Fractional order transient free-convection flow in a channel: application of the optimal homotopy asymptotic method

• Autorzy: Irshad Sadia , Jahan Shah , Jan Ahmed Zubair , Kędzia Krzysztof , Majeed Afraz Hussain , Khan Fiza

Identyfikatory

DOI

10.24425/ather.2024.150860

• Języki publikacji: EN

Abstrakty

EN

In this study, a new physical model has been created to look into the behaviour of transient incompressible unsteady flow between two infinite parallel plates exposed to high temperatures. The model takes into consideration thermal radiation flux, chemical reaction, and mass diffusion at the boundaries. To handle non-integer behaviour, the model incorporates the Caputo notion of time fractional derivative. To solve this complex physical fractional order fluid model, a novel optimal homotopy asymptotic method and semi-analytical methodology is extended and utilized successfully. This method provides a third-order highly approximate solution, offering valuable insights into the behaviour within the system. The study comprehensively examines the effects of varied flow characteristics and fractional order on the dynamics of the system. The results are visually presented through graphs, offering a clear understanding of the system's response under different conditions. The effectiveness and ease of use of the optimal homotopy asymptotic method make it a valuable tool for solving boundary value fractional order problems encountered in scientific fields. The developed physical model and its fractional extension contribute significantly to the understanding of unsteady flow phenomena with thermal and chemical effects, advancing knowledge in this area of research.

Słowa kluczowe

EN

parallel plates; flow; fractional model; Caputo derivative; optimal homotopy asymptotic method

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 2024
• Tom: Vol. 45, no. 2
• Strony: 139--144
• Opis fizyczny: Bibliogr. 20 poz., rys.

Twórcy

autor

Irshad Sadia

• Institute of Mathematics, Khawaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Punjab 64200, Pakistan

autor

Jahan Shah

• Institute of Mathematics, Khawaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Punjab 64200, Pakistan

autor

Jan Ahmed Zubair

• Faculty of Mechanical Engineering, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland

autor

Kędzia Krzysztof

• Faculty of Mechanical Engineering, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland

autor

Majeed Afraz Hussain

• School of Energy and Power Engineering, Jiangsu University, Zhenjiang 212013, China

autor

Khan Fiza

• Department of Mathematics, Air University, PAF Complex E-9, Islamabad 44000, Pakistan

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).