Abstract
This paper analyses the unsteady stagnation-point flow of Oldroyd-B-power-law nanofluid, which has the characteristics of viscoelasticity and shear thinning simultaneously. Modified Cattaneo–Christov heat flux model is used to describe thermal relaxation and thermal retardation in the heat transfer process. Meanwhile, different from the viscous dissipation of Newtonian fluid, based on the constitutive relation of Oldroyd-B–power-law fluid, the effect of relaxation–retardation viscous dissipation is studied. Additionally, 2 g/l xanthan gum solution is considered as the base fluid and copper oxide (CuO), aluminium oxide (Al\(_{2}\)O\(_{3})\) and silver (Ag) with 5% volume fraction are used as nanoparticles. Their thermal conductivities are calculated by experiments. Utilising similar transformations, partial differential equations are cast into ordinary differential equations. And non-linear analyses are done by taking advantage of the double-parameter transformation expansion method with the base function (DPTEM-BF) method. The outcome illustrates that the velocity holds an opposite trend for Deborah numbers for relaxation and retardation times. Furthermore, among the three nanofluids, Ag–xanthan gum nanofluid has the strongest ability to increase heat transfer, which can provide a theoretical basis for industrial processing.
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Acknowledgements
This work is supported by the National Key Research Program of China (No. 2016YFC0700601), the National Natural Science Foundation of China (No. 21878018), the Joint Funding Project of Beijing Municipal Natural Science Foundation and Beijing Municipal Education Commission (No. KZ201810016018), the BUCEA Post Graduate Innovation Project (2020) (No. PG2020096, No. PG2020097) and the Fundamental Research Funds for Beijing University of Civil Engineering and Architecture (X20142).
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Bai, Y., Fang, H. & Zhang, Y. Investigation of CuO, Al\(_{{2}}\)O\(_{{3}}\) and Ag nanomaterials on unsteady stagnation point flow of Oldroyd-B–power-law nanofluid with viscous dissipation. Pramana - J Phys 96, 61 (2022). https://doi.org/10.1007/s12043-021-02282-y
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DOI: https://doi.org/10.1007/s12043-021-02282-y
Keywords
- Oldroyd-B–power-law nanofluid
- CuO–xanthan gum nanofluid
- Al\(_{2}\)O\(_{3}\)–xanthan gum nanofluid
- Ag–xanthan gum nanofluid
- unsteady stagnation-point flow
- relaxation–retardation viscous dissipation
- modified Cattaneo–Christov heat flux model