共查询到10条相似文献,搜索用时 125 毫秒
1.
The unsteady flow of a viscoelastic fluid with the fractional Maxwell model between two side walls perpendicular to a plate is investigated. Exact solutions for the velocity field are established by means of the Fourier and Laplace transforms. The similar solutions for Maxwell and Newtonian fluids can be obtained as limiting cases of our results. In the absence of side walls, all solutions that have been determined reduce to those corresponding to the motion over an infinite plate. 相似文献
2.
Dumitru Vieru Corina Fetecau Muhammad Athar Constantin Fetecau 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2009,60(2):334-343
The unsteady flow of a viscoelastic fluid with the fractional Maxwell model, induced by a constantly accelerating plate between
two side walls perpendicular to the plate, is investigated by means of the integral transforms. Exact solutions for the velocity
field are presented under integral and series forms in terms of the derivatives of generalized Mittag–Leffler functions. The
corresponding solutions for Maxwell fluids are obtained as limiting cases for β → 1. In the absence of the side walls, all
solutions that have been determined reduce to those corresponding to the motion over an infinite plate.
相似文献
3.
D. Vieru Corina Fetecau A. Sohail 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2011,9(3):161-172
The velocity field and the shear stresses corresponding to the motion of a second grade fluid between two side walls, induced
by an infinite plate that applies an accelerated shear stress to the fluid, are determined by means of the integral transforms.
The obtained solutions, presented under integral form in term of the solutions corresponding to the flow due to a constant
shear on the boundary, satisfy all imposed initial and boundary conditions. In the absence of the side walls, they reduce
to the similar solutions over an infinite plate. The Newtonian solutions are obtained as limiting cases of the general solutions.
The influence of the side walls on the fluid motion as well as a comparison between the two models is shown by graphical illustrations. 相似文献
4.
D. Vieru Corina Fetecau A. Sohail 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2011,62(1):161-172
The velocity field and the shear stresses corresponding to the motion of a second grade fluid between two side walls, induced by an infinite plate that applies an accelerated shear stress to the fluid, are determined by means of the integral transforms. The obtained solutions, presented under integral form in term of the solutions corresponding to the flow due to a constant shear on the boundary, satisfy all imposed initial and boundary conditions. In the absence of the side walls, they reduce to the similar solutions over an infinite plate. The Newtonian solutions are obtained as limiting cases of the general solutions. The influence of the side walls on the fluid motion as well as a comparison between the two models is shown by graphical illustrations. 相似文献
5.
D. Vieru Corina Fetecău C. Fetecău 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2008,59(5):834-847
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. 相似文献
6.
Asia AnjumMuhammad Ayub Masood Khan 《Communications in Nonlinear Science & Numerical Simulation》2012,17(1):472-482
In this paper, we establish the starting solutions for oscillating motions of an Oldroyd-B fluid between two side walls perpendicular to a plane wall. The expressions for the velocity field and the associated tangential stress at the bottom wall are obtained, presented under integral and series form. These satisfy all imposed initial and boundary conditions. The obtained solutions are graphically analyzed for the variations of interesting flow parameters. In the absence of side walls, all solutions that have been obtained reduce to those corresponding to the motion over an infinite plate. Moreover, the obtained solutions can be specialized to give similar solutions for Maxwell, second grade and Newtonian fluids performing the same motions. 相似文献
7.
This paper deals with the study of the MHD flow of non-Newtonian fluid on a porous plate. Two exact solutions for non-torsionally generated unsteady hydromagnetic flow of an electrically conducting second order incompressible fluid bounded by an infinite non-conducting porous plate subjected to a uniform suction or blowing have been analyzed. The governing partial differential equation for the flow has been established. The mathematical analysis is presented for the hydromagnetic boundary layer flow neglecting the induced magnetic field. The effect of presence of the material constants of the second order fluid on the velocity field is discussed. 相似文献
8.
Liancun Zheng Zhenlin Guo Xinxin Zhang 《Nonlinear Analysis: Real World Applications》2011,12(6):3499-3508
This paper deals with the 3D flow of a generalized Oldroyd-B fluid due to a constant pressure gradient between two side walls perpendicular to a plate. The fractional calculus approach is used to establish the constitutive relationship of the non-Newtonian fluid model. Exact analytic solutions for the velocity and stress fields, in terms of the Fox H-function, are established by means of the finite Fourier sine transform and the Laplace transform. Solutions similar to those for ordinary Oldroyd-B fluid as well as those for Maxwell and second-grade fluids are also obtained as limiting cases of the results presented. Furthermore, 3D figures for velocity and shear stress fields are presented for the first time for certain values of the parameters, and the associated transport characteristics are analyzed and discussed. 相似文献
9.
《Applied Mathematics Letters》2001,14(5):571-579
The exact solutions for the unsteady flow of an elastico-viscous fluid caused by general periodic oscillations are obtained. Further, the plate is assumed to be rigid as well as porous executing periodic rotary oscillations. The velocity field and shear stress are established. 相似文献
10.
This article looks into the unsteady rotating magnetohydrodynamic (MHD) flow of an incompressible second grade fluid in a porous half space. The flow is induced by a suddenly moved plate in its own plane. Both the fluid and plate rotate in unison with the same angular velocity. Analytic solution of the governing flow problem is obtained by using Fourier sine transform. Based on the modified Darcy's law, expression for velocity is obtained. The influence of pertinent parameters on the flow is delineated and appropriate conclusions are drawn. Several existing solutions of Newtonian fluid have been also deduced as limiting cases. 相似文献