Use this URL to cite or link to this record in EThOS: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.522893
Title: The Onset Of Double-Diffusive Instability In Evolving Sidewall Heating
Author: Talabany, Juan Faiz
ISNI:       0000 0004 2691 146X
Awarding Body: City University
Current Institution: City, University of London
Date of Award: 2009
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Abstract:
A salt-stratified semi-infinite fluid bounded by a single sidewall when heated laterally could result in instabilities. We consider the linear stability of such a fluid for the two cases where the wall temperature is suddenly increased by a fixed amount and when heat results in an increase in wall temperature proportional to time. For the constant wall temperature case we reproduce and extend the re› sults obtained by Chen (1974). His focus was on finding a minimum heating below which instabilities did not grow, while we look at the onset of instabilities for a range of temperature differences and salinity gradients. We extend this work to cover the time-dependent wall temperature case and find the marginal stability boundary for all salinity gradients including regimes not accessible to the constant wall temperature case. These investigations are carried out numerically. As the basic flow is unsteady we have to look at what the criteria for instabilities should be. We use criteria based on the energy of the instabilities, as did Chen. However we found a significant degree of sensitivity to the random noise used to initiate the instabilities. The stability boundary we found seemed to have fewer sections than the five found by Kerr & Tang (1999) in the equivalent problem for a laterally heated salinity gradient in a slot, instead there were just three regions; the large salinity section, with a smooth transition to a mode concentrated around a wall jet, with a second smooth transition to a low salinity gradient region which is essentially a purely thermal mode of instability.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.522893  DOI: Not available
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