scholarly journals Effects of Navier slip on a steady flow of an incompressible viscous fluid confined within spirally enhanced channel

2020 ◽  
Vol 28 (1) ◽  
Author(s):  
J. A. Gbadeyan ◽  
J. U. Abubakar ◽  
T. L. Oyekunle
Keyword(s):  
Viscous Fluid ◽  
Steady Flow ◽  
Incompressible Viscous Fluid ◽  
Navier Slip

Steady flow in rapidly rotating variable-area rectangular ducts. Part 2. Small divergences

1977 ◽  
Vol 81 (2) ◽  
pp. 353-368 ◽  
Author(s):  
A. Calderon ◽  
J. S. Walker
Keyword(s):  
Viscous Fluid ◽  
Steady Flow ◽  
Successive Stage ◽  
Incompressible Viscous Fluid ◽  
Rectangular Duct ◽  
Fourth Stage ◽  
Ekman Number ◽  
Centre Line ◽  
The Relationship

This paper treats the steady inertialess flow of an incompressible viscous fluid through an infinite rectangular duct rotating rapidly about an axis (the y axis) perpendicular to its centre-line (the x axis). The prototype considered has parallel sides at z = ± 1 for all x, parallel top and bottom at y = ± a for x < 0 and straight diverging top and bottom at y = ± (a + bx) for x > 0. An earlier paper (Walker 1975) presented solutions for b = ±(1), for which the flow in the diverging part (x > 0) is carried by a thin, highvelocity sheet jet adjacent to the side at z = 1, the flow elsewhere in this part being essentially stagnant. The present paper considers the evolution of the flow as the divergence decreases from O(1) to zero, the flow being fully developed for b = 0. This evolution involves four intermediate stages depending upon the relationship between b and E, the (small) Ekman number. In each successive stage, the flow-carrying side layer in the diverging part becomes thicker, until in the fourth stage, it spans the duct, so that none of the fluid is stagnant.

scholarly journals Steady Flow over a Rotating Disk in Porous Medium with Heat Transfer

2009 ◽  
Vol 14 (1) ◽  
pp. 21-26 ◽  
Author(s):  
H. A. Attia
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Energy Transfer ◽  
Viscous Fluid ◽  
Steady Flow ◽  
Numerical Solutions ◽  
Rotating Disk ◽  
Incompressible Viscous Fluid ◽  
Governing Equations ◽  
Temperature Distributions

The steady flow of an incompressible viscous fluid above an infinite rotating disk in a porous medium is studied with heat transfer. Numerical solutions of the nonlinear governing equations which govern the hydrodynamics and energy transfer are obtained. The effect of the porosity of the medium on the velocity and temperature distributions is considered.

Initial Flow in the Entrance of a Straight Circular Pipe

1966 ◽  
Vol 70 (662) ◽  
pp. 368-369 ◽  
Author(s):  
J. Gillis ◽  
M. Shimshoni
Keyword(s):  
Viscous Fluid ◽  
Radial Velocity ◽  
Steady Flow ◽  
Velocity Component ◽  
Axial Symmetry ◽  
Entrance Region ◽  
Incompressible Viscous Fluid ◽  
Circular Pipe ◽  
Initial Flow ◽  
Component Parallel

A solution of the problem of the initial flow in the entrance region of a pipe has been given by Atkinson and Goldstein. In this note the authors compute this solution in greater detail, and compare their results with those of Atkinson and Goldstein. The range of the validity of the solution is shown to be smaller than originally thought.Atkinson and Goldstein considered the equations for the steady flow of an incompressible viscous fluid into a straight circular pipe of radius a. The flow is supposed to have axial symmetry, u being the velocity component parallel to the axis x, and v the radial velocity. The, distance from the axis is denoted by r.

scholarly journals Numerical Method in Two Dimensional Boundary Layer Theory for Incompressible Viscous Fluid

2013 ◽  
Vol 38 ◽  
pp. 61-73
Author(s):  
MA Haque
Keyword(s):  
Boundary Layer ◽  
Viscous Fluid ◽  
Initial Value Problem ◽  
Shooting Method ◽  
Boundary Layer Equation ◽  
Incompressible Viscous Fluid ◽  
Initial Value ◽  
Box Scheme ◽  
Runge Kutta Method ◽  
Dimensional Boundary

In this paper laminar flow of incompressible viscous fluid has been considered. Here two numerical methods for solving boundary layer equation have been discussed; (i) Keller Box scheme, (ii) Shooting Method. In Shooting Method, the boundary value problem has been converted into an equivalent initial value problem. Finally the Runge-Kutta method is used to solve the initial value problem. DOI: http://dx.doi.org/10.3329/rujs.v38i0.16549 Rajshahi University J. of Sci. 38, 61-73 (2010)

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