Nonlinear dynamics of two-phase flow in multiple parallel heated channels

Rizwan-uddin, J. Dorning

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Some basic aspects of bifurcation phenomena in two-phase flow and the related nonlinear dynamics of single and multiple parallel, uniformly and nonuniformly heated channels are studied. Specifically, the effects of several two-phase-flow system features on the stability of equilibria are determined. These features include: (1) unheated sections, or risers, at the tops of the heated channels; (2) a return feedback loop that relates the fluid properties at the channel inlets to those at the channel exits at an earlier time; and (3) the flow interaction among multiple parallel channels subjected to fixed total mass flow rate boundary conditions and alternatively to fixed external pressure drop boundary conditions. It is shown that the addition of unheated riser sections at the tops of the heated channels has a destabilizing effect, and that as the lengths of the risers at the tops of otherwise stable heated channels are increased, a supercritical Hopf bifurcation occurs resulting in stable limit cycle density-wave oscillations. It also is demonstrated that the addition of a simple return feedback loop is destabilizing, and that the complex interaction among multiple channels enables one unstable channel to drive the multiple channel system unstable.

Original languageEnglish (US)
Title of host publicationTwo-Phase Flow and Heat Transfer - 1992
PublisherPubl by ASME
Pages63-72
Number of pages10
Volume197
ISBN (Print)0791809234
StatePublished - 1992
Externally publishedYes
Event28th National Heat Transfer Conference and Exhibition - San Diego, CA, USA

Other

Other28th National Heat Transfer Conference and Exhibition
CitySan Diego, CA, USA
Period8/9/928/12/92

Fingerprint

Hydroxyprogesterones
Two phase flow
Cholestenones
Spontaneous Fractures
Feedback
Boundary conditions
Bibliography of Medicine
Closed Fractures
Flow interactions
5-Hydroxytryptophan
Amoxicillin
Acetylcholine
Pressure drop
Hopf bifurcation
Flow rate
Fluids

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering

Cite this

Rizwan-uddin, & Dorning, J. (1992). Nonlinear dynamics of two-phase flow in multiple parallel heated channels. In Two-Phase Flow and Heat Transfer - 1992 (Vol. 197, pp. 63-72). Publ by ASME.

Nonlinear dynamics of two-phase flow in multiple parallel heated channels. / Rizwan-uddin; Dorning, J.

Two-Phase Flow and Heat Transfer - 1992. Vol. 197 Publ by ASME, 1992. p. 63-72.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rizwan-uddin & Dorning, J 1992, Nonlinear dynamics of two-phase flow in multiple parallel heated channels. in Two-Phase Flow and Heat Transfer - 1992. vol. 197, Publ by ASME, pp. 63-72, 28th National Heat Transfer Conference and Exhibition, San Diego, CA, USA, 9-12 August.
Rizwan-uddin, Dorning J. Nonlinear dynamics of two-phase flow in multiple parallel heated channels. In Two-Phase Flow and Heat Transfer - 1992. Vol. 197. Publ by ASME. 1992. p. 63-72.

Rizwan-uddin; Dorning, J. / Nonlinear dynamics of two-phase flow in multiple parallel heated channels.

Two-Phase Flow and Heat Transfer - 1992. Vol. 197 Publ by ASME, 1992. p. 63-72.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

@inbook{6214fb0677c344ef970038160cdba60c,
title = "Nonlinear dynamics of two-phase flow in multiple parallel heated channels",
abstract = "Some basic aspects of bifurcation phenomena in two-phase flow and the related nonlinear dynamics of single and multiple parallel, uniformly and nonuniformly heated channels are studied. Specifically, the effects of several two-phase-flow system features on the stability of equilibria are determined. These features include: (1) unheated sections, or risers, at the tops of the heated channels; (2) a return feedback loop that relates the fluid properties at the channel inlets to those at the channel exits at an earlier time; and (3) the flow interaction among multiple parallel channels subjected to fixed total mass flow rate boundary conditions and alternatively to fixed external pressure drop boundary conditions. It is shown that the addition of unheated riser sections at the tops of the heated channels has a destabilizing effect, and that as the lengths of the risers at the tops of otherwise stable heated channels are increased, a supercritical Hopf bifurcation occurs resulting in stable limit cycle density-wave oscillations. It also is demonstrated that the addition of a simple return feedback loop is destabilizing, and that the complex interaction among multiple channels enables one unstable channel to drive the multiple channel system unstable.",
author = "Rizwan-uddin and J. Dorning",
year = "1992",
isbn = "0791809234",
volume = "197",
pages = "63--72",
booktitle = "Two-Phase Flow and Heat Transfer - 1992",
publisher = "Publ by ASME",

}

TY - CHAP

T1 - Nonlinear dynamics of two-phase flow in multiple parallel heated channels

AU - Rizwan-uddin,

AU - Dorning,J.

PY - 1992

Y1 - 1992

N2 - Some basic aspects of bifurcation phenomena in two-phase flow and the related nonlinear dynamics of single and multiple parallel, uniformly and nonuniformly heated channels are studied. Specifically, the effects of several two-phase-flow system features on the stability of equilibria are determined. These features include: (1) unheated sections, or risers, at the tops of the heated channels; (2) a return feedback loop that relates the fluid properties at the channel inlets to those at the channel exits at an earlier time; and (3) the flow interaction among multiple parallel channels subjected to fixed total mass flow rate boundary conditions and alternatively to fixed external pressure drop boundary conditions. It is shown that the addition of unheated riser sections at the tops of the heated channels has a destabilizing effect, and that as the lengths of the risers at the tops of otherwise stable heated channels are increased, a supercritical Hopf bifurcation occurs resulting in stable limit cycle density-wave oscillations. It also is demonstrated that the addition of a simple return feedback loop is destabilizing, and that the complex interaction among multiple channels enables one unstable channel to drive the multiple channel system unstable.

AB - Some basic aspects of bifurcation phenomena in two-phase flow and the related nonlinear dynamics of single and multiple parallel, uniformly and nonuniformly heated channels are studied. Specifically, the effects of several two-phase-flow system features on the stability of equilibria are determined. These features include: (1) unheated sections, or risers, at the tops of the heated channels; (2) a return feedback loop that relates the fluid properties at the channel inlets to those at the channel exits at an earlier time; and (3) the flow interaction among multiple parallel channels subjected to fixed total mass flow rate boundary conditions and alternatively to fixed external pressure drop boundary conditions. It is shown that the addition of unheated riser sections at the tops of the heated channels has a destabilizing effect, and that as the lengths of the risers at the tops of otherwise stable heated channels are increased, a supercritical Hopf bifurcation occurs resulting in stable limit cycle density-wave oscillations. It also is demonstrated that the addition of a simple return feedback loop is destabilizing, and that the complex interaction among multiple channels enables one unstable channel to drive the multiple channel system unstable.

UR - http://www.scopus.com/inward/record.url?scp=0027085284&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027085284&partnerID=8YFLogxK

M3 - Conference contribution

SN - 0791809234

VL - 197

SP - 63

EP - 72

BT - Two-Phase Flow and Heat Transfer - 1992

PB - Publ by ASME

ER -