An engineering stability techinque for unsteady, two-phase flows with heat and mass transfer

This paper considers the stability of an unsteady, two-phase flow with heat and mass transfer. The model problem is motivated by loss of coolant accidents in nuclear power plants. For the example problem, two flow geometries are considered: inverted annular flow boiling and an annular mist flow. The model is comprised of coupled Mathieu equations so that stability can be determined using a Floquet analysis. The flow is found to be mathematically unstable to all perturbative wavenumbers, but for practical purposes there are regions of stability. Using the solution's growth behavior and doubling-time, the notion of practical stability, which is termed herein as "engineering stability," is quantified and a method is provided for application to other engineering stability problems.

© This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/

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Work Title An engineering stability techinque for unsteady, two-phase flows with heat and mass transfer
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Open Access
Creators
  1. Faith R. Beck
  2. Lokanath Mohanta
  3. Diane M. Henderson
  4. Fan-Bill Cheung
  5. Gita Talmage
License CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives)
Work Type Article
Publisher
  1. Elsevier BV
Publication Date September 2021
Publisher Identifier (DOI)
  1. 10.1016/j.ijmultiphaseflow.2021.103709
Source
  1. International Journal of Multiphase Flow
Deposited February 23, 2022

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  • Added SUBMITTED-apr21-IJMPF_Stability_revised_04172021-1.pdf
  • Added Creator Faith R. Beck
  • Added Creator Lokanath Mohanta
  • Added Creator Diane M. Henderson
  • Added Creator Fan-Bill Cheung
  • Added Creator Gita Talmage
  • Published
  • Updated
  • Updated
  • Updated