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Abu</given_name><surname>Zaytoon</surname><affiliation>Department of Mathematics, University of Petra, Amman, Jordan</affiliation></person_name><person_name sequence="additional" contributor_role="author"><given_name>S. Jayyousi</given_name><surname>Dajani</surname><affiliation>Department of Mathematics and Computer Science Lake Forest College, Lake Forest, IL 60045, USA</affiliation></person_name><person_name sequence="additional" contributor_role="author"><given_name>M.H.</given_name><surname>Hamdan</surname><affiliation>Department of Mathematics and Statistics University of New Brunswick , Saint John, N.B., Canada, E2L 4L5</affiliation></person_name></contributors><jats:abstract xmlns:jats="http://www.ncbi.nlm.nih.gov/JATS1"><jats:p>Equations governing the flow of a fluid with pressure-dependent viscosity through an isotropic porous structure are derived using the method of intrinsic volume averaging. Viscosity of the fluid is assumed to be a variable function of pressure, and the effects of the porous microstructure are modelled and included in the pressure-dependent drag coefficient. Five friction factors relating to five different microstructures are used in this work</jats:p></jats:abstract><publication_date media_type="online"><month>9</month><day>1</day><year>2021</year></publication_date><publication_date media_type="print"><month>9</month><day>1</day><year>2021</year></publication_date><pages><first_page>136</first_page><last_page>144</last_page></pages><publisher_item><item_number item_number_type="article_number">15</item_number></publisher_item><ai:program xmlns:ai="http://www.crossref.org/AccessIndicators.xsd" name="AccessIndicators"><ai:free_to_read start_date="2021-09-01"/><ai:license_ref applies_to="am" start_date="2021-09-01">https://www.naun.org/main/NAUN/mechanics/2021/a302003-015(2021).pdf</ai:license_ref></ai:program><archive_locations><archive name="Portico"/></archive_locations><doi_data><doi>10.46300/9104.2021.15.15</doi><resource>https://www.naun.org/main/NAUN/mechanics/2021/a302003-015(2021).pdf</resource></doi_data><citation_list><citation key="ref0"><doi>10.1615/jpormedia.v20.i3.60</doi><unstructured_citation>J. 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