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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
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
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    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.

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