Effects of slip on nonlinear convection in nanofluid flow on stretching surfaces

被引:41
作者
Shaw, Sachin [1 ]
Kameswaran, Peri K. [1 ,2 ]
Sibanda, Precious [1 ]
机构
[1] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, ZA-3209 Pietermaritzburg, South Africa
[2] VIT Univ, Sch Adv Sci, Fluid Dynam Div, Vellore 632014, Tamil Nadu, India
关键词
stagnation-point flow; nonlinear convection; partial slip; dual solutions; Soret effect; BOUNDARY-LAYER-FLOW; HEAT-TRANSFER; SHEET;
D O I
10.1186/s13661-015-0506-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate the effects of momentum, thermal, and solute slip boundary conditions on nanofluid boundary layer flow along a permeable surface. The conventional no-slip boundary conditions at the surface are replaced by slip boundary conditions. At moderate to high temperatures, the temperature-concentration dependence relation is nonlinear and the Soret effect is significant. The governing partial differential equations are solved numerically. The influence of significant parameters on the fluid properties as well as on the skin friction, local Nusselt number, local Sherwood number, and the local nanoparticle Sherwood number are determined. We show, among other results, that the existence and uniqueness of the solutions depends on the slip parameters, and that the region of existence of the dual solution increases with the slip parameters.
引用
收藏
页码:1 / 11
页数:11
相关论文
共 31 条
[1]  
[Anonymous], 2007, NANOFLUIDS SCI TECHN
[2]  
[Anonymous], 2015, FAR E J APPL MATH, DOI DOI 10.17654/FJAMJAN2015_
[3]  
[Anonymous], DEV APPL NONNEWTONIA
[4]  
[Anonymous], MEMS HDB
[5]   Hydrodynamic and thermal slip flow boundary layers over a flat plate with constant heat flux boundary condition [J].
Aziz, Abdul .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (03) :573-580
[6]   BOUNDARY CONDITIONS AT A NATURALLY PERMEABLE WALL [J].
BEAVERS, GS ;
JOSEPH, DD .
JOURNAL OF FLUID MECHANICS, 1967, 30 :197-&
[7]   Slip Effects on an Unsteady Boundary Layer Stagnation-Point Flow and Heat Transfer towards a Stretching Sheet [J].
Bhattacharyya, Krishnendu ;
Mukhopadhyay, Swati ;
Layek, G. C. .
CHINESE PHYSICS LETTERS, 2011, 28 (09)
[8]   Slip effects on boundary layer stagnation-point flow and heat transfer towards a shrinking sheet [J].
Bhattacharyya, Krishnendu ;
Mukhopadhyay, Swati ;
Layek, G. C. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2011, 54 (1-3) :308-313
[9]   FLOW PAST A STRETCHING PLATE [J].
CRANE, LJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1970, 21 (04) :645-&
[10]   TEMPERATURE-FIELD IN FLOW OVER A STRETCHING SHEET WITH UNIFORM HEAT-FLUX [J].
DUTTA, BK ;
ROY, P ;
GUPTA, AS .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 1985, 12 (01) :89-94