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◆ Results in Surfaces and Interfaces2026-04-14· Flow (mathematics)

Mathematical analysis with application of novel machine intelligent expedition for stratified radiative-nanofluid flow across Riga surface

Muhammad Naeem, Mushtaq K. Abdalrahem, Amjad Ali Pasha, Seraj Alzhrani, Imran Abbasi, Mehboob Ali, Faisal J. Alzahrani, Waqar Azeem Khan

原始摘要(英文原文)· Original abstract
Inspired by many daily life applications, using 2D-Maxwell model along Boungiorno Nano-fluidic model, this study is presented to examine the transport dynamics of nanoparticles, accounting for thermophoresis and Brownian motion effects along with AI neural networks Levenberg Marquardt-Back Propagation Scheme. Non-Newtonian materials have captivated researchers due to their remarkable properties and widespread applications in industrial, aerospace, medical and environmental fields. The model of Maxwell nanofluid is known for being visco-elastic deals noteworthy insights into the non-Newtonian fluid’s behavior under complex flow circumstances. Due to frequent utilization in boundary layer control, aviation, and microfluidics, this work emphases on a variable thickness Riga-plate. Additionally, a chemically reactive fluid is investigated over a stretched surface. This work also explores heat production and absorption, thermal radiation, non-linear stratification, and stagnation point flow with implications for chemical reactors, energy systems, and pharmaceuticals. With zero mass flux, chemical reactions and situations provide a better understanding of reactive flow dynamics. For nanoparticle’s concentration, velocity, and temperature, the fundamental non-linear equations are included in the fluid model. Using boundary layer approximations, these equations are transmuted into dimensionless and non-linear ODEs. To address numerical problems, artificial intelligence neural networks and a special Levenberg Marquardt Backpropagation Scheme (BP-LMS) are utilized. The effectiveness of the projected NNs of AI using BP-LMS is evaluated using a variety of performance indicators, such as MSE, TS of Function, FS of Function, graphs for RA, and Error Histograms. Additionally, on profiles of Concentration, Velocity, and Temperature, the effects of key parameters are thoroughly investigated. The velocity profile showed rising behavior when the values of (the velocity ratio parameter) and (the modified Hartmann parameter) climbed. Temperature Profile decreases as (Prandtl Number) rises, but Temperature Profile increases as (Radiation Parameter) rises. The Concentration Profile has a diminishing influence with climbing values of (Lewis number) and (Parameter of chemical reaction).
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Mathematical analysis with application of novel machine intelligent expedition for stratified radiative-nanofluid flow across Riga surface — 科研速览 Science Skim