Magnetohydrodynamic two-phase dusty fluid flow and heat model over deforming isothermal surfaces

被引:95
作者
Turkyilmazoglu, Mustafa [1 ]
机构
[1] Hacettepe Univ, Dept Math, TR-06532 Ankara, Turkey
关键词
BOUNDARY-LAYER-FLOW; SLOW VISCOUS MOTION; INFINITE FLAT-PLATE; MHD SLIP-FLOW; STRETCHING SHEET; VISCOELASTIC FLUID; SHRINKING SHEET; PLANE WALL; MULTIPLE SOLUTIONS; SPHERE PARALLEL;
D O I
10.1063/1.4965926
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This paper is devoted to the mathematical analysis of a magnetohydrodynamic viscous two-phase dusty fluid flow and heat transfer over permeable stretching or shrinking bodies. The wall boundary is subjected to a linear deformation as well as to a quadratic surface temperature. Such a highly nonlinear phenomenon, for the first time in the literature, is attacked to search for occurrence of exact solutions, whose numerical correspondences are already available for limited wall transpiration velocities. The obtained analytical solutions are found be in perfect line with the numerical computations. Besides this, exact solutions point to the existence of dual solutions for both permeable stretching and shrinking cases, which were not detected from the numerical studies up to date. The existence of such exact solutions and their parameter domain particularly depending on the wall suction or injection are successfully analyzed. The physical outcomes concerning the effects of suspended particles on the momentum and thermal boundary layers well-documented in the open literature can be best understood from the presented exact solutions. Published by AIP Publishing.
引用
收藏
页数:9
相关论文
共 46 条
[41]   Analytic heat and mass transfer of the mixed hydrodynamic/thermal slip MHD viscous flow over a stretching sheet [J].
Turkyilmazoglu, M. .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2011, 53 (10) :886-896
[42]   Multiple solutions of heat and mass transfer of MHD slip flow for the viscoelastic fluid over a stretching sheet [J].
Turkyilmazoglu, M. .
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2011, 50 (11) :2264-2276
[43]   HYDROMAGNETIC FLOW OF A DUSTY FLUID OVER A STRETCHING SHEET [J].
VAJRAVELU, K ;
NAYFEH, J .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1992, 27 (06) :937-945
[44]   Stagnation flow towards a shrinking sheet [J].
Wang, C. Y. .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2008, 43 (05) :377-382
[45]   LIQUID-FILM ON AN UNSTEADY STRETCHING SURFACE [J].
WANG, CY .
QUARTERLY OF APPLIED MATHEMATICS, 1990, 48 (04) :601-610
[46]   A formula for the wall-amplified added mass coefficient for a solid sphere in normal approach to a wall and its application for such motion at low Reynolds number [J].
Yang, F. -L. .
PHYSICS OF FLUIDS, 2010, 22 (12)