Flow of Herschel-Bulkley fluid through a two dimensional thin layer

被引:0
作者
Messelmi, Farid [1 ,2 ]
Merouani, Boubakeur [3 ]
机构
[1] Univ Ziane Achour Djelfa, Dept Math, Djelfa 17000, Algeria
[2] Univ Ziane Achour Djelfa, LDMM Lab, Djelfa 17000, Algeria
[3] Univ Setif, Dept Math, Setif 19000, Algeria
来源
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2013年 / 58卷 / 01期
关键词
asymptotic behaviour; Herschel-Bulkley fluid; thin layer;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The paper is devoted to the study of asymptotic behaviour of the solution of two dimensional steady flow of Herschel-Bulkley fluid through a thin layer. We prove some convergence results when the thicness tends to zero and we give the mechanical interpretation of the results.
引用
收藏
页码:119 / 130
页数:12
相关论文
共 14 条
[1]  
Boughanim F., 2004, ELECT J DIFF EQNS C, V11, P71
[2]  
BOURGEAT A, 1993, CR ACAD SCI I-MATH, V316, P965
[3]   NON-LINEAR EQUATIONS AND INEQUATIONS IN DUAL VECTORIAL SPACES [J].
BREZIS, H .
ANNALES DE L INSTITUT FOURIER, 1968, 18 (01) :115-&
[4]  
Bunoiu R, 2003, MATHS COMP SCI SER, V30, P71
[5]  
Bunoiu R, 2000, REV ROUM MATH PURE A, V45, P577
[6]  
Duvaut G, 1976, INEQUATIONS MECANIQU
[7]  
Ekeland I., 1974, ANAL CONVEXE PROBLEM
[8]  
Lions J., 1969, QUELQUES M THODES R
[9]   APPROXIMATE EQUATIONS FOR THE SLOW SPREADING OF A THIN SHEET OF BINGHAM PLASTIC FLUID [J].
LIU, KF ;
MEI, CC .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1990, 2 (01) :30-36
[10]   Herschel-Bulkley fluids:: Existence and regularity of steady flows [J].
Málek, J ;
Ruzicka, M ;
Shelukhin, VV .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2005, 15 (12) :1845-1861