Journal
POWDER TECHNOLOGY
Volume 338, Issue -, Pages 975-982Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.powtec.2018.07.049
Keywords
Relaxation-retardation viscous dissipation; Relaxation chemical reaction; Cattaneo-Christov double diffusion; Oldroyd-B fluid; Double-parameter transformation expansion method
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Funding
- Beijing Municipal Natural Science Foundation [KZ201810016018]
- Beijing Municipal Education Commission [KZ201810016018]
- National Key Research Program of China [2016YFC0700601, 2016YFC0700603, 2016YFE0115500]
- National Natural Science Foundations of China [21576023]
- Fundamental Research Funds for Beijing University of Civil Engineering and Architecture [X18087, X18122, X18080]
- BUCEA Post Graduate Innovation Projects [PG2018096, PG2018098, PG2018100]
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This paper investigates upper-convected Oldroyd-B fluid thin film flow over an unsteady stretching sheet considering modified viscous dissipation and chemical reaction. With Cattaneo-Christov double diffusion theory, the governing equations are obtained. Meanwhile, unlike the viscous dissipation of Newtonian fluid, depending on the constitutive relation of Oldroyd-B fluid, the relaxation-retardation viscous dissipation is developed. Furthermore, the chemical reaction with relaxation-time characteristic has been discussed firstly. The governing equations are solved by a new efficient analytical method known as double-parameter transformation expansion method (DPTEM). Some interesting results can be revealed. Increasing unsteadiness parameter causes a rise in film thickness for beta(2) > beta(1), but a decline as beta(2) < beta(1). Moreover, the temperature enhances with rising values of retardation time when beta(2) < beta(1), while the contrary behaviors are observed when beta(2) > beta(1). Furthermore, unsteadiness parameter has the opposite influences on the concentration in the cases of beta(2) > beta(1) and beta(2) < beta(1). (C) 2018 Elsevier B.V. All rights reserved.
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