Investigation of peristaltic flow of Williamson nanofluid in a curved channel with compliant walls

被引:47
作者
Nadeem, S. [1 ]
Maraj, E. N. [1 ,2 ]
Akbar, Noreen Sher [2 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
[2] Natl Univ Sci & Technol, DBS&H, CEME, Islamabad, Pakistan
关键词
Peristaltic flow; Williamson fluid; Nanoparticles; Curved channel; Compliant walls; Homotopy perturbation method; HEAT-TRANSFER; FLUID; TRANSPORT; MOTION;
D O I
10.1007/s13204-013-0234-9
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
In the present paper, we have examined the peristaltic flow of Williamson nanofluid in a curved channel comprising compliant walls. The governing equations of a Williamson fluid model with nanoparticles for curved channel are derived, including the effects of curvature and heat dissipation. The highly nonlinear, partial differential equations are simplified by using the wave frame transformation, long wave length and low Reynolds number assumptions. The reduced, nonlinear, coupled differential equations are solved analytically with the help of the homotopy perturbation method. The physical features of pertinent parameters have been discussed by plotting the graphs of velocity, temperature, concentration profile and stream functions.
引用
收藏
页码:511 / 521
页数:11
相关论文
共 24 条
[1]  
Afifi N., 2011, Int. Math. Forum, V6, P1345
[2]   Peristaltic Flow of a Phan-Thien-Tanner Nanofluid in a Diverging Tube [J].
Akbar, Noreen ;
Nadeem, S. .
HEAT TRANSFER-ASIAN RESEARCH, 2012, 41 (01) :10-22
[3]   Thermal and velocity slip effects on the peristaltic flow of a six constant Jeffrey's fluid model [J].
Akbar, Noreen Sher ;
Nadeem, S. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2012, 55 (15-16) :3964-3970
[4]   Endoscopic Effects on Peristaltic Flow of a Nanofluid [J].
Akbar, Noreen Sher ;
Nadeem, S. .
COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 56 (04) :761-768
[5]   Natural convective boundary layer flow of a nanofluid past a convectively heated vertical plate [J].
Aziz, A. ;
Khan, W. A. .
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2012, 52 :83-90
[6]  
Choi S. U. S., 1995, Trans. ASME, V66, P99
[7]  
Kramer M. O., 1960, J AEROSP SCI, V68, P27
[8]  
Latham T. W, 1966, THESIS
[9]   Heat transfer enhancement by using nanofluids in forced convection flows [J].
Maïga, SE ;
Palm, SJ ;
Nguyen, CT ;
Roy, G ;
Galanis, N .
INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 2005, 26 (04) :530-546
[10]   The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: Application of an endoscope [J].
Mekheimer, Kh. S. ;
Elmaboud, Y. Abd .
PHYSICS LETTERS A, 2008, 372 (10) :1657-1665