Nonlinear problem of unsteady flow of an incompressible fluid past a slender profile

1974 ◽  
Vol 6 (6) ◽  
pp. 942-950 ◽  
Author(s):  
D. N. Gorelov ◽  
R. L. Kulyaev
Keyword(s):  
Unsteady Flow ◽  
Incompressible Fluid ◽  
Nonlinear Problem ◽  
Slender Profile

Unsteady Flow in a Porous Medium Between Two Infinite Parallel Plates in Relative Motion

1985 ◽  
Vol 107 (4) ◽  
pp. 534-535 ◽  
Author(s):  
V. M. Soundalgekar ◽  
H. S. Takhar ◽  
M. Singh
Keyword(s):  
Porous Medium ◽  
Approximate Solution ◽  
Unsteady Flow ◽  
Incompressible Fluid ◽  
Phase Angle ◽  
Viscous Incompressible Fluid ◽  
Parallel Plates ◽  
Phase Lead ◽  
Permeability Parameter ◽  
Transient Velocity

An approximate solution to the unsteady flow of a viscous incompressible fluid through a porous medium bounded by two infinite parallel plates, the lower one stationary and the upper one oscillating in its own plane, is presented here. Expressions for the transient velocity, the amplitude, the phase angle α and the skin-friction are derived and numerically calculated. It is observed that the amplitude increases with increasing σ, the permeability parameter, and ω, the frequency. Also, there is always a phase lead, and the phase angle α decreases with increasing σ.

Forces, moments, and added masses for Rankine bodies

1956 ◽  
Vol 1 (3) ◽  
pp. 319-336 ◽  
Author(s):  
L. Landweber ◽  
C. S. Yih
Keyword(s):  
Unsteady Flow ◽  
Incompressible Fluid ◽  
Rotational Motion ◽  
Added Mass ◽  
Dynamical Theory ◽  
The Body ◽  
Added Masses

The dynamical theory of the motion of a body through an inviscid and incompressible fluid has yielded three relations: a first, due to Kirchhoff, which expresses the force and moment acting on the body in terms of added masses; a second, initiated by Taylor, which expresses added masses in terms of singularities within the bòdy; and a third, initiated by Lagally, which expresses the forces and moments in terms of these singularities. The present investigation is concerned with generalizations of the Taylor and Lagally theorems to include unsteady flow and arbitrary translational and rotational motion of the body, to present new and simple derivations of these theorems, and to compare the Kirchhoff and Lagally methods for obtaining forces and moments. In contrast with previous generalizations, the Taylor theorem is derived when other boundaries are present; for the added-mass coefficients due to rotation alone, for which no relations were known, it is shown that these relations do not exist in general, although approximate ones are found for elongated bodies. The derivation of the Lagally theorem leads to new terms, compact expressions for the force and moment, and the complete expressions of the forces and moments in terms of singularities for elongated bodies.

scholarly journals Unsteady Flow Through a Porous Medium Due to Non-coaxial Rotations of a Porous Disk and a Fluid at Infinity Subjected to a Periodic Suction

2018 ◽  
Vol 23 (2) ◽  
pp. 401-411
Author(s):  
M. Guria
Keyword(s):  
Porous Medium ◽  
Velocity Field ◽  
Unsteady Flow ◽  
Incompressible Fluid ◽  
Closed Form ◽  
Viscous Incompressible Fluid ◽  
Shear Stresses ◽  
Porous Disk ◽  
Dimensional Parameters ◽  
Flow Through

Abstract The unsteady flow of a viscous incompressible fluid due to non-coaxial rotations of a porous disk and a fluid at infinity subjected to a periodic suction through a porous medium has been studied. The velocity field, shear stresses are obtained in closed form. The variations of primary and secondary velocities for different values of non dimensional parameters are depicted in figures.

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