In this paper we study the one dimensional unsteady Poiseuille flow of an Herschel-Bulkley fluid driven by a prescribed pressure gradient. We formulate the mathematical problem that turns out to be a degenerate parabolic free boundary problem for the stress field. For such a problem we prove existence and uniqueness of a classical solution having a regular free boundary.
Non stationary channel flow of a Herschel-Bulkley fluid / Gianni R.; Fusi L.; Farina A.. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 510:(2022), pp. 0-0. [10.1016/j.jmaa.2022.126002]
Non stationary channel flow of a Herschel-Bulkley fluid
Gianni R.;Fusi L.
;Farina A.
2022
Abstract
In this paper we study the one dimensional unsteady Poiseuille flow of an Herschel-Bulkley fluid driven by a prescribed pressure gradient. We formulate the mathematical problem that turns out to be a degenerate parabolic free boundary problem for the stress field. For such a problem we prove existence and uniqueness of a classical solution having a regular free boundary.
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