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Journals / International Journal of Aeronautics and Astronautics / 2023 / Cilt: 4 Sayı: 2

Fractional time derivative on fluid flow through horizontal microchannel filled with porous material

Gözenekli malzeme ile doldurulmuş yatay mikrokanaldan akışkan akışında kesirli zaman türevi

Muhammad Kaurangini(Aliko Dangote University of Science and Technology, Wudil)0000-0001-9144-9433
Isyaku Shu'aibu Abdulmumini(Yobe State University)0009-0000-2205-2117
Umar Muhammad Abubakar(Aliko Dangote University of Science and Technology, Wudil)0000-0003-3935-4829
Pages
53–61
Publication Date
2023-12-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The results were then simulated and presented as line graphs utilizing MATLAB (R2015b) to study the effects of the parameters involved in the fluid flow.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Fractional time derivative is considered in the description of the unsteady fluid flow through a horizontal microchannel filled with porous material.
📊
Key Findings & Data:The resultant governing equations were solved using the Laplace transform technique and the method of undetermined coefficient in the Laplace domain.
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Conclusion & Impact:The results were then simulated and presented as line graphs utilizing MATLAB (R2015b) to study the effects of the parameters involved in the fluid flow.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Darcy numarası · Kesirli zaman türevi · Knudsen numarası

Abstract

Fractional time derivative is considered in the description of the unsteady fluid flow through a horizontal microchannel filled with porous material. The resultant governing equations were solved using the Laplace transform technique and the method of undetermined coefficient in the Laplace domain. The Riemann-sum approximation approach was then utilized to obtain the solution in the time domain. The results were then simulated and presented as line graphs utilizing MATLAB (R2015b) to study the effects of the parameters involved in the fluid flow.

Özet

Kesirli zaman türevi, gözenekli malzeme ile doldurulmuş yatay bir mikrokanaldan geçen kararsız akışkan akışının tanımlanmasında dikkate alınmıştır. Elde edilen yönetici denklemler Laplace dönüşümü tekniği ve Laplace alanında belirlenmemiş katsayı yöntemi kullanılarak çözülmüştür. Riemann-toplam yaklaşımı daha sonra zaman alanında çözümü elde etmek için kullanılmıştır. Sonuçlar daha sonra simüle edilmiş ve akışkan akışına dahil olan parametrelerin etkilerini incelemek için MATLAB (R2015b) kullanılarak çizgi grafikler halinde sunulmuştur.

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Cite This Article

Kaurangini, M., Abdulmumini, I. S., Abubakar, U. M. (2023). Fractional time derivative on fluid flow through horizontal microchannel filled with porous material. International Journal of Aeronautics and Astronautics, Cilt: 4 Sayı: 2, 53–61. https://doi.org/10.55212/ijaa.1290060

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