The use of helical coordinate systems

被引：10

作者：

Vachagina, E. K. ^{[1
]}

Kadyirov, A. I. ^{[1
]}

机构：

[1] Russia Acad Sci, Res Ctr Power Engn Problems, Kazan 420111, Russia

来源：

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS | 2014年 / 67卷 / 04期

关键词：

FINITE-ELEMENT-ANALYSIS; HEAT-TRANSFER; LAMINAR-FLOW; CIRCULAR TUBE; SCREW EXTRUDERS; POLYMER FLOW; PIPE; ENHANCEMENT; FRICTION; CHANNEL;

D O I：

10.1093/qjmam/hbu017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Various helical coordinate systems used for mathematical description of the heat transfer and hydrodynamics problems of fluid flow in the channels with helical symmetry (invariance with respect to shifts along the helical lines) which are widely used as intensifiers of convective heat transfer are discussed in the article. Impossibility of constructing the orthogonal helical coordinate system is proved. The most simple and convenient type of helical coordinate system is obtained.

引用

页码：553 / 566

页数：14

共 37 条

[1]

Alam M. M., 2006, INT J DYNAMICS FLUID, V2, P31

[2] Helical vortices in swirl flow [J].

Alekseenko, SV ;

Kuibin, PA ;

Okulov, VL ;

Shtork, SI .

JOURNAL OF FLUID MECHANICS, 1999, 382 :195-243

[3]

[Anonymous], 1953, METHODS THEORETICAL

[4] Heat transfer in a laminar flow in a helical pipe filled with a fluid saturated porous medium [J].

Cheng, LP ;

Kuznetsov, AV .

INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2005, 44 (08) :787-798

[5] DNS of flows with helical symmetry [J].

Delbende, Ivan ;

Rossi, Maurice ;

Daube, Olivier .

THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, 2012, 26 (1-4) :141-160

[6] GENERALIZED HELICAL BELTRAMI FLOWS IN HYDRODYNAMICS AND MAGNETOHYDRODYNAMICS [J].

DRITSCHEL, DG .

JOURNAL OF FLUID MECHANICS, 1991, 222 :525-541

[7] ON THE EFFECT OF TORSION ON A HELICAL PIPE-FLOW [J].

GERMANO, M .

JOURNAL OF FLUID MECHANICS, 1982, 125 (DEC) :1-8

[8] Heat transfer enhancement in circular tubes using helical swirl generator insert at the entrance [J].

Guel, H. ;

Evin, D. .

INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2007, 46 (12) :1297-1303

[9] A FINITE-ELEMENT ANALYSIS OF TE MODES IN TWISTED WAVE-GUIDES [J].

IGARASHI, H ;

HONMA, T .

IEEE TRANSACTIONS ON MAGNETICS, 1991, 27 (05) :4052-4055

[10] Studies on heat transfer and friction factor characteristics of thermosyphon solar water heating system with helical twisted tapes [J].

Jaisankar, S. ;

Radhakrishnan, T. K. ;

Sheeba, K. N. .

ENERGY, 2009, 34 (09) :1054-1064

← 1 2 3 4 →