Bubble Growth in Generalized-Newtonian Fluid at Low-Mach Number Under Influence of Magnetic Field

被引:15
作者
Abu-Nab, Ahmed K. [1 ,3 ]
Elgammal, Mahmoud I. [2 ]
Abu-Bakr, Ali F. [1 ,4 ]
机构
[1] Menoufia Univ, Math & Comp Sci Dept, Fac Sci, Shibin Al Kawm 32511, Egypt
[2] Al Ghad Int Coll Appl Med Sci, Dept Preparatory Year, Al Madinah 42316, Saudi Arabia
[3] Moscow Inst Phys & Technol, Fluid Dynam & Seism Lab, Dolgoprudnyi 141700, Moscow Region, Russia
[4] Ural Fed Univ, Theoret & Math Phys Dept, Inst Nat Sci & Math, Lenin Ave 51, Ekaterinburg 620083, Russia
关键词
VAPOR-BUBBLE; GAS-BUBBLES; DYNAMICS; LIQUID;
D O I
10.2514/1.T6150
中图分类号
O414.1 [热力学];
学科分类号
摘要
We propose the results of a theoretical and mathematical model of the growing bubbles at low Mach number in a generalized Newtonian fluid. The system occurs under the effect of magnetic field and shear stress. The mathematical model is formulated and solved analytically on the basis of mass equation, Navier-Stokes equation, and diffusion equation. Analysis of the results demonstrates the role of magnetic field, shear stress, and electrical conductivity on the bubble growth process in a generalized Newtonian fluid at low Mach number; gives us the bubble radius in non-Newtonian fluid, Newtonian fluid, and viscoelastic fluid in the special cases of the flow index n; and also we get that the effect of magnetic field weakness from the behavior of gas bubble growth.</p>
引用
收藏
页码:485 / 491
页数:7
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