Magnetohydrodynamic (MHD) flow analysis of second grade fluids in a porous medium with prescribed vorticity

被引:24
作者
Akbar, Tanvir [1 ]
Nawaz, Rab [1 ]
Kamran, Muhammad [2 ]
Rasheed, Amer [3 ]
机构
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
[2] COMSATS Inst Informat Technol, Dept Math, Wah Cantt, Pakistan
[3] Lahore Univ Management Sci, Dept Math, Lahore, Pakistan
关键词
INVERSE SOLUTIONS; HALL CURRENT; STEADY; STABILITY;
D O I
10.1063/1.4936184
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
Steady and unsteady flow of a second grade MHD fluid in a porous medium with Hall current effects is studied. Assuming an a priori known vorticity proportional to the stream function up to an additive uniform stream, exact solutions for velocity field are obtained corresponding to different choices of pertinent flow parameters. Graphical results are presented to depict the influence of pertinent flow parameters on the considered MHD flow. (C) 2015 Author(s).
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页数:14
相关论文
共 32 条
[1]  
Abbasi Fahad Munir, 2014, PLOS ONE, V9
[2]   MHD flow of a third grade fluid in a porous half space with plate suction or injection: An analytical approach [J].
Aziz, Asim ;
Aziz, Taha .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (21) :10443-10453
[3]   CERTAIN SOLUTIONS OF THE EQUATIONS OF THE PLANAR MOTION OF A 2ND-GRADE FLUID FOR STEADY AND UNSTEADY CASES [J].
BENHARBIT, AM ;
SIDDIQUI, AM .
ACTA MECHANICA, 1992, 94 (1-2) :85-96
[4]   UNSTEADY 2ND-GRADE ALIGNED MHD FLUID-FLOW [J].
CHANDNA, OP ;
OKUUKPONG, EO .
ACTA MECHANICA, 1994, 107 (1-4) :77-91
[5]   EXISTENCE, UNIQUENESS AND STABILITY OF REGULAR STEADY MOTIONS OF A 2ND-GRADE FLUID [J].
COSCIA, V ;
GALDI, GP .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1994, 29 (04) :493-506
[6]  
Cowling T.G., 1957, Magnetohydrodynamics
[7]   FLUIDS OF DIFFERENTIAL TYPE - CRITICAL-REVIEW AND THERMODYNAMIC ANALYSIS [J].
DUNN, JE ;
RAJAGOPAL, KR .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1995, 33 (05) :689-729
[8]   THERMODYNAMICS, STABILITY, AND BOUNDEDNESS OF FLUIDS OF COMPLEXITY-2 AND FLUIDS OF SECOND GRADE [J].
DUNN, JE ;
FOSDICK, RL .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1974, 56 (03) :191-252
[9]  
Fetecau C, 2012, ADV SCI LETT, V17, P266
[10]  
FOSDICK RL, 1979, ARCH RATION MECH AN, V70, P145, DOI 10.1007/BF00250351