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Investigation of Power-Law Fluid on a Decelerated Rotating Disk

Yıl 2024, Cilt: 7 Sayı: 3, 147 - 157, 30.09.2024

Serkan Ayan , Burhan Alveroğlu

https://doi.org/10.33401/fujma.1524621

Öz

This study explores the behaviour of power-law fluids over decelerating rotating disks. The disk's angular velocity decreases inversely with time, and the unsteady governing equations modeling this flow yield similarity transformations that depend on the nondimensional parameter $\hat{\alpha}=\frac{\alpha}{\Omega_0}$. These transformations, introduced here for the first time in the literature, allow for a comprehensive analysis of the fluid dynamics for shear-thinning fluids within the range $0.5 < n \leq 1$.

We examine the no-slip boundary condition alongside the dimensionless unsteadiness parameter, which quantifies the initial deceleration or acceleration of the disk. We present velocity profiles and the viscosity function for various values of $\hat{\alpha}$. The boundary layer problem, formulated through dimensionless momentum and continuity equations derived via similarity transformations, is solved using the bvp4c function in MATLAB. This numerical method, employing the 4th-order Runge-Kutta algorithm, provides approximate solutions for the $U$, $V$, and $W$ velocity profiles and the $\mu$ viscosity function, considering different deceleration parameters and the power-law index $n$.

Our findings contribute novel insights into the fluid dynamics of power-law fluids in decelerating rotational systems, offering potential applications in industrial and engineering processes where such conditions are prevalent.

Anahtar Kelimeler

decelerated rotating disk flows boundary layer analysis similarity solutions non-newtonian fluids

Kaynakça

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Yıl 2024, Cilt: 7 Sayı: 3, 147 - 157, 30.09.2024

Serkan Ayan , Burhan Alveroğlu

https://doi.org/10.33401/fujma.1524621

Öz

Kaynakça

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  • [26] A. Majeed, A. Zeeshan, T. Mahmood, S.U. Rahman and I. Khan, Impact of magnetic field and second-order slip flow of casson liquid with heat transfer subject to suction/injection and convective boundary condition, J. Magn., 24(1) (2019), 81-89. $\href{https://doi.org/10.4283/JMAG.2019.24.1.081}{\mbox{[CrossRef]}} \href{https://www.scopus.com/record/display.uri?eid=2-s2.0-85065860463&origin=resultslist&sort=plf-f&src=s&sid=fb8e6e8493cf4fdd5b1eac20a0b63a3f&sot=b&sdt=b&s=TITLE-ABS-KEY%28%22Impact+of+magnetic+field+and+second-order+slip+flow+of+casson+liquid+with+heat+transfer+subject+to+suction%2Finjection+and+convective+boundary+condition%22%29&sl=105&sessionSearchId=fb8e6e8493cf4fdd5b1eac20a0b63a3f&relpos=0}{\mbox{[Scopus]}} \href{https://www.webofscience.com/wos/woscc/full-record/WOS:000463846400013}{\mbox{[Web of Science]}} $
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Toplam 31 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Uygulamalı Matematik (Diğer)
Bölüm Makaleler
Yazarlar

Serkan Ayan 0000-0003-3041-2324

Burhan Alveroğlu 0000-0003-2699-9898

Erken Görünüm Tarihi 27 Eylül 2024
Yayımlanma Tarihi 30 Eylül 2024
Gönderilme Tarihi 30 Temmuz 2024
Kabul Tarihi 20 Eylül 2024
Yayımlandığı Sayı Yıl 2024 Cilt: 7 Sayı: 3

Kaynak Göster

APA Ayan, S., & Alveroğlu, B. (2024). Investigation of Power-Law Fluid on a Decelerated Rotating Disk. Fundamental Journal of Mathematics and Applications, 7(3), 147-157. https://doi.org/10.33401/fujma.1524621
AMA Ayan S, Alveroğlu B. Investigation of Power-Law Fluid on a Decelerated Rotating Disk. Fundam. J. Math. Appl. Eylül 2024;7(3):147-157. doi:10.33401/fujma.1524621
Chicago Ayan, Serkan, ve Burhan Alveroğlu. “Investigation of Power-Law Fluid on a Decelerated Rotating Disk”. Fundamental Journal of Mathematics and Applications 7, sy. 3 (Eylül 2024): 147-57. https://doi.org/10.33401/fujma.1524621.
EndNote Ayan S, Alveroğlu B (01 Eylül 2024) Investigation of Power-Law Fluid on a Decelerated Rotating Disk. Fundamental Journal of Mathematics and Applications 7 3 147–157.
IEEE S. Ayan ve B. Alveroğlu, “Investigation of Power-Law Fluid on a Decelerated Rotating Disk”, Fundam. J. Math. Appl., c. 7, sy. 3, ss. 147–157, 2024, doi: 10.33401/fujma.1524621.
ISNAD Ayan, Serkan - Alveroğlu, Burhan. “Investigation of Power-Law Fluid on a Decelerated Rotating Disk”. Fundamental Journal of Mathematics and Applications 7/3 (Eylül 2024), 147-157. https://doi.org/10.33401/fujma.1524621.
JAMA Ayan S, Alveroğlu B. Investigation of Power-Law Fluid on a Decelerated Rotating Disk. Fundam. J. Math. Appl. 2024;7:147–157.
MLA Ayan, Serkan ve Burhan Alveroğlu. “Investigation of Power-Law Fluid on a Decelerated Rotating Disk”. Fundamental Journal of Mathematics and Applications, c. 7, sy. 3, 2024, ss. 147-5, doi:10.33401/fujma.1524621.
Vancouver Ayan S, Alveroğlu B. Investigation of Power-Law Fluid on a Decelerated Rotating Disk. Fundam. J. Math. Appl. 2024;7(3):147-5.
 Kapak Resmi İndir

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