Conservation of Buoyancy: Explained & Applied

  • Context: Undergrad 
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    Buoyancy Conservation
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Discussion Overview

The discussion revolves around the concept of conservation of buoyancy, exploring its relationship to the conservation of energy and seeking mathematical connections. Participants are particularly interested in applications related to fluid dynamics, specifically in the context of plumes and entrainment coefficients.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant inquires about how to derive the conservation of buoyancy from the conservation of energy, seeking mathematical passages to support this connection.
  • Another participant shares a link to a document related to an integral plume model, possibly as a resource for understanding buoyancy in fluid dynamics.
  • A participant expresses gratitude for the shared document and requests additional resources, indicating a focus on the dependence of the entrainment coefficient on background rotation.
  • There is a request for clarification and further questions regarding the presentation linked in the second post, suggesting ongoing exploration of the topic.

Areas of Agreement / Disagreement

The discussion does not appear to reach a consensus, as participants are exploring different aspects of buoyancy and its mathematical implications without resolving the initial inquiry or establishing a unified understanding.

Contextual Notes

Participants express varying levels of familiarity with the concepts, and there may be missing assumptions regarding the definitions of buoyancy and energy conservation in this context. The discussion also reflects a dependence on specific models and documents that may not be universally applicable.

Who May Find This Useful

Students and researchers interested in fluid dynamics, particularly those studying buoyancy, plumes, and related mathematical formulations.

Wall
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Hi, all and thanks for your time.

I did read that the conservation of Buoyancy is an "alternative" conservation of energy under some hypothesis.

Can someone explain how do I start from the conservation of energy and find the conservation of buoyancy? Are there some corresponding mathematical passages?

Sorry for my bad English and thanks again!
 
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http://www.ifh.uni-karlsruhe.de/lehre/envflu_III/Downloads/models/IntegralPlumeModel/EFMIII-IntegralPlumeModel.pdf
 
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Thank you SO much! Do you have other documents about this problem? I'm working on plumes and trying to understand the dependence of the entrainment coefficient from the background rotation (but I'm a poor student). I did another post about entrainment.

I'm also trying to understand how to define mathematically the entrainment coefficient.

Thanks a lot!
 
Also, can I ask you some questions about that presentation you linked to me? thanks a lot!
 

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