Fractional Differ-Integral Approach to Unsteady Filtration in Bi-Structured Porous Media
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F26%3A00564535" target="_blank" >RIV/60162694:G43__/26:00564535 - isvavai.cz</a>
Alternative codes found
RIV/60076658:12310/25:43909859
Result on the web
<a href="https://dl.begellhouse.com/journals/49dcde6d4c0809db,783e829308ea8755,01bc975268fc5902.html" target="_blank" >https://dl.begellhouse.com/journals/49dcde6d4c0809db,783e829308ea8755,01bc975268fc5902.html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1615/JPorMedia.2025056928" target="_blank" >10.1615/JPorMedia.2025056928</a>
Alternative languages
Result language
angličtina
Original language name
Fractional Differ-Integral Approach to Unsteady Filtration in Bi-Structured Porous Media
Original language description
This study applies the Kulish method to derive an analytical solution for unsteady filtration through a bistructured porous medium, where both flow and stagnation zones coexist. The resulting solution, expressed through fractional differintegral operators, relates local pressure values to the corresponding pressure gradients across the domain, including the boundaries. By comparing this solution to traditional stagnation-free filtration models, we demonstrate its broader applicability. The method offers a simplified approach to modeling filtration dynamics, validated by approximating boundary pressure evolution with an integral equation for filtration velocity. The findings are relevant to practical applications such as fluid filtration in engineering systems, hydrostructures, and bioreactors.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
20303 - Thermodynamics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Porous Media
ISSN
1091-028X
e-ISSN
1934-0508
Volume of the periodical
28
Issue of the periodical within the volume
11
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
29-39
UT code for WoS article
001531930500002
EID of the result in the Scopus database
2-s2.0-105009249729