

The purpose of this paper is to propose a numerical scheme based on forward finite difference, quasi-linearisation process and polynomial differential quadrature method to find…

Heat and mass transfer in a porous medium filled rectangular duct with Soret and Dufour effects under inclined magnetic field

Ali J. Chamkha, B. Mallikarjuna, R. Bhuvana Vijaya, D.R.V. Prasada Rao

The purpose of this paper is to study the effects of Soret and Dufour effects on convective heat and mass transfer flow through a porous medium in a rectangular duct in the…

Formulation of Kansa's method in the frequency domain for the analysis of transient heat conduction

Luis Godinho, Fernando Branco

A number of works have been published in the scientific literature proposing the solution of heat diffusion problems by first transforming the relevant partial differential…

Hartmann Newtonian radiating MHD flow for a rotating vertical porous channel immersed in a Darcian Porous Regime: An exact solution

Sahin Ahmed, Ali J. Chamkha

The purpose of this paper is to develop and correct the problem studied by Makinde and Mhone (2005) to a rotating vertical porous channel immersed in a Darcian porous regime in…

Non-similar solutions for mixed convection along a wedge embedded in a porous medium saturated by a non-Newtonian nanofluid : Natural convection dominated regime

Ali J. Chamkha, M. Rashad, Rama Subba Reddy Gorla

The purpose of this paper is to present a boundary layer analysis for the mixed convection past a vertical wedge in a porous medium saturated with a power law type non-Newtonian…

Least-squares finite element solution of Euler equations with H-type mesh refinement and coarsening on triangular elements

Hayri Yigit Akargun, Cuneyt Sert

The purpose of this paper is to demonstrate successful use of least-squares finite element method (LSFEM) with h-type mesh refinement and coarsening for the solution of…

Numerical study of flow around and through a porous diamond cylinder in different apex angles

Saman Rashidi, Reza Masoodi, Masoud Bovand, Mohammad Sadegh Valipour

– The purpose of this paper is to study steady, laminar, and two-dimensional flow around and through a porous diamond cylinder.

Accurate analytical/numerical solution of the heat conduction equation

Antonio Campo, Abraham J. Salazar, Diego J. Celentano, Marcos Raydan

The purpose of this paper is to address a novel method for solving parabolic partial differential equations (PDEs) in general, wherein the heat conduction equation constitutes an…

On maximum achievable speeds for field solvers

Rainald Löhner, Joseph D. Baum

Prompted by the empirical evidence that achievable flow solver speeds for large problems are limited by what appears to be a time of the order of O(0.1) sec/timestep regardless of…

Identifying a time-dependent heat source with nonlocal boundary and overdetermination conditions by the variational iteration method

Guanglu Zhou, Boying Wu

The purpose of this paper is to investigate the inverse problem of determining a time-dependent heat source in a parabolic equation with nonlocal boundary and integral…

A coupled FE model for the joint resolution of the shallow water and the groundwater flow equations

H.G. Rábade, P. Vellando, F. Padilla, R. Juncosa

A new coupled finite element model has been developed for the joint resolution of both the shallow water equations, that governs the free surface flow, and the groundwater flow…

Numerical analysis of laminar fluid flow characteristics past an elliptic cylinder: A parametric study

Immanuvel Paul, K. Arul Prakash, S. Vengadesan

The purpose of this paper is to study the effects of Angle of Attack (AOA), Axis Ratio (AR) and Reynolds number (Re) on unsteady laminar flow over a stationary elliptic cylinder…

Magnetohydrodynamic (MHD) squeeze film characteristics between finite porous parallel rectangular plates with surface roughness

Sundarammal Kesavan, Ali J. Chamkha, Santhana Krishnan Narayanan

– The purpose of this paper is to consider magnetohydrodynamic (MHD) squeeze film characteristics between finite porous parallel rectangular plates with surface roughness.

Numerical analysis on propagation characteristics of methane/air explosion in elbow pipe and pipe network

Qiuju Ma, Qi Zhang, Jiachen Chen

The purpose of this paper is to study propagation characteristics of methane explosion in the pipe network and analyze the propagation laws of methane explosion wave along the…