{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,8]],"date-time":"2026-05-08T11:26:40Z","timestamp":1778239600352,"version":"3.51.4"},"reference-count":50,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2018,5,28]],"date-time":"2018-05-28T00:00:00Z","timestamp":1527465600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>This research paper investigates entropy generation analysis on two-dimensional nanofluid film flow of Eyring\u2013Powell fluid with heat amd mass transmission over an unsteady porous stretching sheet in the existence of uniform magnetic field (MHD). The flow of liquid films are taken under the impact of thermal radiation. The basic time dependent equations of heat transfer, momentum and mass transfer are modeled and converted to a system of differential equations by employing appropriate similarity transformation with unsteady dimensionless parameters. Entropy analysis is the main focus in this work and the impact of physical parameters on the entropy profile are discussed in detail. The influence of thermophoresis and Brownian motion has been taken in the nanofluids model. An optima approach has been applied to acquire the solution of modeled problem. The convergence of the HAM (Homotopy Analysis Method) has been presented numerically. The disparity of the Nusslet number, Skin friction, Sherwood number and their influence on the velocity, heat and concentration fields has been scrutinized. Moreover, for comprehension, the physical presentation of the embedded parameters are explored analytically for entropy generation and discussed.<\/jats:p>","DOI":"10.3390\/e20060412","type":"journal-article","created":{"date-parts":[[2018,5,29]],"date-time":"2018-05-29T02:58:18Z","timestamp":1527562698000},"page":"412","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":61,"title":["Entropy Generation on Nanofluid Thin Film Flow of Eyring\u2013Powell Fluid with Thermal Radiation and MHD Effect on an Unsteady Porous Stretching Sheet"],"prefix":"10.3390","volume":"20","author":[{"given":"Mohammad","family":"Ishaq","sequence":"first","affiliation":[{"name":"Depatment of Mathematics, Islamia College University, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gohar","family":"Ali","sequence":"additional","affiliation":[{"name":"Depatment of Mathematics, Islamia College University, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5539-4225","authenticated-orcid":false,"given":"Zahir","family":"Shah","sequence":"additional","affiliation":[{"name":"Depatment of Mathematics, Abdul Wali Khan University, Mardan 32300, Khyber Pakhtunkhwa, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5263-4871","authenticated-orcid":false,"given":"Saeed","family":"Islam","sequence":"additional","affiliation":[{"name":"Depatment of Mathematics, Abdul Wali Khan University, Mardan 32300, Khyber Pakhtunkhwa, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sher","family":"Muhammad","sequence":"additional","affiliation":[{"name":"Depatment of Mathematics, Islamia College University, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan"},{"name":"Cecos University of IT and Emerging Sciences Peshawar 25000, Khyber Pakhtunkhwa, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,5,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1007\/BF01587695","article-title":"Flow past a Stretching Plate","volume":"21","author":"Crane","year":"1970","journal-title":"J. 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