Fully developed laminar flow in a helical tube of finite pitch

Jacob H. Masliyah; K. Nandakumar

doi:10.1080/00986448408940154

Fully developed laminar flow in a helical tube of finite pitch

Jacob H. Masliyah, K. Nandakumar

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

An alternate development of a non-orthogonal coordinate system that is useful in studying fluid flow in helical tubes in the limit of large pitch is presented. It is based on a rotating Cartesian system of coordinates. An analytical solution is developed for the creeping flow limit in such tubes. Also the complete equations of motion are solved numerically for a set of parameter values (viz. pitch, radius of coil and aspect ratio) that yield an approximate square in the direction along the central helix. The ratio of the friction factor of a square helical tube to that of a square straight tube has been correlated through the use of the flow helical number.

Original language	English
Pages (from-to)	125-138
Number of pages	14
Journal	Chemical Engineering Communications
Volume	29
Issue number	1-6
DOIs	https://doi.org/10.1080/00986448408940154
State	Published - 1 Aug 1984
Externally published	Yes

Keywords

Curved tube
Extruder
Finite pitch
Flow
Helical

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10.1080/00986448408940154

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title = "Fully developed laminar flow in a helical tube of finite pitch",

abstract = "An alternate development of a non-orthogonal coordinate system that is useful in studying fluid flow in helical tubes in the limit of large pitch is presented. It is based on a rotating Cartesian system of coordinates. An analytical solution is developed for the creeping flow limit in such tubes. Also the complete equations of motion are solved numerically for a set of parameter values (viz. pitch, radius of coil and aspect ratio) that yield an approximate square in the direction along the central helix. The ratio of the friction factor of a square helical tube to that of a square straight tube has been correlated through the use of the flow helical number.",

keywords = "Curved tube, Extruder, Finite pitch, Flow, Helical",

author = "Masliyah, {Jacob H.} and K. Nandakumar",

note = "Funding Information: The authors are indebted to Natural Science and Engineering Council of Canada for financial support and to the University of Alberta for the use of the computer facilities.",

year = "1984",

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doi = "10.1080/00986448408940154",

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volume = "29",

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T1 - Fully developed laminar flow in a helical tube of finite pitch

AU - Masliyah, Jacob H.

AU - Nandakumar, K.

N1 - Funding Information: The authors are indebted to Natural Science and Engineering Council of Canada for financial support and to the University of Alberta for the use of the computer facilities.

PY - 1984/8/1

Y1 - 1984/8/1

N2 - An alternate development of a non-orthogonal coordinate system that is useful in studying fluid flow in helical tubes in the limit of large pitch is presented. It is based on a rotating Cartesian system of coordinates. An analytical solution is developed for the creeping flow limit in such tubes. Also the complete equations of motion are solved numerically for a set of parameter values (viz. pitch, radius of coil and aspect ratio) that yield an approximate square in the direction along the central helix. The ratio of the friction factor of a square helical tube to that of a square straight tube has been correlated through the use of the flow helical number.

AB - An alternate development of a non-orthogonal coordinate system that is useful in studying fluid flow in helical tubes in the limit of large pitch is presented. It is based on a rotating Cartesian system of coordinates. An analytical solution is developed for the creeping flow limit in such tubes. Also the complete equations of motion are solved numerically for a set of parameter values (viz. pitch, radius of coil and aspect ratio) that yield an approximate square in the direction along the central helix. The ratio of the friction factor of a square helical tube to that of a square straight tube has been correlated through the use of the flow helical number.

KW - Curved tube

KW - Extruder

KW - Finite pitch

KW - Flow

KW - Helical

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DO - 10.1080/00986448408940154

M3 - 文章

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VL - 29

SP - 125

EP - 138

JO - Chemical Engineering Communications

JF - Chemical Engineering Communications

IS - 1-6

ER -

Fully developed laminar flow in a helical tube of finite pitch

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Keywords

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