Journal
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
Volume 29, Issue 3, Pages 1039-1057Publisher
EMERALD GROUP PUBLISHING LTD
DOI: 10.1108/HFF-06-2018-0295
Keywords
Brownian motion; Stagnation-point flow; Cattaneo-Christov double-diffusion model; DPTEM-BF; Upper-convected Oldroyd-B nanofluid.
Funding
- Joint Funding Project of 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, X18248]
- BUCEA Post Graduate Innovation Project [PG2018096, PG2018098]
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Purpose The purpose of this paper is to investigate the two-dimensional stagnation-point flow, heat and mass transfer of an incompressible upper-convected Oldroyd-B MHD nanofluid over a stretching surface with convective heat transfer boundary condition in the presence of thermal radiation, Brownian motion, thermophoresis and chemical reaction. The process of heat and mass transfer based on Cattaneo-Christov double-diffusion model is studied, which can characterize the features of thermal and concentration relaxations factors. Design/methodology/approach The governing equations are developed and similarly transformed into a set of ordinary differential equations, which are solved by a newly approximate analytical method combining the double-parameter transformation expansion method with the base function method (DPTEM-BF). Findings An interesting phenomenon can be found that all the velocity profiles first enhance up to a maximal value and then gradually drop to the value of the stagnation parameter, which indicates the viscoelastic memory characteristic of Oldroyd-B fluid. Moreover, it is revealed that the thickness of the thermal and mass boundary layer is increasing with larger values of thermal and concentration relaxation parameters, which indicates that Cattaneo-Christov double-diffusion model restricts the heat and mass transfer comparing with classical Fourier's law and Fick's law. Originality/value This paper focuses on stagnation-point flow, heat and mass transfer combining the constitutive relation of upper-convected Oldroyd-B fluid and Cattaneo-Christov double diffusion model.
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