Unsteady inclined stagnation point flow and thermal transmission of Maxwell fluid on a stretched/contracted plate with modified pressure field
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 24 June 2022
Issue publication date: 25 November 2022
Abstract
Purpose
The purpose of this study is to investigate the two-dimensional unsteady inclined stagnation point flow and thermal transmission of Maxwell fluid on oscillating stretched/contracted plates. First, based on the momentum equation at infinity, pressure field is modified by solving first-order differential equation. Meanwhile, thermal relaxation characteristic of fluid is described by Cattaneo–Christov thermal diffusion model.
Design/methodology/approach
Highly coupled model equations are transformed into simpler partial differential equations (PDE) via appropriate dimensionless variables. The approximate analytical solutions of unsteady inclined stagnation point flow on oscillating stretched and contracted plates are acquired by homotopy analysis method for the first time, to the best of the authors’ knowledge.
Findings
Results indicate that because of tensile state of plate, streamline near stagnation point disperses to both sides with stagnation point as center, while in the case of shrinking plate, streamline near stagnation point is concentrated near stagnation point. The enhancement of velocity ratio parameter leads to increasing of pressure variation rate, which promotes flow of fluid. In tensile state, surface friction coefficient on both sides of stagnation point has opposite symbols; when the plate is in shrinkage state, there is reflux near the right side of the stagnation point. In addition, although the addition of unsteady parameters and thermal relaxation parameters reduce heat transfer efficiency of fluid, heat transfer of fluid near the plate can also be enhanced by considering thermal relaxation effect when plate shrinks.
Originality/value
First, approximate analytical solutions of unsteady inclined stagnation point flow on oscillating stretched and contracted plates are researched, respectively. Second, pressure field is further modified. Finally, based on this, thermal relaxation characteristic of fluid is described by Cattaneo–Christov thermal diffusion model.
Keywords
Acknowledgements
This work is supported by the National Natural Science Foundation of China (No. 21878018, 12102032), the Joint Funding Project of Beijing Municipal Natural Science Foundation and Beijing Municipal Education Commission (No. KZ201810016018), the Research Ability Improvement Program for Young Teachers of BUCEA (No. X21027, X21030, and X21031) and the BUCEA Post Graduate Innovation Project (No. PG2021095, PG2021093).
Citation
Bai, Y., Tang, Q. and Zhang, Y. (2022), "Unsteady inclined stagnation point flow and thermal transmission of Maxwell fluid on a stretched/contracted plate with modified pressure field", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 32 No. 12, pp. 3824-3847. https://doi.org/10.1108/HFF-12-2021-0780
Publisher
:Emerald Publishing Limited
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