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Analytical Treatment of Unsteady Fluid Flow of Nonhomogeneous Nanofluids among Two Infinite Parallel Surfaces: Collocation Method-Based Study

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  • Fengkai Gao

    (School of Electrical Engineering, Northeast Electric Power University, Jilin 132000, China
    Northeast Electric Power University and Nanchang University are in no particular order, and they are the co-first affiliation of this paper.)

  • Dongmin Yu

    (School of Information Engineering, Nanchang University, Nanchang 330027, China
    Northeast Electric Power University and Nanchang University are in no particular order, and they are the co-first affiliation of this paper.)

  • Qiang Sheng

    (School of Sciences, Northeast Electric Power University, Jilin 132000, China)

Abstract

Fluid flow and heat transfer of nanofluids have gained a lot of attention due to their wide application in industry. In this context, the appropriate solution to such phenomena is the study of this exciting and challenging field by the research community. This paper presents an extension of a well-known collocation method (CM) to investigate the accurate solutions to unsteady flow and heat transfer among two parallel plates. First, a mathematical model is developed for the discussed phenomena, then this model is converted into a non-dimensional form using viable similarity variables. In order to inspect the accurate solutions of the accomplished set of nonlinear ordinary differential equations, a collocation method is proposed and applied successfully. Various simulations are performed to analyze the behavior of non-dimensional velocity, temperature, and concentration profiles alongside the deviation of physical parameters present in the model, and then plotted graphically. It is important to mention that the velocity is enhanced due to the higher impact of the parameter Ha . The parameter N t caused an efficient enhancement in the temperature distribution while the parameters N t provided a drop in the temperature that actually affected the rate of heat transmission. Dual behavior of concentration is noted for parameter b, while it can be noted that mixed increasing behavior is available for the concentration against Le . The behavior of skin friction, the Nusselt number, and the Sherwood number were also investigated in addition to the physical parameters. It was observed that the Nusselt number increases with the enhancement of the effects of the magnetic field parameter and the Prandtl number. A comparative study shows that the proposed scheme is very effective and reliable in investigating the solutions of the discussed phenomena and can be extended to find the solutions to more nonlinear physical problems with complex geometry.

Suggested Citation

  • Fengkai Gao & Dongmin Yu & Qiang Sheng, 2022. "Analytical Treatment of Unsteady Fluid Flow of Nonhomogeneous Nanofluids among Two Infinite Parallel Surfaces: Collocation Method-Based Study," Mathematics, MDPI, vol. 10(9), pages 1-13, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1556-:d:808905
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    References listed on IDEAS

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    Cited by:

    1. Tingting Cai & Dongmin Yu & Huanan Liu & Fengkai Gao, 2022. "RETRACTED: Computational Analysis of Variational Inequalities Using Mean Extra-Gradient Approach," Mathematics, MDPI, vol. 10(13), pages 1-14, July.
    2. Xuan-Yi Xue & Si-Rui Wen & Jun-Yi Sun & Xiao-Ting He, 2022. "One- and Two-Dimensional Analytical Solutions of Thermal Stress for Bimodular Functionally Graded Beams under Arbitrary Temperature Rise Modes," Mathematics, MDPI, vol. 10(10), pages 1-22, May.

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