ON THE FULLY-DEVELOPED FLOW IN A CURVED PIPE AT LARGE DEAN NUMBER

被引：17

作者：

DENNIS, SCR ^{[1
]}

RILEY, N ^{[1
]}

机构：

[1] UNIV E ANGLIA,SCH MATH,NORWICH NR4 7TJ,NORFOLK,ENGLAND

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1991年 / 434卷 / 1891期

关键词：

D O I：

10.1098/rspa.1991.0107

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper we consider the asymptotic form, for large Dean number, of the solution which describes the fully developed laminar flow in a curved pipe of circular cross section. Although we have not been able to provide a complete solution we present strong evidence in favour of an asymptotic structure which is based upon an inviscid core flow enclosed by viscous boundary layers at the pipe wall.

引用

页码：473 / 478

页数：6

共 11 条

[1] STEADY MOTION OF A VISCOUS-FLUID IN A CURVED TUBE [J].

COLLINS, WM ;

DENNIS, SCR .

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1975, 28 (MAY) :133-156

[2]

Dean WR, 1928, PHILOS MAG, V5, P673

[3]

Dean WR, 1927, PHILOS MAG, V4, P208

[4] CALCULATION OF THE STEADY FLOW THROUGH A CURVED TUBE USING A NEW FINITE-DIFFERENCE METHOD [J].

DENNIS, SCR .

JOURNAL OF FLUID MECHANICS, 1980, 99 (AUG) :449-467

[5] DUAL SOLUTIONS FOR STEADY LAMINAR-FLOW THROUGH A CURVED TUBE [J].

DENNIS, SCR ;

NG, M .

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1982, 35 (AUG) :305-324

[6] LAMINAR FLOW IN CURVED PIPES [J].

ITO, H .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1969, 49 (11) :653-&

[7] ON THE PARADOX CONCERNING FRICTION FACTOR RATIO IN LAMINAR-FLOW IN COILS [J].

JAYANTI, S ;

HEWITT, GF .

PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1991, 432 (1885) :291-299

[8] PULSATILE FLOW IN CURVED PIPES [J].

SMITH, FT .

JOURNAL OF FLUID MECHANICS, 1975, 71 (SEP9) :15-42

[9] STEADY MOTION WITHIN A CURVED PIPE [J].

SMITH, FT .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1976, 347 (1650) :345-370

[10] EXTENDED STOKES SERIES - LAMINAR-FLOW THROUGH A LOOSELY COILED PIPE [J].

VANDYKE, M .

JOURNAL OF FLUID MECHANICS, 1978, 86 (MAY) :129-145

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