Publication Information

{'id': 'https://openalex.org/W2977633499', 'doi': 'https://doi.org/10.1017/jfm.2019.553', 'title': 'The reciprocal theorem in fluid dynamics and transport phenomena', 'display_name': 'The reciprocal theorem in fluid dynamics and transport phenomena', 'publication_year': 2019, 'publication_date': '2019-09-30', 'ids': {'openalex': 'https://openalex.org/W2977633499', 'doi': 'https://doi.org/10.1017/jfm.2019.553', 'mag': '2977633499'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1017/jfm.2019.553', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S152000018', 'display_name': 'Journal of Fluid Mechanics', 'issn_l': '0022-1120', 'issn': ['0022-1120', '1469-7645'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310311721', 'host_organization_name': 'Cambridge University Press', 'host_organization_lineage': ['https://openalex.org/P4310311721', 'https://openalex.org/P4310311702'], 'host_organization_lineage_names': ['Cambridge University Press', 'University of Cambridge'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5032963628', 'display_name': 'Hassan Masoud', 'orcid': 'https://orcid.org/0000-0001-8932-3479'}, 'institutions': [{'id': 'https://openalex.org/I11957088', 'display_name': 'Michigan Technological University', 'ror': 'https://ror.org/0036rpn28', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I11957088']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Hassan Masoud', 'raw_affiliation_strings': ['Department of Mechanical Engineering–Engineering Mechanics, Michigan Technological University, Houghton, Michigan 49931, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mechanical Engineering–Engineering Mechanics, Michigan Technological University, Houghton, Michigan 49931, USA', 'institution_ids': ['https://openalex.org/I11957088']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5083316408', 'display_name': 'Howard A. Stone', 'orcid': 'https://orcid.org/0000-0002-9670-0639'}, 'institutions': [{'id': 'https://openalex.org/I20089843', 'display_name': 'Princeton University', 'ror': 'https://ror.org/00hx57361', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I20089843']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Howard A. Stone', 'raw_affiliation_strings': ['Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New\xa0Jersey 08544, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New\xa0Jersey 08544, USA', 'institution_ids': ['https://openalex.org/I20089843']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': ['https://openalex.org/A5032963628', 'https://openalex.org/A5083316408'], 'corresponding_institution_ids': ['https://openalex.org/I11957088', 'https://openalex.org/I20089843'], 'apc_list': None, 'apc_paid': None, 'fwci': 14.205, 'has_fulltext': False, 'cited_by_count': 130, 'citation_normalized_percentile': {'value': 0.999929, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '879', 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10360', 'display_name': 'Fluid Dynamics and Turbulent Flows', 'score': 0.9981, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10360', 'display_name': 'Fluid Dynamics and Turbulent Flows', 'score': 0.9981, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11751', 'display_name': 'Lattice Boltzmann Simulation Studies', 'score': 0.9971, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T12350', 'display_name': 'Particle Dynamics in Fluid Flows', 'score': 0.9965, 'subfield': {'id': 'https://openalex.org/subfields/2212', 'display_name': 'Ocean Engineering'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/reciprocal', 'display_name': 'Reciprocal', 'score': 0.5949724}, {'id': 'https://openalex.org/keywords/divergence-theorem', 'display_name': 'Divergence theorem', 'score': 0.5561588}], 'concepts': [{'id': 'https://openalex.org/C2777742833', 'wikidata': 'https://www.wikidata.org/wiki/Q1964083', 'display_name': 'Reciprocal', 'level': 2, 'score': 0.5949724}, {'id': 'https://openalex.org/C16030659', 'wikidata': 'https://www.wikidata.org/wiki/Q338886', 'display_name': 'Divergence theorem', 'level': 4, 'score': 0.5561588}, {'id': 'https://openalex.org/C2779343474', 'wikidata': 'https://www.wikidata.org/wiki/Q3109175', 'display_name': 'Context (archaeology)', 'level': 2, 'score': 0.43614423}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.43058687}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.39761746}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.2639335}, {'id': 'https://openalex.org/C206929604', 'wikidata': 'https://www.wikidata.org/wiki/Q530152', 'display_name': 'Picard–Lindelöf theorem', 'level': 3, 'score': 0.21664289}, {'id': 'https://openalex.org/C45962547', 'wikidata': 'https://www.wikidata.org/wiki/Q1422068', 'display_name': 'Fixed-point theorem', 'level': 2, 'score': 0.09221533}, {'id': 'https://openalex.org/C151730666', 'wikidata': 'https://www.wikidata.org/wiki/Q7205', 'display_name': 'Paleontology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1017/jfm.2019.553', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S152000018', 'display_name': 'Journal of Fluid Mechanics', 'issn_l': '0022-1120', 'issn': ['0022-1120', '1469-7645'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310311721', 'host_organization_name': 'Cambridge University Press', 'host_organization_lineage': ['https://openalex.org/P4310311721', 'https://openalex.org/P4310311702'], 'host_organization_lineage_names': ['Cambridge University Press', 'University of Cambridge'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'display_name': 'Life on land', 'id': 'https://metadata.un.org/sdg/15', 'score': 0.54}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 209, 'referenced_works': ['https://openalex.org/W1479932611', 'https://openalex.org/W1482065216', 'https://openalex.org/W1501504687', 'https://openalex.org/W150296703', 'https://openalex.org/W1533799577', 'https://openalex.org/W1539356813', 'https://openalex.org/W1548189833', 'https://openalex.org/W1554779959', 'https://openalex.org/W1577142055', 'https://openalex.org/W164043708', 'https://openalex.org/W1641311894', 'https://openalex.org/W1691290619', 'https://openalex.org/W1904485717', 'https://openalex.org/W1963956619', 'https://openalex.org/W1965471949', 'https://openalex.org/W1965536543', 'https://openalex.org/W1965828324', 'https://openalex.org/W1968801616', 'https://openalex.org/W1969287097', 'https://openalex.org/W1972464441', 'https://openalex.org/W1973382660', 'https://openalex.org/W1976525831', 'https://openalex.org/W1978142208', 'https://openalex.org/W1978282683', 'https://openalex.org/W1979256978', 'https://openalex.org/W1980669843', 'https://openalex.org/W1981294655', 'https://openalex.org/W1983030953', 'https://openalex.org/W1983049002', 'https://openalex.org/W1983711654', 'https://openalex.org/W1986372712', 'https://openalex.org/W1988881379', 'https://openalex.org/W1989717251', 'https://openalex.org/W1990851862', 'https://openalex.org/W1992567861', 'https://openalex.org/W1993409120', 'https://openalex.org/W1994253081', 'https://openalex.org/W1994607809', 'https://openalex.org/W1998801933', 'https://openalex.org/W1999383129', 'https://openalex.org/W2000108132', 'https://openalex.org/W2001962804', 'https://openalex.org/W2002116790', 'https://openalex.org/W2003206413', 'https://openalex.org/W2003516606', 'https://openalex.org/W2003594525', 'https://openalex.org/W2005722344', 'https://openalex.org/W2009541183', 'https://openalex.org/W2010945250', 'https://openalex.org/W2011053791', 'https://openalex.org/W2011288047', 'https://openalex.org/W2012209341', 'https://openalex.org/W2014063788', 'https://openalex.org/W2014094670', 'https://openalex.org/W2015733475', 'https://openalex.org/W2017062554', 'https://openalex.org/W2018501811', 'https://openalex.org/W2019154657', 'https://openalex.org/W2019256931', 'https://openalex.org/W2021895538', 'https://openalex.org/W2022523367', 'https://openalex.org/W2022685469', 'https://openalex.org/W2022728096', 'https://openalex.org/W2023145557', 'https://openalex.org/W2024651974', 'https://openalex.org/W2026163315', 'https://openalex.org/W2026213168', 'https://openalex.org/W2027348461', 'https://openalex.org/W2029210745', 'https://openalex.org/W2029723750', 'https://openalex.org/W2032342316', 'https://openalex.org/W2033305412', 'https://openalex.org/W2039747314', 'https://openalex.org/W2042025118', 'https://openalex.org/W2043979336', 'https://openalex.org/W2046407131', 'https://openalex.org/W2048571762', 'https://openalex.org/W2048597124', 'https://openalex.org/W2052716666', 'https://openalex.org/W2053140317', 'https://openalex.org/W2056144396', 'https://openalex.org/W2056169251', 'https://openalex.org/W2057197728', 'https://openalex.org/W2057609235', 'https://openalex.org/W2058791414', 'https://openalex.org/W2060584020', 'https://openalex.org/W2061301711', 'https://openalex.org/W2062070676', 'https://openalex.org/W2062752603', 'https://openalex.org/W2065917975', 'https://openalex.org/W2066149364', 'https://openalex.org/W2068673306', 'https://openalex.org/W2070062845', 'https://openalex.org/W2071921315', 'https://openalex.org/W2071970251', 'https://openalex.org/W2072170510', 'https://openalex.org/W2076978869', 'https://openalex.org/W2078299882', 'https://openalex.org/W2078628709', 'https://openalex.org/W2081268960', 'https://openalex.org/W2081508491', 'https://openalex.org/W2082212754', 'https://openalex.org/W2084206618', 'https://openalex.org/W2085919328', 'https://openalex.org/W2091781128', 'https://openalex.org/W2092410951', 'https://openalex.org/W2093087797', 'https://openalex.org/W2094990709', 'https://openalex.org/W2095068300', 'https://openalex.org/W2095143209', 'https://openalex.org/W2095261692', 'https://openalex.org/W2097164075', 'https://openalex.org/W2097596791', 'https://openalex.org/W2098489570', 'https://openalex.org/W2100094388', 'https://openalex.org/W2101925227', 'https://openalex.org/W2103940991', 'https://openalex.org/W2104741465', 'https://openalex.org/W2106445610', 'https://openalex.org/W2108087793', 'https://openalex.org/W2111120804', 'https://openalex.org/W2112465449', 'https://openalex.org/W2112483399', 'https://openalex.org/W2121553842', 'https://openalex.org/W2121978539', 'https://openalex.org/W2124268744', 'https://openalex.org/W2135360269', 'https://openalex.org/W2135466879', 'https://openalex.org/W2135626163', 'https://openalex.org/W2136949106', 'https://openalex.org/W2138667588', 'https://openalex.org/W2143117040', 'https://openalex.org/W2144312820', 'https://openalex.org/W2147138577', 'https://openalex.org/W2147489441', 'https://openalex.org/W2148752756', 'https://openalex.org/W2154007044', 'https://openalex.org/W2154382523', 'https://openalex.org/W2155491363', 'https://openalex.org/W2156680457', 'https://openalex.org/W2159360450', 'https://openalex.org/W2160411165', 'https://openalex.org/W2161289498', 'https://openalex.org/W2163599883', 'https://openalex.org/W2163886383', 'https://openalex.org/W2166628555', 'https://openalex.org/W2166845958', 'https://openalex.org/W2172218520', 'https://openalex.org/W219308262', 'https://openalex.org/W22275428', 'https://openalex.org/W2245437637', 'https://openalex.org/W2245797514', 'https://openalex.org/W2283919456', 'https://openalex.org/W2286403714', 'https://openalex.org/W2290264094', 'https://openalex.org/W2295169085', 'https://openalex.org/W2321736288', 'https://openalex.org/W2323854980', 'https://openalex.org/W2406687090', 'https://openalex.org/W2464786419', 'https://openalex.org/W2483047131', 'https://openalex.org/W2486051504', 'https://openalex.org/W2493362656', 'https://openalex.org/W2518385209', 'https://openalex.org/W2518998430', 'https://openalex.org/W2566182605', 'https://openalex.org/W2602401759', 'https://openalex.org/W2604856513', 'https://openalex.org/W265158842', 'https://openalex.org/W2734858651', 'https://openalex.org/W2754876277', 'https://openalex.org/W2800744676', 'https://openalex.org/W2910809536', 'https://openalex.org/W2916059794', 'https://openalex.org/W2921121641', 'https://openalex.org/W2951915413', 'https://openalex.org/W2962508455', 'https://openalex.org/W3009570291', 'https://openalex.org/W3098577378', 'https://openalex.org/W3102394245', 'https://openalex.org/W3102525388', 'https://openalex.org/W3102831173', 'https://openalex.org/W3102954936', 'https://openalex.org/W3103080099', 'https://openalex.org/W3103212563', 'https://openalex.org/W3103455235', 'https://openalex.org/W3105238731', 'https://openalex.org/W3105353258', 'https://openalex.org/W3105511263', 'https://openalex.org/W3105817884', 'https://openalex.org/W3140457870', 'https://openalex.org/W3188600887', 'https://openalex.org/W3192345623', 'https://openalex.org/W3205816701', 'https://openalex.org/W4210832181', 'https://openalex.org/W4241846002', 'https://openalex.org/W4242938247', 'https://openalex.org/W4244360209', 'https://openalex.org/W4246751244', 'https://openalex.org/W4247071050', 'https://openalex.org/W4248558041', 'https://openalex.org/W4249298487', 'https://openalex.org/W4250817735', 'https://openalex.org/W4252832327', 'https://openalex.org/W4376563256', 'https://openalex.org/W576767351', 'https://openalex.org/W636894024', 'https://openalex.org/W645667941', 'https://openalex.org/W96206960'], 'related_works': ['https://openalex.org/W4285058191', 'https://openalex.org/W4245490552', 'https://openalex.org/W2996284460', 'https://openalex.org/W2899084033', 'https://openalex.org/W2748952813', 'https://openalex.org/W2391753177', 'https://openalex.org/W2017889482', 'https://openalex.org/W2007980826', 'https://openalex.org/W1979597421', 'https://openalex.org/W1966306316'], 'abstract_inverted_index': {'In': [0, 172], 'the': [1, 15, 38, 42, 46, 58, 64, 67, 70, 73, 77, 81, 94, 99, 103, 106, 113, 116, 141, 151, 158, 164, 182, 187, 191, 202, 205, 214, 217, 221, 232, 253, 259], 'study': [2], 'of': [3, 11, 24, 45, 66, 76, 102, 105, 115, 132, 163, 186, 193, 204, 216, 223], 'fluid': [4], 'dynamics': [5], 'and': [6, 17, 21, 55, 139, 161, 184, 247, 274], 'transport': [7], 'phenomena,': [8], 'key': [9], 'quantities': [10, 32, 96], 'interest': [12], 'are': [13, 33, 166], 'often': [14], 'force': [16], 'torque': [18], 'on': [19, 63, 201], 'objects': [20], 'total': [22], 'rate': [23], 'heat/mass': [25, 248], 'transfer': [26], 'from': [27, 130], 'them.': [28], 'Conventionally,': [29], 'these': [30], 'integrated': [31, 95], 'determined': [34], 'by': [35, 213], 'first': [36], 'solving': [37], 'governing': [39], 'equations': [40, 79], 'for': [41, 83, 91, 168, 270], 'detailed': [43, 100], 'distribution': [44, 104], 'field': [47], 'variables': [48, 59], '(i.e.': [49], 'velocity,': [50], 'pressure,': [51], 'temperature,': [52], 'concentration,': [53], 'etc.)': [54], 'then': [56], 'integrating': [57], 'or': [60], 'their': [61], 'derivatives': [62], 'surface': [65], 'objects.': [68], 'On': [69], 'other': [71], 'hand,': [72], 'divergence': [74], 'form': [75], 'conservation': [78], 'opens': [80], 'door': [82], 'establishing': [84], 'integral': [85], 'identities': [86], 'that': [87, 157], 'can': [88, 235], 'be': [89, 145, 236], 'used': [90], 'directly': [92], 'calculating': [93], 'without': [97], 'requiring': [98], 'knowledge': [101], 'primary': [107], 'variables.': [108], 'This': [109], 'shortcut': [110], 'approach': [111], 'constitutes': [112], 'idea': [114], 'reciprocal': [117, 188, 233], 'theorem,': [118, 189], 'whose': [119], 'closest': [120], 'relative': [121], 'is': [122, 207], 'Green’s': [123], 'second': [124], 'identity,': [125], 'which': [126], 'readers': [127], 'may': [128, 143], 'recall': [129], 'studies': [131], 'partial': [133], 'differential': [134], 'equations.': [135], 'Despite': [136], 'its': [137, 170, 195], 'importance': [138], 'practicality,': [140], 'theorem': [142, 165, 206, 234], 'not': [144], 'so': [146], 'familiar': [147], 'to': [148, 181, 238, 257, 262], 'many': [149], 'in': [150, 220, 242], 'research': [152], 'community.': [153], 'Ironically,': [154], 'some': [155], 'believe': [156], 'extreme': [159], 'simplicity': [160], 'generality': [162], 'responsible': [167], 'suppressing': [169], 'application!': [171], 'this': [173], 'Perspectives': [174], 'piece,': [175], 'we': [176, 229, 255], 'provide': [177], 'a': [178, 198, 210], 'pedagogical': [179], 'introduction': [180], 'concept': [183], 'application': [185], 'with': [190], 'hope': [192], 'facilitating': [194], 'use.': [196], 'Specifically,': [197], 'brief': [199], 'history': [200], 'development': [203], 'given': [208], 'as': [209], 'background,': [211], 'followed': [212], 'discussion': [215], 'main': [218], 'ideas': [219], 'context': [222], 'elementary': [224], 'boundary-value': [225], 'problems.': [226], 'After': [227], 'that,': [228], 'demonstrate': [230], 'how': [231], 'utilized': [237], 'solve': [239], 'fundamental': [240], 'problems': [241], 'low-Reynolds-number': [243], 'hydrodynamics,': [244], 'aerodynamics,': [245], 'acoustics': [246], 'transfer,': [249], 'including': [250], 'convection.': [251], 'Throughout': [252], 'article,': [254], 'strive': [256], 'make': [258], 'materials': [260], 'accessible': [261], 'early': [263], 'career': [264], 'researchers': [265], 'while': [266], 'keeping': [267], 'it': [268], 'interesting': [269], 'more': [271], 'experienced': [272], 'scientists': [273], 'engineers.': [275]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2977633499', 'counts_by_year': [{'year': 2024, 'cited_by_count': 21}, {'year': 2023, 'cited_by_count': 24}, {'year': 2022, 'cited_by_count': 31}, {'year': 2021, 'cited_by_count': 33}, {'year': 2020, 'cited_by_count': 14}, {'year': 2019, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 1}], 'updated_date': '2024-12-11T17:18:13.783155', 'created_date': '2019-10-10'}