Unsteady Slip Flow and Heat Transfer Analysis of Oldroyd-B Fluid Over the Stretching Wedge

BAI Yu; FANG Huiling; ZHANG Yan

doi:10.21656/1000-0887.420197

Volume 43 Issue 3

Mar. 2022

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BAI Yu, FANG Huiling, ZHANG Yan. Unsteady Slip Flow and Heat Transfer Analysis of Oldroyd-B Fluid Over the Stretching Wedge[J]. Applied Mathematics and Mechanics, 2022, 43(3): 272-280. doi: 10.21656/1000-0887.420197

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Unsteady Slip Flow and Heat Transfer Analysis of Oldroyd-B Fluid Over the Stretching Wedge

doi: 10.21656/1000-0887.420197

BAI Yu^{1, 2
,
,},
FANG Huiling^{1, 2
,},
ZHANG Yan^{1, 2
,}

1.
School of Science, Beijing University of Civil Engineering and Architecture, Beijing 102616, P.R.China
2.
Beijing Key Laboratory of Functional Materials for Building Structure and Environment Remediation, Beijing 102616, P.R.China

Received Date: 2021-07-12
Accepted Date: 2021-07-12
Rev Recd Date: 2021-09-26

Available Online: 2022-01-28

Publish Date: 2022-03-08

Abstract

Abstract

The unsteady flow of the upper-convected Oldroyd-B fluid over the heated wedge in the presence of velocity slip was discussed. The process of heat transfer and the effect of the thermal retardation time on heat transfer were simulated with the relaxation-retardation heat flux model. The buoyancy, the thermal radiation and the convective heat transfer boundary condition were considered to further elucidate the flow and heat transfer characteristics. The homotopy analysis method was used to obtain the approximate analytical solutions to ordinary differential equations. It is found that the magnification of the slip parameter can promote the flow of fluid, and the fluid temperature rises with the thermal radiation parameter. In addition, the temperature field shows opposite trends in the thermal relaxation time and the thermal retardation time.
- Oldroyd-B fluid,
- wedge,
- unsteady flow,
- velocity slip,
- thermal radiation,
- relaxation-retardation heat flux model

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References(18)

References

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