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Electromagnetohydrodynamic flow of fractional Maxwell fluids through a stenosed artery: Caputo fractional derivatives approach.

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Title: Electromagnetohydrodynamic flow of fractional Maxwell fluids through a stenosed artery: Caputo fractional derivatives approach.
Authors: Nazar, Tayyaba1 (AUTHOR) tayyabanazarctn@gmail.com, Shabbir, Muhammad Shahzad1 (AUTHOR)
Source: Journal of Biological Physics. 5/30/2025, Vol. 51 Issue 1, p1-23. 23p.
Subjects: Caputo fractional derivatives, Differential forms, Magnetic fluids, Acceleration (Mechanics), Conservation of mass
Abstract: This study investigates the electromagnetohydrodynamic (EMHD) flow of fractional Maxwell fluids through a stenosed artery, accounting for body acceleration. The flow is considered highly pulsatile. The mathematical model is formulated using differential forms of the conservation of mass and momentum. The governing equations are nondimensionalized and simplified by assuming mild stenosis. Through the application of the Caputo fractional derivative, the classical problem is transformed into its fractional equivalent. Solutions are derived using Laplace and finite Hankel transformations, with the inverse Laplace transform applied afterward. The findings show that blood velocity, flow rate, and shear stress fluctuate continuously over time due to the pulsatile flow and the effects of body acceleration. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Biological Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Electromagnetohydrodynamic flow of fractional Maxwell fluids through a stenosed artery: Caputo fractional derivatives approach.
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  Data: <searchLink fieldCode="AR" term="%22Nazar%2C+Tayyaba%22">Nazar, Tayyaba</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> tayyabanazarctn@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Shabbir%2C+Muhammad+Shahzad%22">Shabbir, Muhammad Shahzad</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Biological+Physics%22">Journal of Biological Physics</searchLink>. 5/30/2025, Vol. 51 Issue 1, p1-23. 23p.
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  Data: <searchLink fieldCode="DE" term="%22Caputo+fractional+derivatives%22">Caputo fractional derivatives</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+forms%22">Differential forms</searchLink><br /><searchLink fieldCode="DE" term="%22Magnetic+fluids%22">Magnetic fluids</searchLink><br /><searchLink fieldCode="DE" term="%22Acceleration+%28Mechanics%29%22">Acceleration (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Conservation+of+mass%22">Conservation of mass</searchLink>
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  Label: Abstract
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  Data: This study investigates the electromagnetohydrodynamic (EMHD) flow of fractional Maxwell fluids through a stenosed artery, accounting for body acceleration. The flow is considered highly pulsatile. The mathematical model is formulated using differential forms of the conservation of mass and momentum. The governing equations are nondimensionalized and simplified by assuming mild stenosis. Through the application of the Caputo fractional derivative, the classical problem is transformed into its fractional equivalent. Solutions are derived using Laplace and finite Hankel transformations, with the inverse Laplace transform applied afterward. The findings show that blood velocity, flow rate, and shear stress fluctuate continuously over time due to the pulsatile flow and the effects of body acceleration. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Biological Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s10867-025-09684-8
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        Text: English
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      – SubjectFull: Caputo fractional derivatives
        Type: general
      – SubjectFull: Differential forms
        Type: general
      – SubjectFull: Magnetic fluids
        Type: general
      – SubjectFull: Acceleration (Mechanics)
        Type: general
      – SubjectFull: Conservation of mass
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              Text: 5/30/2025
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