Stability analysis of stagnation-point flow over a stretching/shrinking sheet

被引:54
作者
Awaludin, I. S. [1 ]
Weidman, P. D. [2 ]
Ishak, Anuar [1 ]
机构
[1] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Bangi 43600, Selangor, Malaysia
[2] Univ Colorado, Dept Mech Engn, Boulder, CO 80309 USA
关键词
BOUNDARY-LAYER-FLOW; SHRINKING SHEET; HEAT-TRANSFER; MICROPOLAR FLUID; VISCOUS-FLOW; SURFACE;
D O I
10.1063/1.4947130
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
The stagnation point flow over a linearly stretching or shrinking sheet is considered in the present study. The transformed ordinary differential equations are solved numerically. Dual solutions are possible for the shrinking case, while the solution is unique for the stretching case. For the shrinking case, a linear temporal stability analysis is performed to determine which one of the solution is stable and thus physically reliable. (C) 2016 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
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页数:7
相关论文
共 21 条
[1]   A note on convective heat transfer of an MHD Jeffrey fluid over a stretching sheet [J].
Ahmed, Jawad ;
Shahzad, Azeem ;
Khan, Masood ;
Ali, Ramzan .
AIP ADVANCES, 2015, 5 (11)
[2]   FLOW PAST A STRETCHING PLATE [J].
CRANE, LJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1970, 21 (04) :645-&
[3]   Closed-form exact solutions of MHD viscous flow over a shrinking sheet [J].
Fang, Tiegang ;
Zhang, Ji .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (07) :2853-2857
[4]  
Goldstein S., 1938, MODERN DEV FLUID DYN
[5]   HEAT-TRANSFER CHARACTERISTICS OF A CONTINUOUS, STRETCHING SURFACE WITH VARIABLE TEMPERATURE [J].
GRUBKA, LJ ;
BOBBA, KM .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1985, 107 (01) :248-250
[6]  
Hiemenz K., 1911, DINGLERS POLYTECHNIS, V326, P321
[7]   The influence of greater viscosity in the flow around the cylinder and around the sphere. [J].
Homann, F .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1936, 16 :153-164
[8]   STAGNATION-POINT FLOW OVER A SHRINKING SHEET IN A MICROPOLAR FLUID [J].
Ishak, Anuar ;
Lok, Yian Yian ;
Pop, Ioan .
CHEMICAL ENGINEERING COMMUNICATIONS, 2010, 197 (11) :1417-1427
[9]   MHD stagnation point flow towards a stretching sheet [J].
Ishak, Anuar ;
Jafar, Khamisah ;
Nazar, Roslinda ;
Pop, Ioan .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2009, 388 (17) :3377-3383
[10]   Forced convection analysis for generalized Burgers nanofluid flow over a stretching sheet [J].
Khan, Masood ;
Khan, Waqar Azeem .
AIP ADVANCES, 2015, 5 (10)