Exact solutions for the flow of an Oldroyd-B fluid due to an infinite flat plate

被引：18
作者：
Vieru, D. [2 ]
Fetecau, Corina [2 ]
Fetecau, C. [1 ]
机构：
[1] Tech Univ Iasi, Dept Math, R-6600 Iasi, Romania
[2] Tech Univ Iasi, Dept Theoret Mech, R-6600 Iasi, Romania
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2008年 / 59卷 / 05期
关键词：
Infinite plate; velocity field; tangential stress; exact solutions; Oldroyd-B fluid;
D O I：
10.1007/s00033-007-6133-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The unsteady flow of an Oldroyd-B fluid due to an infinite flat plate, subject to a translation motion of linear time-dependent velocity in its plane, is studied by means of the Laplace transform. The velocity field and the associated tangential stress corresponding to the flow induced by the constantly accelerating plate as well as those produced by the impulsive motion of the plate are obtained as special cases. The solutions that have been determined, in all accordance with the solutions established using the Fourier transform, reduce to those for a Newtonian fluid as a limiting case. The similar solutions for a Maxwell fluid are also obtained.
引用
收藏
页码：834 / 847
页数：14
相关论文
共 50 条
[31]   Axial Couette flow of an Oldroyd-B fluid in an annulus [J].
Jamil, Muhammad ;
Khan, Najeeb Alam .
THEORETICAL AND APPLIED MECHANICS LETTERS, 2012, 2 (01) :012001
[32]   On the energetic balance for the flow of an Oldroyd-B fluid induced by a constantly accelerating plate [J].
Corina Fetecau ;
M. A. Imran ;
E. Axinte ;
C. Fetecau .
Zeitschrift für angewandte Mathematik und Physik, 2010, 61 :1085-1095
[33]   LINEAR-STABILITY ANALYSIS OF CONE AND PLATE FLOW OF AN OLDROYD-B FLUID [J].
OLAGUNJU, DO ;
COOK, LP .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1993, 47 :93-105
[34]   On the energetic balance for the flow of an Oldroyd-B fluid induced by a constantly accelerating plate [J].
Fetecau, Corina ;
Imran, M. A. ;
Axinte, E. ;
Fetecau, C. .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2010, 61 (06) :1085-1095
[35]   ON THE FLOW OF OLDROYD-B FLUIDS WITH FRACTIONAL DERIVATIVES OVER A PLATE THAT APPLIES SHEAR STRESS TO THE FLUID [J].
Zafar, Azhar Ali ;
Fetecau, Constantin ;
Mirza, Itrat Abbas .
MATHEMATICAL REPORTS, 2016, 18 (01)
[36]   Effects of Thermal Radiation on Mixed Convection Flow over a Permeable Vertical Shrinking Flat Plate in an Oldroyd-B Fluid [J].
Naganthran, Kohilavani ;
Nazar, Roslinda ;
Pop, Ioan .
SAINS MALAYSIANA, 2018, 47 (05) :1069-1076
[37]   On the Motion Induced by a Flat Plate That Applies Oscillating Shear Stresses to an Oldroyd-B Fluid: Applications [J].
Fetecau, Constantin ;
Fetecau, Corina ;
Vieru, Dumitru .
MATHEMATICS IN THE 21ST CENTURY, 2015, 98 :31-44
[38]   Analytic Solutions for the Unsteady Longitudinal Flow of an Oldroyd-B Fluid with Fractional Model [J].
Nazar, M. ;
Mahmood, A. ;
Athar, M. ;
Kamran, M. .
CHEMICAL ENGINEERING COMMUNICATIONS, 2012, 199 (02) :290-305
[39]   Unsteady flow of an Oldroyd-B fluid generated by a constantly accelerating plate between two side walls perpendicular to the plate [J].
Fetecau, Corina ;
Nazar, M. ;
Fetecau, C. .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2009, 44 (10) :1039-1047
[40]   Symmetry Reductions and Some Exact Solutions for Rotating Flows of An Oldroyd-B Fluid With Hall Currents [J].
Fakhar, K. ;
Joseph, B. Z. H. ;
Kara, A. H. ;
Morris, R. ;
Hayat, T. .
9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES (ICNPAA 2012), 2012, 1493 :345-349
12345