IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i5p1078-d1076008.html
   My bibliography  Save this article

A Numerical Framework for Entropy Generation Using Second-Order Nanofluid Thin Film Flow over an Expanding Sheet: Error Estimation and Stability Analysis

Author

Listed:
  • Zeeshan

    (Department of Mathematics and Statistics, Bacha Khan University, Charsadda 24420, Pakistan
    These authors contributed equally to this work and are co-first authors.)

  • Attaullah

    (Department of Mathematics, Abdul Wali Khan University, Mardan 25000, Pakistan)

  • N. Ameer Ahammad

    (Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia)

  • Nehad Ali Shah

    (Department of Mechanical Engineering, Sejong University, Seoul 05006, Republic of Korea
    These authors contributed equally to this work and are co-first authors.)

  • Jae Dong Chung

    (Department of Mechanical Engineering, Sejong University, Seoul 05006, Republic of Korea)

Abstract

Thin film flow (TFF) problems received a lot of attention in recent times. Some frequent applications of TFF include polymer and metal extraction, elastic sheet drawing, food striating, heat exchanges, and device fluidization. Further improvement and enhancement of TFF need to be examined due to its practical applications. In the current analysis, viscoelastic nanofluid thin film flow through the vertical expanding sheet in the presence of a magnetic field with entropy function has been examined. The governing equations are transformed to first-order ODEs through similarity transformation and then solved numerically by using RK4 along with the shooting technique and ND Solve method. The impact of embedded parameters is discussed using graphs and tables. Physical quantities of interest are also discussed in detail. For the numerical solution, the error estimation and the residue error are calculated for the stability and confirmation of the mathematical model.

Suggested Citation

  • Zeeshan & Attaullah & N. Ameer Ahammad & Nehad Ali Shah & Jae Dong Chung, 2023. "A Numerical Framework for Entropy Generation Using Second-Order Nanofluid Thin Film Flow over an Expanding Sheet: Error Estimation and Stability Analysis," Mathematics, MDPI, vol. 11(5), pages 1-26, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1078-:d:1076008
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/5/1078/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/5/1078/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Alsarraf, Jalal & Moradikazerouni, Alireza & Shahsavar, Amin & Afrand, Masoud & Salehipour, Hamzeh & Tran, Minh Duc, 2019. "Hydrothermal analysis of turbulent boehmite alumina nanofluid flow with different nanoparticle shapes in a minichannel heat exchanger using two-phase mixture model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 275-288.
    2. Zeeshan & Rasool Shah & Waris Khan & Essam R. El-Zahar & Se-Jin Yook & Nehad Ali Shah, 2022. "Mathematical Simulation of Heat Transfer in Thermally Magnetised Oldroyd-B Fluid in Sakiadis Rheology with a Heat Reservoir," Mathematics, MDPI, vol. 10(10), pages 1-21, May.
    3. Pachiyappan Ragupathi & N. Ameer Ahammad & Abderrahim Wakif & Nehad Ali Shah & Yongseok Jeon, 2022. "Exploration of Multiple Transfer Phenomena within Viscous Fluid Flows over a Curved Stretching Sheet in the Co-Existence of Gyrotactic Micro-Organisms and Tiny Particles," Mathematics, MDPI, vol. 10(21), pages 1-18, November.
    4. Poom Kumam & Zahir Shah & Abdullah Dawar & Haroon Ur Rasheed & Saeed Islam, 2019. "Entropy Generation in MHD Radiative Flow of CNTs Casson Nanofluid in Rotating Channels with Heat Source/Sink," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-14, March.
    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. Zeeshan & N. Ameer Ahammad & Nehad Ali Shah & Jae Dong Chung & Attaullah, 2023. "Role of Chemically Magnetized Nanofluid Flow for Energy Transition over a Porous Stretching Pipe with Heat Generation/Absorption and Its Stability," Mathematics, MDPI, vol. 11(8), pages 1-17, April.

    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. Ma, Yulin & Shahsavar, Amin & Moradi, Iman & Rostami, Sara & Moradikazerouni, Alireza & Yarmand, Hooman & Zulkifli, Nurin Wahidah Binti Mohd, 2021. "Using finite volume method for simulating the natural convective heat transfer of nano-fluid flow inside an inclined enclosure with conductive walls in the presence of a constant temperature heat sour," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    2. Zeeshan & N. Ameer Ahammad & Nehad Ali Shah & Jae Dong Chung, 2023. "Role of Nanofluid and Hybrid Nanofluid for Enhancing Thermal Conductivity towards Exponentially Stretching Curve with Modified Fourier Law Inspired by Melting Heat Effect," Mathematics, MDPI, vol. 11(5), pages 1-21, February.
    3. Moghadam, Iman Panahi & Afrand, Masoud & Hamad, Samir M. & Barzinjy, Azeez A. & Talebizadehsardari, Pouyan, 2020. "Curve-fitting on experimental data for predicting the thermal-conductivity of a new generated hybrid nanofluid of graphene oxide-titanium oxide/water," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).
    4. Chen, Zhixiong & Ashkezari, Abbas Zarenezhad & Tlili, Iskander, 2020. "Applying artificial neural network and curve fitting method to predict the viscosity of SAE50/MWCNTs-TiO2 hybrid nanolubricant," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    5. Shafee, Ahmad & Arabkoohsar, A. & Sheikholeslami, M. & Jafaryar, M. & Ayani, M. & Nguyen-Thoi, Trung & Basha, D. Baba & Tlili, I. & Li, Zhixiong, 2020. "Numerical simulation for turbulent flow in a tube with combined swirl flow device considering nanofluid exergy loss," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    6. Ruiqing Du & Dandan Jiang & Yong Wang, 2020. "Numerical Investigation of the Effect of Nanoparticle Diameter and Sphericity on the Thermal Performance of Geothermal Heat Exchanger Using Nanofluid as Heat Transfer Fluid," Energies, MDPI, vol. 13(7), pages 1-18, April.
    7. Khan, Kashif Ali & Seadawy, Aly R. & Raza, Nauman, 2022. "The homotopy simulation of MHD time dependent three dimensional shear thinning fluid flow over a stretching plate," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    8. Fatih Selimefendigil & Furkan Dilbaz & Hakan F. Öztop, 2023. "Combined Utilization of Cylinder and Different Shaped Alumina Nanoparticles in the Base Fluid for the Effective Cooling System Design of Lithium-Ion Battery Packs," Energies, MDPI, vol. 16(9), pages 1-17, May.
    9. Sumera Dero & Azizah Mohd Rohni & Azizan Saaban & Ilyas Khan, 2019. "Dual Solutions and Stability Analysis of Micropolar Nanofluid Flow with Slip Effect on Stretching/Shrinking Surfaces," Energies, MDPI, vol. 12(23), pages 1-20, November.
    10. Sarafraz, M.M. & Tlili, I. & Tian, Zhe & Bakouri, Mohsen & Safaei, Mohammad Reza, 2019. "Smart optimization of a thermosyphon heat pipe for an evacuated tube solar collector using response surface methodology (RSM)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(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:11:y:2023:i:5:p:1078-:d:1076008. 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.