Thin Film Flow of Micropolar Fluid in a Permeable Medium

被引:19
作者
Ali, Vakkar [1 ]
Gul, Taza [2 ]
Afridi, Shakeela [2 ]
Ali, Farhad [2 ]
Alharbi, Sayer Obaid [3 ]
Khan, Ilyas [4 ]
机构
[1] Majmaah Univ, Dept Mech & Ind Engn, Al Majmaah 11952, Saudi Arabia
[2] CUSIT, Dept Math, Peshawar 25000, Pakistan
[3] Majmaah Univ, Dept Math, Coll Sci Al Zulfi, Al Majmaah 11952, Saudi Arabia
[4] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
关键词
thin film of micropolar fluid; porous medium; thermophoresis; thermal radiation; skin friction; Nusselt number and Sherwood number; variable thickness of the liquid film; HAM; CONVECTION BOUNDARY-LAYER; UNSTEADY STRETCHING SHEET; HOMOTOPY ANALYSIS METHOD; HEAT-TRANSFER; POROUS-MEDIUM; MASS-TRANSFER; FLAT-PLATE; VISCOELASTIC FLUID; NATURAL-CONVECTION; SLIP-FLOW;
D O I
10.3390/coatings9020098
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The thin film flow of micropolar fluid in a porous medium under the influence of thermophoresis with the heat effect past a stretching plate is analyzed. Micropolar fluid is assumed as a base fluid and the plate is considered to move with a linear velocity and subject to the variation of the reference temperature and concentration. The latitude of flow is limited to being two-dimensional and is steadily affected by sensitive fluid film size with the effect of thermal radiation. The basic equations of fluid flow are changed through the similarity variables into a set of nonlinear coupled differential equations with physical conditions. The suitable transformations for the energy equation is used and the non-dimensional form of the temperature field are different from the published work. The problem is solved by using Homotopy Analysis Method (HAM). The effects of radiation parameter R, vortex-viscosity parameter , permeability parameter Mr, microrotation parameter Gr, Soret number Sr, thermophoretic parameter , inertia parameter Nr, Schmidt number Sc, and Prandtl number Pr are shown graphically and discussed.
引用
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页数:17
相关论文
共 37 条
[1]   Radiation effect on heat transfer of a micropolar fluid through a porous medium [J].
Abo-Eldahab, EM ;
Ghonaim, AF .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 169 (01) :500-510
[2]   A new model for viscous dissipation in porous media across a range of permeability values [J].
Al-Hadhrami, AK ;
Elliott, L ;
Ingham, DB .
TRANSPORT IN POROUS MEDIA, 2003, 53 (01) :117-122
[3]   Combined free and forced convection in vertical channels of porous media [J].
Al-Hadhrami, AK ;
Elliott, L ;
Ingham, DB .
TRANSPORT IN POROUS MEDIA, 2002, 49 (03) :265-289
[4]   Numerical study for micropolar flow over a stretching sheet [J].
Aouadi, Moncef .
COMPUTATIONAL MATERIALS SCIENCE, 2007, 38 (04) :774-780
[5]   Thin film flow and heat transfer on an unsteady stretching sheet with internal heating [J].
Aziz, R. C. ;
Hashim, I. ;
Alomari, A. K. .
MECCANICA, 2011, 46 (02) :349-357
[6]   Effects of chemical reaction on MHD free convection and mass transfer flow of a micropolar fluid with oscillatory plate velocity and constant heat source in a rotating frame of reference [J].
Bakr, A. A. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (02) :698-710
[7]   Effect of thermophoresis particle deposition in free convection boundary layer from a vertical flat plate embedded in a porous medium [J].
Chamkha, AJ ;
Pop, I .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2004, 31 (03) :421-430
[8]   Effect of heat generation or absorption on thermophoretic free convection boundary layer from a vertical flat plate embedded in a porous medium [J].
Chamkha, Ali J. ;
Al-Mudhaf, Ali F. ;
Pop, Ioan .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2006, 33 (09) :1096-1102
[9]   SLIP FLOW AND HEAT TRANSFER OF A SECOND-GRADE FLUID IN A POROUS MEDIUM OVER A STRETCHING SHEET WITH POWER-LAW SURFACE TEMPERATURE OR HEAT FLUX [J].
Chauhan, Dileep Singh ;
Olkha, Amala .
CHEMICAL ENGINEERING COMMUNICATIONS, 2011, 198 (09) :1129-1145
[10]  
Chauhan DS., 2012, ADV APPL SCI RES, V3, P75