International Journal of Numerical Methods for Heat & Fluid Flow: Volume 22 Issue 7

New perturbation‐iteration solutions for nonlinear heat transfer equations

Yiğit Aksoy, Mehmet Pakdemirli, Saeid Abbasbandy, Hakan Boyacı

The purpose of this paper is to apply, for the first time, the authors' newly developed perturbation iteration method to heat transfer problems. The effectiveness of the new…

Approximate analytical solution to time fractional nonlinear evolution equations

M.A. Abdou, Ahmet Yildirim

The purpose of this paper is to develop a scheme to study numerical solution of time fractional nonlinear evolution equations under initial conditions by reduced differential…

Mixed convection in an inclined channel with heated porous blocks

N. Guerroudj, H. Kahalerras

The purpose of this paper is to study numerically the fluid flow and heat transfer in an inclined channel provided with heated porous blocks on its lower plate.

Application of modified discrete ordinates method to combined conduction‐radiation heat transfer problems in irregular geometries

H. Amiri, S.H. Mansouri, P.J. Coelho

The solution of radiative heat transfer problems in participating media is often obtained using the standard discrete ordinates method (SDOM). This method produces anomalies…

A differential quadrature method for numerical solutions of Burgers'‐type equations

R.C. Mittal, Ram Jiwari

The purpose of this paper is to use the polynomial differential quadrature method (PDQM) to find the numerical solutions of some Burgers'‐type nonlinear partial differential…

An implicit differential equation governing lumped capacitance, radiation dominated, unsteady, heat transfer

Lawrence J. De Chant

Although most physical problems in fluid mechanics and heat transfer are governed by nonlinear differential equations, it is less common to be confronted with a “so – called”…

Thermal and hydrodynamic performance analysis of circular microchannel heat exchanger utilizing nanofluids

H.A. Mohammed, G. Bhaskaran, N.H. Shuaib, H.I. Abu‐Mulaweh, R. Saidur

The purpose of this paper is to investigate numerically the thermal and hydrodynamics performance of circular microchannel heat exchanger (CMCHE) using various nanofluids.

Homotopy analysis method for space‐ and time‐fractional KdV equation

Syed Tauseef Mohyud‐Din, Ahmet Yıldırım, Eda Yülüklü

The purpose of this paper is to present numerical solutions for the space‐ and time‐fractional Korteweg‐de Vries (KdV) equation using homotopy analysis method (HAM). The space and…