On the Role of Chapman's Hydrostatic Solar Wind Mechanism in Parker's Hydrodynamic Solar Wind Model

Astrophysics > Solar and Stellar Astrophysics [Submitted on 6 Jan 2025 (v1), last revised 30 May 2026 (this version, v3)] Title:On the Role of Chapman's Hydrostatic Solar Wind Mechanism in Parker's Hydrodynamic Solar Wind Model View PDF HTML (experimental)Abstract:The role of Chapman's hydrostatic solar wind mechanism (resulting from a hydrostatic force balance condition) in Parker's hydrodynamic solar wind model is investigated by invoking the de Laval nozzle analogy for the production of flow acceleration in the latter model. The action of solar gravity in Parker's hydrodynamic solar wind model is shown to be geometrically equivalent to a enormalization of the actual wind channel area and the renormalization factor is exactly Chapman's hydrostatic radial density profile, which is totally predicated on the hydrostatic force balance condition. This result appears to be traceable to the encapsulation of the solar gravity effects in Parker's hydrodynamic solar wind model by Chapman's hydrostatic solar wind mechanism, even beyond the coronal base. Furthermore, this result is shown to be robust by considering both isothermal gas and polytropic gas models as well as an n-dimensional (n= 1, 2, 3) underlying space for the solar wind. Submission history From: Bhimsen Shivamoggi [view email][v1] Mon, 6 Jan 2025 03:01:59 UTC (6 KB) [v2] Fri, 19 Dec 2025 20:14:29 UTC (61 KB) [v3] Sat, 30 May 2026 01:35:02 UTC (63 KB) Current browse context: astro-ph.SR Change to browse by: References & Citations Loading... Bibliographic and Citation Tools Bibliographic Explorer (What is the Explorer?) Connected Papers (What is Connected Papers?) Litmaps (What is Litmaps?) scite Smart Citations (What are Smart Citations?) Code, Data and Media Associated with this Article alphaXiv (What is alphaXiv?) CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub (What is DagsHub?) Gotit.pub (What is GotitPub?) Hugging Face (What is Huggingface?) ScienceCast (What is ScienceCast?) Demos Recommenders and Search Tools Influence Flower (What are Influence Flowers?) CORE Recommender (What is CORE?) IArxiv Recommender (What is IArxiv?) arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.