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Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Heat Transfer Research
Импакт фактор: 1.199 5-летний Импакт фактор: 1.155 SJR: 0.267 SNIP: 0.503 CiteScore™: 1.4

ISSN Печать: 1064-2285
ISSN Онлайн: 2162-6561

Выпуски:
Том 51, 2020 Том 50, 2019 Том 49, 2018 Том 48, 2017 Том 47, 2016 Том 46, 2015 Том 45, 2014 Том 44, 2013 Том 43, 2012 Том 42, 2011 Том 41, 2010 Том 40, 2009 Том 39, 2008 Том 38, 2007 Том 37, 2006 Том 36, 2005 Том 35, 2004 Том 34, 2003 Том 33, 2002 Том 32, 2001 Том 31, 2000 Том 30, 1999 Том 29, 1998 Том 28, 1997

Heat Transfer Research

DOI: 10.1615/HeatTransRes.2017016039
pages 1047-1068

EFFECTS OF FRACTIONAL ORDER ON CONVECTIVE FLOW OF AN OLDROYD-B FLUID ALONG A MOVING POROUS HOT PLATE WITH THERMAL DIFFUSION

Constantin Fetecau
Academy of Romanian Scientists, Bucuresti 050094, Romania
Dumitru Vieru
Department of Theoretical Mechanics, Technical University of Iasi 700050, Romania
Corina Fetecau
Department of Theoretical Mechanics, Technical University of Iasi 700050, Romania
Itrat Abas Mirza
Abdus Salam School of Mathematical Sciences, GC University Lahore 54000, Pakistan

Краткое описание

Time-fractional convective flow over a dusty incompressible Oldroyd-B fluid over a moving infinite porous vertical plate is investigated in the presence of a heat source. At time t = 0+ the plate, whose temperature is time-variable, begins to move in its plane with a time-dependent velocity uwf(t). Exact solutions for dimensionless temperature and Nusselt number are determined using Laplace transforms. The influence of fractional parameter on the fluid temperature is graphically emphasized for small and large values of time. Its effects on the Nusselt number are also brought to light. The fluid velocity, as well as the dust particles velocity, are determined by combining the Laplace transform technique with the homotopy analysis method, and the Stehfest numerical algorithm is used for the inverse Laplace transform. As a check of the results, a closed form solution for the fluid velocity in the transformed domain is determined by both methods. Finally, the influence of fractional parameter and Prandtl number on the fluid and dust particles velocities is graphically underlined and discussed. Generally, in practical problems, these results can be used to determine suitable values for the fractional parameter so that the theoretical results to be in agreement with the experimental data.


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