International Journal of Numerical Methods for Heat & Fluid Flow: Volume 22 Issue 1

A spectral‐homotopy analysis method for heat transfer flow of a third grade fluid between parallel plates

Precious Sibanda, Sandile Motsa, Zodwa Makukula

The purpose of this paper is to study the steady laminar flow of a pressure driven third‐grade fluid with heat transfer in a horizontal channel. The study serves two purposes: to…

Numerical analysis of steady non‐Newtonian flows with heat transfer analysis, MHD and nonlinear slip effects

R. Ellahi, M. Hameed

The purpose of this paper is to study the effects of nonlinear partial slip on the walls for steady flow and heat transfer of an incompressible, thermodynamically compatible third…

Ritz‐Galerkin method with Bernstein polynomial basis for finding the product solution form of heat equation with non‐classic boundary conditions

S.A. Yousefi, Zahra Barikbin, Mehdi Dehghan

The purpose of this paper is to implement the Ritz‐Galerkin method in Bernstein polynomial basis to give approximation solution of a parabolic partial differential equation with…

A spectral model for shallow geothermal systems

Rafid Al‐Khoury

The purpose of this paper is to introduce a spectral model capable of simulating fully transient conductive‐convective heat transfer processes in an axially‐symmetric shallow…

Effect of turbine inlet temperature on rotor blade tip leakage flow and heat transfer

Sung In Kim, Hamidur Rahman, Ibrahim Hassan

One of the most critical gas turbine engine components, the rotor blade tip and casing, is exposed to high thermal load. It becomes a significant design challenge to protect the…

Numerical simulation of solidification of liquid copper saturated in porous structures fabricated by sintered steel particles

Piyasak Damronglerd, Yuwen Zhang, Mo Yang

The purpose of this paper is to solve solidification of liquid copper saturated in porous structure fabricated by sintered steel particles using a temperature‐transforming model…

Numerical simulation of instabilities in lean premixed hydrogen combustion

Rob Bastiaans, A.W. Vreman

The present paper is about numerical simulations of one‐ and two‐dimensional lean hydrogen combustion at an equivalence ratio of 0.7. The initial flat two‐dimensional flames show…

Effect of sinusoidal variations of boundary conditions on unsteady double diffusive convection in a square enclosure filled with a porous medium

Mohamed A. Mansour, Mohamed M. Abd‐Elaziz, Ramadan Abdalla, Sameh Elsayed

The purpose of this paper is to deal with unsteady double diffusive natural convection in a square enclosure filled with a porous medium with various boundary condition effects in…