COMPUTER EXTENDED SERIES SOLUTION TO VISCOUS-FLOW BETWEEN ROTATING DISCS

被引:1
作者
BUJURKE, NM [1 ]
PAI, NP [1 ]
ACHAR, PK [1 ]
机构
[1] KARNATAK UNIV, DEPT MATH, DHARWAD 580003, KARNATAKA, INDIA
来源
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 1995年 / 105卷 / 03期
关键词
SERIES SOLUTION; PADE APPROXIMANTS; REVERSION OF SERIES; EULER TRANSFORMATION; ANALYTIC CONTINUATION; BROWNS METHOD;
D O I
10.1007/BF02837202
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The problem of injection (suction) of a viscous incompressible fluid through a rotating porous disc onto a rotating co-axial disc is studied using computer extended series. The universal coefficients in the low Reynolds number perturbation expansion are generated by delegating the routine complex algebra to computer. Various cases leading to specific types of flows are studied. Analytic continuation of the series solution yields results which agree favourably with pure numerical findings up to moderately large Reynolds number. The precise variation of lift as a function of R is established in each case.
引用
收藏
页码:353 / 369
页数:17
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