International Journal of Numerical Methods for Heat & Fluid Flow: Volume 23 Issue 3

Effect of magnetic field on thermocapillary convection in a system of two immiscible liquid layers in a rectangular cavity

M. Saleem, A. Hossain, R.S.R. Gorla

The purpose of this paper is to conduct a numerical study of the effect of magnetic field on thermocapillary convection of a two layered system of Newtonian fluids, confined in a…

An efficient method for Cauchy problem of ill‐posed nonlinear diffusion equation

Mashallah Matinfar, Mostafa Eslami, Mohammad Saeidy

The purpose of this paper is to introduce a new homotopy perturbation method (NHPM) to solve Cauchy problem of unidimensional non‐linear diffusion equation.

New analytical method for the study of natural convection flow of a non‐Newtonian fluid

M.M. Rashidi, T. Hayat, M. Keimanesh, A.A. Hendi

The purpose of this paper is to discuss the natural convection flow of an incompressible third grade fluid between two parallel plates. The basic equations governing the flow are…

Solution of the heat equation in the cast‐mould heterogeneous domain using a weighted algorithm based on the homotopy perturbation method

S. Karimi Vanani, A. Yildirim, F. Soleymani, M. Khan, S. Tutkun

The purpose of this paper is to present a weighted algorithm based on the homotopy perturbation method for solving the heat transfer equation in the cast‐mould heterogeneous…

Numerical study on fiber suspensions in non‐isothermal viscoelastic media

Chunlei Ruan, Jie Ouyang, Hongping Zhang

The purpose of this paper is to examine the macroscopic and microscopic fields of fiber suspensions in the non‐isothermal situations, also to examine the effect of fiber on this…

Modelling of surface tension force for free surface flows in ISPH method

Abdelraheem M. Aly, Mitsuteru Asai, Yoshimi Sonda

The purpose of this paper is to show how a surface tension model and an eddy viscosity based on the Smagorinsky sub‐grid scale model, which belongs to the Large‐Eddy Simulation…

Novel gradient‐based methods for heat flux retrieval

Hosein Molavi, Javad Rezapour, Sahar Noori, Sadjad Ghasemloo, Kourosh Amir Aslani

The purpose of this paper is to present novel search formulations in gradient‐type methods for prediction of boundary heat flux distribution in two‐dimensional nonlinear heat…

Application of variational iteration method to nonlinear heat transfer equations using He's polynomials

M. Matinfar, M. Ghasemi

The purpose of this paper is to solve an unsteady nonlinear convective‐radiative equation and a nonlinear convective‐radiative‐conduction equation containing two small parameters…

Non‐Newtonian boundary layer flow induced by a permeable surface stretched with prescribed skin velocity

A. Postelnicu, I. Pop

The purpose of this paper is to investigate the steady flow of a non‐Newtonian power‐law type fluid over a permeable stretching surface. The surface is stretched with a prescribed…