UNSTEADY BOUNDARY LAYER FLOW OF NANOFLUID PAST AN IMPULSIVELY STRETCHING SHEET

被引：52
作者：
Mustafa, M. [1 ]
Hayat, T. [2 ]
Alsaedi, A. [3 ]
机构：
[1] Natl Univ Sci & Technol, Res Ctr Modeling & Simulat, Islamabad 44000, Pakistan
[2] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
来源：
JOURNAL OF MECHANICS | 2013年 / 29卷 / 03期
关键词：
Nanofluid; Unsteady flow; Similar solution; STAGNATION-POINT FLOW; MIXED CONVECTION FLOW; HEAT-TRANSFER; MASS-TRANSFER; VISCOELASTIC FLUID; POROUS-MEDIUM; LIQUID-FILM; SURFACE; EQUATIONS; REGION;
D O I：
10.1017/jmech.2013.9
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The unsteady laminar boundary layer flow of nanofluid caused by a linearly stretching sheet is considered. Transport equations contain the simultaneous effects of Brownian motion and thermophoretic diffusion of nanoparticles. The relevant partial differential equations are non-dimensionalized and transformed into similar forms by using appropriate similarity transformations. The uniformly valid explicit expressions of velocity, temperature and nanoparticles volume fraction are derived. Convergence of the series solutions is carefully analyzed. It is observed that an increase in the strength of Brownian motion effect rises the temperature appreciably. However rate of heat transfer and nanoparticles concentration at the sheet is reduced when Brownian motion effect intensifies. It is also found that the temperature and nanoparticles concentration are increasing functions of the unsteady parameter.
引用
收藏
页码：423 / 432
页数：10
相关论文
共 44 条
[31]   Stagnation-point flow of a nanofluid towards a stretching sheet [J].
Mustafa, M. ;
Hayat, T. ;
Pop, I. ;
Asghar, S. ;
Obaidat, S. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2011, 54 (25-26) :5588-5594
[32]   Heat transfer in a liquid film over an unsteady stretching sheet [J].
Nandeppanavar, Mahantesh M. ;
Vajravelu, K. ;
Abel, M. Subhas ;
Ravi, S. ;
Jyoti, H. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2012, 55 (04) :1316-1324
[33]   Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet [J].
Nazar, R ;
Amin, N ;
Filip, D ;
Pop, I .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2004, 42 (11-12) :1241-1253
[34]   The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid [J].
Nield, D. A. ;
Kuznetsov, A. V. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2009, 52 (25-26) :5792-5795
[35]   FLOW OF A VISCOELASTIC FLUID OVER A STRETCHING SHEET [J].
RAJAGOPAL, KR ;
NA, TY ;
GUPTA, AS .
RHEOLOGICA ACTA, 1984, 23 (02) :213-215
[36]   Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: A numerical study [J].
Rana, P. ;
Bhargava, R. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (01) :212-226
[37]   Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation [J].
Rashidi, M. M. ;
Pour, S. A. Mohimanian ;
Abbasbandy, S. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (04) :1874-1889
[38]   BOUNDARY-LAYER BEHAVIOR ON CONTINUOUS SOLID SURFACES .1. BOUNDARY-LAYER EQUATIONS FOR 2-DIMENSIONAL AND AXISYMMETRIC FLOW [J].
SAKIADIS, BC .
AICHE JOURNAL, 1961, 7 (01) :26-28
[39]   Boundary layer flow and heat transfer over a stretching sheet with Newtonian heating [J].
Salleh, M. Z. ;
Nazar, R. ;
Pop, I. .
JOURNAL OF THE TAIWAN INSTITUTE OF CHEMICAL ENGINEERS, 2010, 41 (06) :651-655
[40]   Unsteady mixed convection flow in the stagnation region of a heated vertical plate due to impulsive motion [J].
Seshadri, R ;
Sreeshylan, N ;
Nath, G .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2002, 45 (06) :1345-1352
12345