An exact solution for the semi-stationary compressible Stokes problem

2021 ◽  
Author(s):  
Jianwei Dong
Keyword(s):  
Exact Solution ◽  
Stokes Problem

scholarly journals New exact solution for Rayleigh–Stokes problem of Maxwell fluid in a porous medium and rotating frame

2011 ◽  
Vol 1 (1) ◽  
pp. 9-12 ◽  
Author(s):  
Faisal Salah ◽  
Zainal Abdul Aziz ◽  
Dennis Ling Chuan Ching
Keyword(s):  
Exact Solution ◽  
Porous Medium ◽  
Stokes Problem ◽  
Maxwell Fluid ◽  
Rotating Frame

scholarly journals Extended Stokes' First Problem of an Oldroyd-B Fluid for Relatively Moving Half-Planes

2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
Chi-Min Liu
Keyword(s):  
Exact Solution ◽  
Relaxation Time ◽  
Stokes Problem ◽  
Original System ◽  
Rheological Parameters ◽  
Retardation Time ◽  
Series Form ◽  
Integral Transformations ◽  
Potential Applications ◽  
Induced Flow

An Oldroyd-B fluid suddenly disturbed by relatively moving half-planes is theoretically studied in this paper. This new problem, extended from the traditional Stokes' problem, recently attracts a great deal of attention due to its potential applications in engineering. Using integral transformations and dividing the original system into two subsystems, the exact solution is derived and shown in a series form. In addition to the general understanding of velocity developments, the effects of the relaxation time and the retardation time on the velocity profiles are examined in a series of figures. It is found that above two rheological parameters influence the induced flow in an opposite way. Other interesting characteristics are also elucidated from present results.

Exact solution of a four-site crystal model for an intermediate-valence system

1986 ◽  
Vol 47 (6) ◽  
pp. 1029-1034 ◽  
Author(s):  
J.C. Parlebas ◽  
R.H. Victora ◽  
L.M. Falicov
Keyword(s):  
Exact Solution ◽  
Intermediate Valence ◽  
Crystal Model
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