MHD flow of Williamson nanofluid using effective similarity variable considering viscous dissipation and thermal radiation over a non-linear stretching surface via OHAM by Muhammad Awais Sherani, Muhammad Sohail, Ibrahim Mahariq, Syed Tehseen Abbas

“…Concentration diminishes with the augmentation of Sc, Cr, and Nbt due to intensified Brownian motion and molecular interactions. It is observed that λ and M increase the value of skin friction, but −θ'(0), indicating heat transfer efficiency, increases with Pr, Le, and Nbt but declines with Rd and Nc. …”
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RETRACTED ARTICLE: Quadratic multiple regression model and spectral relaxation approach for carreau nanofluid inclined magnetized dipole along stagnation point geometry by Sayed M. El Din, Adil Darvesh, Assad Ayub, Tanveer Sajid, Wasim Jamshed, Mohamed R. Eid, Syed M. Hussain, Manuel Sánchez-Chero, Sheda Méndez Ancca, Johana Milagritos Ramírez Cerna, Carmen Luisa Aquije Dapozzo

“…In this study, a few other vital features are attached like the quadratic multiple regression model for Nusselt number evaluation, passive control of nanoparticles, viscus heating thermophoresis, Brownian motion, and mixed convection, etc. Velocity disbursement visibility is analyzed by placing an inclined magnetic field. …”
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Chemical reactions with the Casson nanofluid flow by the bioconvective behavior of microorganisms over a spinning disc by Prabhakar Sagadevan, Umadevi Raju, Meganathan Murugesan, Unai Fernandez-Gamiz, Samad Noeiaghdam

“…Notably, it highlights the distinction in the rate of the motile density number between reversible and irreversible flows concerning Brownian motion and Peclet number. The findings of the theoretical simulations have significant implications for biotechnology and thermal engineering, offering dynamic insights into practical applications within these fields.…”
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Mitigating CaCO3 crystal nucleation and growth through continuous ion displacement via alternating electric fields by Yiming Liu, Minhao Xiao, Xiaochuan Huang, Jane Park, Matthew E. Hoffman, Yuren Feng, Alicia Kyoungjin An, Qilin Li, Eric M. V. Hoek, David Jassby

“…We show that at relatively high AC frequencies, incomplete EDL formation leads to an alternating electric field that propagates far into the bulk solution, inducing rapid ion migration that overwhelms the Brownian motion of ions. Electrochemical characterization reveals EDL charging/discharging under AC conditions that greatly inhibits precipitation. …”
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Two-phase Agrawal hybrid nanofluid flow for thermal and solutal transport fluxes induced by a permeable stretching/shrinking disk by Hatem Gasmi, Muhammad Waqas, Umair Khan, Aurang Zaib, Anuar Ishak, Imtiaz Khan, Ali Elrashidi, Mohammed Zakarya

“…This research emphasizes the significance of hybrid nanofluids and investigates the effect of Brownian motion and thermophoretic phenomena on the characteristics of the Agrawal flow that tends to a stagnation point adjacent to a moving porous disk. …”
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The 𝑀-Wright Function in Time-Fractional Diffusion Processes: A Tutorial Survey by Francesco Mainardi, Antonio Mura, Gianni Pagnini

“…When these generalized diffusion processes are properly characterized with stationary increments, the 𝑀-Wright function is shown to play the same key role as the Gaussian density in the standard and fractional Brownian motions. Furthermore, these processes provide stochastic models suitable for describing phenomena of anomalous diffusion of both slow and fast types.…”
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Stochastic Neutron Population with Temperature Feedback Effects Using the Implicit Runge-Kutta Scheme by Daniel Suescún-Díaz

“…These equations are solved through the implicit Runge-Kutta scheme of order 1.5 with up to 500 Brownian motions. The computational cost can be reduced by using the analytical expression of the square root of the covariance matrix. …”
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