scholarly journals Viscous Flows Driven by Uniform Shear over a Porous Stretching Sheet in the Presence of Suction/Blowing

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Samir Kumar Nandy ◽  
Swati Mukhopadhyay
Keyword(s):  
Stretching Sheet ◽  
Viscous Flows ◽  
Flow Reversal ◽  
Two Dimensional ◽  
Suction Velocity ◽  
Uniform Shear ◽  
Uniform Shear Flow ◽  
Horizontal Velocity Component ◽  
Two Dimensional Flow ◽  
Streamwise Position

An analysis is carried out to study the steady two-dimensional flow of an incompressible viscous fluid past a porous deformable sheet, which is stretched in its own plane with a velocity proportional to the distance from the fixed point subject to uniform suction or blowing. A uniform shear flow of strain rate β is considered over the stretching sheet. The analysis of the result obtained shows that the magnitude of the wall shear stress increases with the increase of suction velocity and decreases with the increase of blowing velocity and this effect is more pronounced for suction than blowing. It is seen that the horizontal velocity component (at a fixed streamwise position along the plate) increases with the increase in the ratio of shear rate β and stretching rate (c) (i.e., β/c) and there is an indication of flow reversal. It is also observed that this flow reversal region increases with the increase in β/c.

A perturbation analysis of the laminar far wake behind a symmetrical two-dimensional body in a uniform shear flow

1973 ◽  
Vol 61 (2) ◽  
pp. 305-321 ◽  
Author(s):  
Masaru Kiya ◽  
Mikio Arie
Keyword(s):  
Shear Flow ◽  
Stream Function ◽  
Perturbation Analysis ◽  
Maximum Velocity ◽  
Two Dimensional ◽  
Low Velocity ◽  
Velocity Defect ◽  
Uniform Shear ◽  
Uniform Shear Flow ◽  
Far Wake

An aspect of the laminar far wake behind a symmetrical two-dimensional body placed in a uniform shear flow is described theoretically by means of the Oseen type of successive approximation, in which the shear is regarded as a small perturbation on a uniform stream. The expression for the stream function is determined up to the third approximation both in and outside the wake region, and the region in which the results of the perturbation analysis are valid is also determined. The stream function is found to contain four constants which cannot be determined from the boundary conditions for the far wake. The analysis also shows that the spreading of the wake is greater towards the side of smaller velocity than the side of larger velocity, the asymmetrical feature of the velocity defect becoming more evident as the distance from the obstacle is increased: the point which shows the maximum velocity defect shifts to the low-velocity side.

Steady flow through non-uniform gauzes of arbitrary shape

1959 ◽  
Vol 5 (3) ◽  
pp. 355-368 ◽  
Author(s):  
J.W Elder
Keyword(s):  
Arbitrary Shape ◽  
Axisymmetric Flow ◽  
Circular Cone ◽  
The Other ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Uniform Shear ◽  
Two Dimensional Flow ◽  
Diverging Channel ◽  
Flow Through

The steady, two-dimensional flow through an arbitrarily-shaped gauze, of non-uniform properties, placed in a parallel channel is considered for the case in which viscosity can be ignored except in the immediate vicinity of the gauze. The equations are linearized by requiring departures from uniformity both in the flow and in the gauze parameters to be small. Knowledge of any three of the upstream profile, the downstream profile, the shape of the gauze and the gauze parameters, allows the other to be calculated from a linear relation between these four quantities. Particular solutions are given for the production of a uniform shear and the flow through linear and parabolic gauzes. The validity of the solution is verified by experiment. It is shown that the method can also be applied to two-dimensional flow in a diverging channel, axisymmetric flow in a circular pipe and in a circular cone and to flow through multiple gauzes.

Thermocapillary Flow of a Thin Nanoliquid Film Over an Unsteady Stretching Sheet

2015 ◽  
Vol 138 (4) ◽  
Author(s):  
S. Maity ◽  
Y. Ghatani ◽  
B. S. Dandapat
Keyword(s):  
Stretching Sheet ◽  
Volume Fraction ◽  
The Other ◽  
Two Dimensional ◽  
Nanoparticle Volume Fraction ◽  
Governing Equations ◽  
Unsteady Stretching Sheet ◽  
Planar Film ◽  
Two Dimensional Flow ◽  
Film Thinning

The two-dimensional flow of a thin nanoliquid film over an unsteady stretching sheet is studied under the assumption of planar film thickness when the sheet is heated/cooled along the stretching direction. The governing equations of momentum, energy are solved numerically by using finite difference method. The rate of film thinning decreases with the increase in the nanoparticle volume fraction. On the other hand, thermocapillary parameter influences the film thinning. A boundary within the film is delineated such that the sign of Tz changes depending on the stretching distance from the origin. Further the boundary for Tz > 0 enlarges when the volume fraction of the nanoparticle increases.

scholarly journals Turbulent Wakes behind Two-Dimensional Bodies in a Uniform Shear Flow

1976 ◽  
Vol 19 (129) ◽  
pp. 274-282 ◽  
Author(s):  
Masaru KIYA ◽  
Hisataka TAMURA ◽  
Mikio ARIE
Keyword(s):  
Shear Flow ◽  
Two Dimensional ◽  
Uniform Shear ◽  
Uniform Shear Flow ◽  
Turbulent Wakes

Boundary layer flow of an Oldroyd-B fluid in the region of a stagnation point over a stretching sheet

2010 ◽  
Vol 88 (9) ◽  
pp. 635-640 ◽  
Author(s):  
M. Sajid ◽  
Z. Abbas ◽  
T. Javed ◽  
N. Ali
Keyword(s):  
Boundary Layer ◽  
Stagnation Point ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Two Dimensional ◽  
Two Dimensional Flow ◽  
Dimensional Boundary ◽  
Layer Flow ◽  
Parameter Values ◽  
The Mathematical Model

In this paper, the mathematical model for the two-dimensional boundary layer flow of an Oldroyd-B fluid is presented. The developed equations are used to discuss the problem of two-dimensional flow in the region of a stagnation point over a stretching sheet. The obtained partial differential equations are reduced to an ordinary differential equation by a suitable transformation. The obtained equation is then solved using a finite difference method. The influence of the pertinent fluid parameters on the velocity is discussed through graphs. The behaviour of f ″(0) is also investigated with changes in parameter values. It is observed that an increase in the relaxation time constant causes a reduction in the boundary layer thickness. To the best of our knowledge, this type of solution for an Oldroyd-B fluid is presented for the first time in the literature.

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