Three-Dimensional Magnetohydrodynamics Flow of Upper Convected Maxwell Fluid Along an Infinite Plane Wall with Periodic Suction

2016 ◽  
Vol 13 (11) ◽  
pp. 8274-8282 ◽  
Author(s):  
M Shoaib ◽  
M. A Rana ◽  
A. M Siddiqui ◽  
M Darus
Keyword(s):  
Three Dimensional ◽  
Maxwell Fluid ◽  
Plane Wall ◽  
Infinite Plane

Three-dimensional flow of Jeffrey fluid along an infinite plane wall with periodic suction

Meccanica ◽  
2017 ◽  
Vol 52 (11-12) ◽  
pp. 2705-2714 ◽  
Author(s):  
A. M. Siddiqui ◽  
M. Shoaib ◽  
M. A. Rana
Keyword(s):  
Three Dimensional ◽  
Plane Wall ◽  
Jeffrey Fluid ◽  
Infinite Plane ◽  
Three Dimensional Flow ◽  
Dimensional Flow

Stokes flow through periodic orifices in a channel

1994 ◽  
Vol 263 ◽  
pp. 207-226 ◽  
Author(s):  
Y. Zeng ◽  
S. Weinbaum
Keyword(s):  
Aspect Ratio ◽  
Stokes Flow ◽  
Three Dimensional ◽  
Plane Wall ◽  
Channel Height ◽  
Infinite Plane ◽  
Electron Microscopic ◽  
Dimensional Solution ◽  
Aspect Ratios ◽  
Flow Through

This paper develops a three-dimensional infinite series solution for the Stokes flow through a parallel walled channel which is obstructed by a thin planar barrier with periodically spaced rectangular orifices of arbitrary aspect ratio B’/d’ and spacing D’. Here B’ is the half-height of the channel and d’ is the half-width of the orifice. The problem is motivated by recent electron microscopic studies of the intercellular channel between vascular endothelial cells which show a thin junction strand barrier with discontinuities or breaks whose spacing and width vary with the tissue. The solution for this flow is constructed as a superposition of Hasimoto's (1958) general solution for the two-dimensional flow through a periodic slit array in an infinite plane wall and a new three-dimensional solution which corrects for the top and bottom boundaries. In contrast to the well-known solutions of Sampson (1891) and Hasimoto (1958) for the flow through zero-thickness orifices of circular or elliptic cross-section or periodic slits in an infinite plane wall, which exhibit characteristic viscous velocity profiles, the present bounded solutions undergo a fascinating change in behaviour as the aspect ratio B’/d’ of the orifice opening is increased. For B’/d’ [Lt ] 1 and (D’ –- d’)/B’ of O(1) or greater, which represents a narrow channel, the velocity has a minimum at the orifice centreline, rises sharply near the orifice edges and then experiences a boundary-layer-like correction over a thickness of O(B’) to satisfy no-slip conditions. For B’/d’ of O(1) the profiles are similar to those in a rectangular duct with a maximum on the centreline, whereas for B’/d’ [Gt ] 1, which describes widely separated channel walls, the solution approaches Hasimoto's solution for the periodic infinite-slit array. In the limit (D’ –- d’)/B’ [Lt ] 1, where the width of the intervening barriers is small compared with the channel height, the solutions exhibit the same behaviour as Lee & Fung's (1969) solution for the flow past a single cylinder. The drag on the zero-thickness barriers in this case is nearly the same as for the cylinder for all aspect ratios.

scholarly journals Nonlinear convection in nano Maxwell fluid with nonlinear thermal radiation: A three-dimensional study

2018 ◽  
Vol 57 (3) ◽  
pp. 1927-1935 ◽  
Author(s):  
B. Mahanthesh ◽  
B.J. Gireesha ◽  
G.T. Thammanna ◽  
S.A. Shehzad ◽  
F.M. Abbasi ◽  
...  
Keyword(s):  
Thermal Radiation ◽  
Three Dimensional ◽  
Maxwell Fluid ◽  
Nonlinear Thermal Radiation ◽  
Nonlinear Convection

The boundary layer due to a three-dimensional vortex loop

1987 ◽  
Vol 185 ◽  
pp. 569-598 ◽  
Author(s):  
S. Ersoy ◽  
J. D. A. Walker
Keyword(s):  
Boundary Layer ◽  
Three Dimensional ◽  
Symmetry Plane ◽  
Layer Growth ◽  
Plane Wall ◽  
Vortex Loop ◽  
Loop Shape ◽  
Layer Flow ◽  
Boundary Layer Growth ◽  
Moving Vortex

The nature of the boundary layer induced by the motion of a three-dimensional vortex loop towards a plane wall is considered. Initially the vortex is taken to be a ring approaching a plane wall at an angle of attack in an otherwise stagnant fluid; the ring rapidly distorts into a loop shape due to the influence of the wall and the trajectory is computed from a numerical solution of the Biot-Savart integral. As the vortex loop moves, an unsteady boundary-layer flow develops on the wall. A method is described which allows the computation of the flow velocities on and near the symmetry plane of the vortex loop within the boundary layer. The computed results show the development of a variety of complex three-dimensional separation phenomena. Some of the solutions ultimately show strong localized boundary-layer growth and are suggestive that a boundary-layer eruption and a strong viscous-inviscid interaction will be induced by the moving vortex.

Soret and Dufour Effects on Three Dimensional Upper-Convected Maxwell Fluid with Chemical Reaction and Non-Linear Radiative Heat Flux

2017 ◽  
Vol 15 (3) ◽  
Author(s):  
M. Ramzan ◽  
M. Bilal ◽  
Jae Dong Chung
Keyword(s):  
Heat Flux ◽  
Differential Equations ◽  
Chemical Reaction ◽  
Radiative Heat ◽  
Three Dimensional ◽  
Maxwell Fluid ◽  
Radiative Heat Flux ◽  
Soret And Dufour Effects ◽  
Non Linear ◽  
Linear Differential

Abstract Three dimensional chemically reactive upper-convected Maxwell (UCM) fluid flow over a stretching surface is considered to examine Soret and Dufour effects on heat and mass transfer. During the formulation of energy equation, non-linear radiative heat flux is considered. Similarity transformation reduces the partial differential equations of flow problem into ordinary differential equations. These non-linear differential equations are then solved by using bvp4c MATLAB built-in function. A comparison of the present results with the published work is also included. Effects of some prominent parameters such as Soret and Dufour number, chemical reaction parameter, Prandtl number, Schmidt number and thermal radiation on velocity, temperature and concentration are discussed graphically and numerically. A comparison with the previously published work is also included in a tabular form.

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