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Purpose – The purpose of this paper is to implement variational iteration method (VIM) and homotopy perturbation method (HPM) to solve modified Camassa‐Holm (mCH) and modified Degasperis‐Procesi (mDP) equations. Design/methodology/approach – Perturbation method is a traditional method...
Purpose – The purpose of this paper is to study the effects of chemical reaction on mixed convection flow along a sphere in non‐Darcian porous media. Design/methodology/approach – The sphere surface is maintained at uniform temperature and species concentration for both cases of heated...
Purpose – Pipe cooling is an important measure for controlling the temperature in mass concrete. Since the temperature field in mass concrete containing cooling pipes is unsteady and three‐dimensional, and there are huge quantities of the cooling pipes in the concrete, the study of efficient...
Purpose – The purpose of this paper is to directly extend the homotopy perturbation method (HPM) that was developed for integer‐order differential equation, to derive explicit and numerical solutions of the fractional KdV‐Burgers‐Kuramoto equation. Design/methodology/approach – The...
Purpose – The purpose of this paper is to present a 2D numerical simulation of natural convection and phase‐change of succinonitrile in a horizontal Bridgman apparatus. Three different heat transfer mechanisms are specifically studied: no growth, solidification and melting....
Purpose – The purpose of this paper is to numerically investigate the effects of different heating and cooling scenarios on the flow structure in a vertically oriented plane sudden expansion. Four different heating and cooling scenarios are considered. The scenarios include symmetric or...
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