Analytical solutions for squeeze flow of Bingham fluid with Navier slip condition

2006 ◽  
Vol 138 (2-3) ◽  
pp. 173-180 ◽  
Author(s):  
Shi-Pu Yang ◽  
Ke-Qin Zhu
2010 ◽  
Vol 52 (1-2) ◽  
pp. 268-277 ◽  
Author(s):  
Ming Fang ◽  
Robert P. Gilbert ◽  
Xian-Gao Liu

Sadhana ◽  
2021 ◽  
Vol 46 (1) ◽  
Author(s):  
Natalya V Burmasheva ◽  
Valentina V Privalova ◽  
Evgeniy Yu Prosviryakov

Author(s):  
Jing Zhao ◽  
Stanisław Migórski ◽  
Sylwia Dudek

AbstractWe study the Stokes problem for the incompressible fluid with mixed nonlinear boundary conditions of subdifferential type. The latter involve a unilateral boundary condition, the Navier slip condition, a nonmonotone version of the nonlinear Navier–Fujita slip condition, and the threshold slip and leak condition of frictional type. The weak form of the problem leads to a new class of variational–hemivariational inequalities on convex sets for the velocity field. Solution existence and the weak compactness of the solution set to the inequality problem are established based on the Schauder fixed point theorem.


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