Title : ( Homotopy Perturbation Method to Study Flow and Heat Transfer of a Modified Second Grade Fluid over a Porous Plate )
Authors: Bijan Golafshan , Asgar Bradaran Rahimi ,
Full TextAbstract
In this study flow and heat transfer of a modified second grade fluid over a porous plate is considered. The modified second grade fluid model is a combination of power-law and second grade fluid models. This model is suitable for studies where shear dependent viscosity (shear-thinning and shearthickening) may happen, and has capability to predict normal stress differences too that are seen in die-swelling and rodclimbing behaviors in non-Newtonian fluids. Equations of motion and heat transfer for this flow are derived in dimensionless form. Homotopy perturbation method (HPM) is employed to solve non-linear coupled differential equations governing the problem. The obtained solutions show a very good accuracy in comparison with numerical results. The temperature profiles for power-law and second grade parameters are also given and depicted in figures.
Keywords
, Non-Newtonian fluid, Modified second grade fluid, Homotopy perturbation method, Porous plate
@inproceedings{paperid:1063056,
author = {Golafshan, Bijan and Bradaran Rahimi, Asgar},
title = {Homotopy Perturbation Method to Study Flow and Heat Transfer of a Modified Second Grade Fluid over a Porous Plate},
booktitle = {The 25th Annual International Conference on Mechanical Engineering},
year = {2017},
location = {Tehran, IRAN},
keywords = {Non-Newtonian fluid; Modified second grade
fluid; Homotopy perturbation method; Porous plate},
}
%0 Conference Proceedings
%T Homotopy Perturbation Method to Study Flow and Heat Transfer of a Modified Second Grade Fluid over a Porous Plate
%A Golafshan, Bijan
%A Bradaran Rahimi, Asgar
%J The 25th Annual International Conference on Mechanical Engineering
%D 2017
