Title of article :
An Investigation on Effects of Magnetic Parameter and Brownian Motion on Fluid Flow Between two Equal Plates: Application of Analytical Methods
Author/Authors :
Pasha, P Department of mechanical Engineering Mazandaran University of science and Technology - Babol, Iran , Nabi, H Department of mechanical Engineering Mazandaran University of science and Technology - Babol, Iran , Peiravi, M.M Department of mechanical Engineering Babol Noshirvani University of Technology - Babol, Iran , Pourfallah, M Department of mechanical Engineering Mazandaran University of science and Technology - Babol, Iran , Ganji, D.D Department of mechanical Engineering Babol Noshirvani University of Technology - Babol, Iran
Abstract :
In the present paper, the heat transfer and fluid velocity between two horizontal plates is examined in
existence of magnetic parameter. The parameters such as magnetic fluid flow, viscosity, Brownian
motion, and thermo-phoretic have been investigated according to this analysis. The innovation of this
paper is using two analytical methods to solve differential equations and compare the obtained results.
In this paper, the effects of magnetic field on fluid flow for industrial use were investigated. The effects
of magnetic field on fluid flow are surveyed by using Variation Iteration Method (VIM), Adomian
Decomposition Method (ADM) and compare these methods with numerical Runge-Kutta method.
According to results, increasing the values of magnetic parameter, the fluid velocity decreased and the
fluid viscosity increased. Also, Brownian motion and thermo-phoretic parameters were directly related
to the coefficient of friction. The Brownian motion of nanoparticles resulted in thermophoresis
phenomenon and increasing both Brownian motion and thermophoresis causes an increase in
temperature.
Farsi abstract :
در ﻣﻘﺎﻟﻪ ﺣﺎﺿﺮ ، اﻧﺘﻘﺎل ﺣﺮارت و ﺳﺮﻋﺖ ﺳﯿﺎل ﺑﯿﻦ دو ﺻﻔﺤﻪ اﻓﻘﯽ ﺑﺎ وﺟﻮد ﭘﺎراﻣﺘﺮ ﻣﻐﻨﺎﻃﯿﺴﯽ ﺑﺮرﺳﯽ ﺷﺪه اﺳﺖ. ﭘﺎراﻣﺘﺮﻫﺎﯾﯽ ﻣﺎﻧﻨﺪ ﺟﺮﯾ ﺎن ﺳﯿﺎل ﻣﻐﻨﺎﻃﯿﺴﯽ ، وﯾﺴﮑﻮزﯾﺘﻪ ، ﺣﺮﮐﺖ ﺑﺮاوﻧﯽ و ﺗﺮﻣﻮﻓﻮرﺗﯿﮏ ﺑﺎ ﺗﻮﺟﻪ ﺑﻪ اﯾ ﻦ ﻣﻮرد ﺑﺮرﺳﯽ ﺷﺪه اﺳﺖ. ﻧﻮآوري اﯾﻦ ﻣﻘﺎﻟﻪ اﺳﺘﻔﺎده از دو روش ﺗﺤﻠﯿﻠﯽ ﺑﺮاي ﻣﺤﺎﺳﺒﻪ ﻣﻌﺎدﻻت دﯾﻔﺮاﻧﺴﯿﻞ و ﻣﻘﺎﯾﺴﻪ اﯾ ﻦ ﻧﺘﺎﯾﺞ ﺑﺎ ﻫﻢ ﻣﯿﺒﺎﺷﺪ.در اﯾﻦ ﻣﻘﺎﻟﻪ ، اﺛﺮات ﻣﯿﺪان ﻣﻐﻨﺎﻃﯿﺴﯽ روي ﺟﺮﯾﺎن ﺳﯿﺎل ﺑﺮاي ﻣﺼﺎرف ﺻﻨﻌﺘﯽ ﻣﻮرد ﺑﺮرﺳﯽ ﻗﺮار ﮔﺮﻓﺘﻪ اﺳﺖ. اﺛﺮات ﻣﯿﺪان ﻣﻐﻨﺎﻃﯿﺴﯽ ﺟﺮﯾﺎن ﺳﯿﺎل ﺑﺎ اﺳﺘﻔﺎده از روش ﺗﮑﺮار ﺗﻐﯿﯿﺮات )VIM( و Adomian ﻣﻮرد ﺑﺮرﺳﯽ ﻗﺮار ﻣﯽ ﮔﯿﺮد و ﻧﺘﺎﯾﺞ ان ﺑﺎ روش ﻧﯿﻮﻣﺮﯾﮏ ﻣﻘﺎﯾﺴﻪ ﻣﯿﺸﻮد. ﻣﻄﺎﺑﻖ ﺑﺎ ﻧﺘﺎﯾﺞ ﺣﺎﺻﻠﻪ ﺑﺎ اﻓﺰاﯾﺶ اﺛﺮات ﻣﻐﻨﺎﻃﯿﺲ ، ﺳﺮﻋﺖ ﺟﺮﯾﺎن ﺳﯿﺎل ﮐﺎﻫﺶ ﻣﯽ ﯾﺎﺑﺪ و وﯾﺴﮑﻮزﯾﺘﻪ ﺑﯿﺸﺘﺮ ﻣﯿﺸﻮد. ﻫﻤﭽﻨﯿﻦ ﺿﺮﯾﺐ ﻧﯿﺮوي ﺑﺮاون ﺑﺎ ﺿﺮﯾﺐ ﺗﺮﻣﻮﻓﻮرﺗﯿﮏ راﺑﻄﻪ ﻣﺴﺘﻘﯿﻤﯽ ﺑﺎ ﺿﺮﯾﺐ اﺻﻄﮑﺎك دارﻧﺪ. ﻧﯿﺮوي ﺑﺮاون ﻧﺎﻧﻮذرات ﻧﺘﺎﯾﺞ ﺿﺮﯾﺐ ﺗﺮﻣﻮﻓﻮرﺗﯿﮏ ﻫﺴﺘﻨﺪ ﺑﻄﻮرﯾﮑﻪ ﺑﺎ اﻓﺰاﯾﺶ ﻧﯿﺮوي ﺑﺮاون و ﺗﺮﻣﻮﻓﻮرﺗﯿﮏ دﻣﺎ اﻓﺰاﯾﺶ ﻣﯽ ﯾﺎﺑﺪ.
Keywords :
Thermo-phoretic , Adomian decomposition method , Brownian motion , Hydrothermal Analysis , Two phase flow
Journal title :
International Journal of Engineering