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ISSN: 2475-4811 (print)
ISSN: 2475-482X (online)
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn

Analytical Approximations for Magnetohydrodynamic Boundary Layer Flow of Williamson Nanofluid

Journal of Vibration Testing and System Dynamics 10(1) (2026) 1--12 | DOI:10.5890/JVTSD.2026.03.001

V. Ananthaswamy$^1$, M. Kalaivani$^2$, S. Sivasankari$^2$

$^1$ Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

$^2$ Research Scholar, Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

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Abstract

A study of analytical methods is conducted in order to attain an approximate solution for the Magnetohydrodynamic Williamson nanofluid border layer flow via heat and mass transmission with velocity, thermal slip effects and radiation in a porous medium. The governing PDEs are converted into ODEs by utilizing similarity transformation. The semi-analytical expressions for the corresponding velocity, concentration and temperature gradients in non-dimensional form are attained via the Modified Homotopy Analysis Methodology (MHAM). A very excellent fit can be achieved when the analytical findings are compared to the numerical response. Numerous implications of the physical components occurred in the issue are graphically demonstrated. The factor of local skin friction, the Sherwood number, and the Nusselt number are all determined and highlighted in the table. Furthermore, the results exhibit how quickly and effectively the approach converges.

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