Fluid and heat flow problem arising in the soup-canning industry

L. J. Cummings; J. Rubinstein

doi:10.1093/qjmam/53.4.583

Fluid and heat flow problem arising in the soup-canning industry

L. J. Cummings, J. Rubinstein

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

3 Scopus citations

Abstract

In this paper we consider the problem of heat flow at large Peclet number through viscous fluid (containing an air-bubble) in a rotating circular cylinder. Gravity is assumed to act in a plane perpendicular to the axis of the cylinder, but end effects (due to the finite length of the cylinder) are ignored. A one-dimensional diffusion equation for the transfer of heat between streamlines, valid for any steady flow with closed streamlines, is derived. The implications of our results for the UHT sterilization of canned liquid foods are discussed.

Original language	English (US)
Pages (from-to)	583-608
Number of pages	26
Journal	Quarterly Journal of Mechanics and Applied Mathematics
Volume	53
Issue number	4
DOIs	https://doi.org/10.1093/qjmam/53.4.583
State	Published - Nov 2000
Externally published	Yes

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

Access to Document

10.1093/qjmam/53.4.583

Cite this

@article{91ee46637ffa4d069108bc8dc085fe54,

title = "Fluid and heat flow problem arising in the soup-canning industry",

abstract = "In this paper we consider the problem of heat flow at large Peclet number through viscous fluid (containing an air-bubble) in a rotating circular cylinder. Gravity is assumed to act in a plane perpendicular to the axis of the cylinder, but end effects (due to the finite length of the cylinder) are ignored. A one-dimensional diffusion equation for the transfer of heat between streamlines, valid for any steady flow with closed streamlines, is derived. The implications of our results for the UHT sterilization of canned liquid foods are discussed.",

author = "Cummings, {L. J.} and J. Rubinstein",

note = "Funding Information: We are grateful to the late Professor J. Blech who pointed out the problem to us, and provided us with the data of Appendix C. We would also like to thank Professor Y. Pomeau and the referees for drawing references (7 to 10) to our attention. The first author acknowledges financial support from the Israel Council for Higher Education in the form of a Research Fellowship.",

year = "2000",

month = nov,

doi = "10.1093/qjmam/53.4.583",

language = "English (US)",

volume = "53",

pages = "583--608",

journal = "Quarterly Journal of Mechanics and Applied Mathematics",

issn = "0033-5614",

publisher = "Oxford University Press",

number = "4",

}

TY - JOUR

T1 - Fluid and heat flow problem arising in the soup-canning industry

AU - Cummings, L. J.

AU - Rubinstein, J.

N1 - Funding Information: We are grateful to the late Professor J. Blech who pointed out the problem to us, and provided us with the data of Appendix C. We would also like to thank Professor Y. Pomeau and the referees for drawing references (7 to 10) to our attention. The first author acknowledges financial support from the Israel Council for Higher Education in the form of a Research Fellowship.

PY - 2000/11

Y1 - 2000/11

N2 - In this paper we consider the problem of heat flow at large Peclet number through viscous fluid (containing an air-bubble) in a rotating circular cylinder. Gravity is assumed to act in a plane perpendicular to the axis of the cylinder, but end effects (due to the finite length of the cylinder) are ignored. A one-dimensional diffusion equation for the transfer of heat between streamlines, valid for any steady flow with closed streamlines, is derived. The implications of our results for the UHT sterilization of canned liquid foods are discussed.

AB - In this paper we consider the problem of heat flow at large Peclet number through viscous fluid (containing an air-bubble) in a rotating circular cylinder. Gravity is assumed to act in a plane perpendicular to the axis of the cylinder, but end effects (due to the finite length of the cylinder) are ignored. A one-dimensional diffusion equation for the transfer of heat between streamlines, valid for any steady flow with closed streamlines, is derived. The implications of our results for the UHT sterilization of canned liquid foods are discussed.

UR - http://www.scopus.com/inward/record.url?scp=0034323268&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034323268&partnerID=8YFLogxK

U2 - 10.1093/qjmam/53.4.583

DO - 10.1093/qjmam/53.4.583

M3 - Article

AN - SCOPUS:0034323268

SN - 0033-5614

VL - 53

SP - 583

EP - 608

JO - Quarterly Journal of Mechanics and Applied Mathematics

JF - Quarterly Journal of Mechanics and Applied Mathematics

IS - 4

ER -

Fluid and heat flow problem arising in the soup-canning industry

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this