IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i9p1556-d808905.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/9/1556/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/9/1556/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hamid, Muhammad & Usman, Muhammad & Haq, Rizwan Ul & Tian, Zhenfu, 2021. "A spectral approach to analyze the nonlinear oscillatory fractional-order differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Li, Peidu & Gao, Xiaoqing & Li, Zhenchao & Zhou, Xiyin, 2022. "Effect of the temperature difference between land and lake on photovoltaic power generation," Renewable Energy, Elsevier, vol. 185(C), pages 86-95.
    3. Fan, Siyuan & Wang, Yu & Cao, Shengxian & Sun, Tianyi & Liu, Peng, 2021. "A novel method for analyzing the effect of dust accumulation on energy efficiency loss in photovoltaic (PV) system," Energy, Elsevier, vol. 234(C).
    4. Fan, Siyuan & Wang, Yu & Cao, Shengxian & Zhao, Bo & Sun, Tianyi & Liu, Peng, 2022. "A deep residual neural network identification method for uneven dust accumulation on photovoltaic (PV) panels," Energy, Elsevier, vol. 239(PD).
    5. Tesfaye Kebede & Eshetu Haile & Gurju Awgichew & Tadesse Walelign, 2020. "Heat and Mass Transfer in Unsteady Boundary Layer Flow of Williamson Nanofluids," Journal of Applied Mathematics, Hindawi, vol. 2020, pages 1-13, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fan, Siyuan & Wang, Xiao & Wang, Zun & Sun, Bo & Zhang, Zhenhai & Cao, Shengxian & Zhao, Bo & Wang, Yu, 2022. "A novel image enhancement algorithm to determine the dust level on photovoltaic (PV) panels," Renewable Energy, Elsevier, vol. 201(P1), pages 172-180.
    2. Dongmin Yu & Rijun Wang, 2022. "An Optimal Investigation of Convective Fluid Flow Suspended by Carbon Nanotubes and Thermal Radiation Impact," Mathematics, MDPI, vol. 10(9), pages 1-15, May.
    3. 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.
    4. Arturo Y. Jaen-Cuellar & David A. Elvira-Ortiz & Roque A. Osornio-Rios & Jose A. Antonino-Daviu, 2022. "Advances in Fault Condition Monitoring for Solar Photovoltaic and Wind Turbine Energy Generation: A Review," Energies, MDPI, vol. 15(15), pages 1-36, July.
    5. Cao, Yan & A. Dhahad, Hayder & Alsharif, Sameer & El-Shorbagy, M.A. & Sharma, Kamal & E. Anqi, Ali & Rashidi, Shima & A. Shamseldin, Mohamed & Shafay, Amel S., 2022. "Predication of the sensitivity of a novel daily triple-periodic solar-based electricity/hydrogen cogeneration system with storage units: Dual parametric analysis and NSGA-II optimization," Renewable Energy, Elsevier, vol. 192(C), pages 340-360.
    6. Tuba Tanyıldızı Ağır, 2024. "Prediction of Losses Due to Dust in PV Using Hybrid LSTM-KNN Algorithm: The Case of Saruhanlı," Sustainability, MDPI, vol. 16(9), pages 1-20, April.
    7. Cao, Yan & Dhahad, Hayder A. & Alsharif, Sameer & Sharma, Kamal & El.Shafy, Asem Saleh & Farhang, Babak & Mohammed, Adil Hussein, 2022. "Multi-objective optimizations and exergoeconomic analyses of a high-efficient bi-evaporator multigeneration system with freshwater unit," Renewable Energy, Elsevier, vol. 191(C), pages 699-714.
    8. Cui, Yiming & Liu, Mengmeng & Li, Wei & Lian, Jijian & Yao, Ye & Gao, Xifeng & Yu, Lina & Wang, Ting & Li, Yichu & Yin, Jilong, 2024. "An exploratory framework to identify dust on photovoltaic panels in offshore floating solar power stations," Energy, Elsevier, vol. 307(C).
    9. Fan, Siyuan & Wang, Yu & Cao, Shengxian & Zhao, Bo & Sun, Tianyi & Liu, Peng, 2022. "A deep residual neural network identification method for uneven dust accumulation on photovoltaic (PV) panels," Energy, Elsevier, vol. 239(PD).
    10. Li, Jiaojiao & Zoghi, Mohammad & Zhao, Linfeng, 2022. "Thermo-economic assessment and optimization of a geothermal-driven tri-generation system for power, cooling, and hydrogen production," Energy, Elsevier, vol. 244(PB).
    11. Zou, Dexuan & Gong, Dunwei & Ouyang, Haibin, 2023. "The dynamic economic emission dispatch of the combined heat and power system integrated with a wind farm and a photovoltaic plant," Applied Energy, Elsevier, vol. 351(C).
    12. Cheng Yang & Fuhao Sun & Yujie Zou & Zhipeng Lv & Liang Xue & Chao Jiang & Shuangyu Liu & Bochao Zhao & Haoyang Cui, 2024. "A Survey of Photovoltaic Panel Overlay and Fault Detection Methods," Energies, MDPI, vol. 17(4), pages 1-37, February.
    13. Yao, Wanxiang & Kong, Xiangru & Xu, Ai & Xu, Puyan & Wang, Yan & Gao, Weijun, 2023. "New models for the influence of rainwater on the performance of photovoltaic modules under different rainfall conditions," Renewable and Sustainable Energy Reviews, Elsevier, vol. 173(C).
    14. Lin, Xueshan & Huang, Tao & Bompard, Ettore & Wang, Beibei & Zheng, Yaxian, 2023. "Ex-ante market power evaluation and mitigation in day-ahead electricity market considering market maturity levels," Energy, Elsevier, vol. 278(C).
    15. Zhang, Zhonglian & Yang, Xiaohui & Yang, Li & Wang, Zhaojun & Huang, Zezhong & Wang, Xiaopeng & Mei, Linghao, 2023. "Optimal configuration of double carbon energy system considering climate change," Energy, Elsevier, vol. 283(C).
    16. Haobo Shi & Yanping Xu & Baodi Ding & Jinsong Zhou & Pei Zhang, 2023. "Long-Term Solar Power Time-Series Data Generation Method Based on Generative Adversarial Networks and Sunrise–Sunset Time Correction," Sustainability, MDPI, vol. 15(20), pages 1-19, October.
    17. Hamid, Muhammad & Usman, Muhammad & Yan, Yaping & Tian, Zhenfu, 2023. "A computational numerical algorithm for thermal characterization of fractional unsteady free convection flow in an open cavity," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    18. Fan, Siyuan & Wang, Xiao & Cao, Shengxian & Wang, Yu & Zhang, Yanhui & Liu, Bingzheng, 2022. "A novel model to determine the relationship between dust concentration and energy conversion efficiency of photovoltaic (PV) panels," Energy, Elsevier, vol. 252(C).
    19. Huang, Maoquan & Yang, Rui & Tang, G.H. & Pu, Jin Huan & Sun, Qie & Du, Mu, 2025. "Quantifying the effects of dust characteristics on the performance of radiative cooling PV systems," Applied Energy, Elsevier, vol. 377(PD).
    20. Chen, Xin & Zhou, Wenjia, 2023. "Performance evaluation of aquavoltaics in China: Retrospect and prospect," Renewable and Sustainable Energy Reviews, Elsevier, vol. 173(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1556-:d:808905. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.