Exploring the Influence of Induced Magnetic Fields and Double-Diffusive Convection on Carreau Nanofluid Flow through Diverse Geometries: A Comparative Study Using Numerical and ANN Approaches

Shaik Jakeer, Seethi Reddy Reddisekhar Reddy, Sathishkumar Veerappampalayam Easwaramoorthy, Hayath Thameem Basha and Jaehyuk Cho ()
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Shaik Jakeer: School of Technology, The Apollo University, Chittoor 517127, Andhra Pradesh, India
Seethi Reddy Reddisekhar Reddy: Department of Mathematics, Koneru Lakshmaiah Education Foundation, Bowrampet, Hyderabad 500043, Telangana, India
Sathishkumar Veerappampalayam Easwaramoorthy: Department of Software Engineering, Jeonbuk National University, Jeonju-si 54896, Republic of Korea
Hayath Thameem Basha: Department of Mathematical Sciences, Ulsan National Institute of Science and Technology, Ulsan 44919, Republic of Korea
Jaehyuk Cho: Department of Software Engineering, Jeonbuk National University, Jeonju-si 54896, Republic of Korea

Mathematics, 2023, vol. 11, issue 17, 1-29

Abstract: This current investigation aims to explore the significance of induced magnetic fields and double-diffusive convection in the radiative flow of Carreau nanofluid through three distinct geometries. To simplify the fluid transport equations, appropriate self-similarity variables were employed, converting them into ordinary differential equations. These equations were subsequently solved using the Runge–Kutta–Fehlberg (RKF) method. Through graphical representations like graphs and tables, the study demonstrates how various dynamic factors influence the fluid’s transport characteristics. Additionally, the artificial neural network (ANN) approach is considered an alternative method to handle fluid flow issues, significantly reducing processing time. In this study, a novel intelligent numerical computing approach was adopted, implementing a Levenberg–Marquardt algorithm-based MLP feed-forward back-propagation ANN. Data collection was conducted to evaluate, validate, and guide the artificial neural network model. Throughout all the investigated geometries, both velocity and induced magnetic profiles exhibit a declining trend for higher values of the magnetic parameter. An increase in the Dufour number corresponds to a rise in the nanofluid temperature. The concentration of nanofluid increases with higher values of the Soret number. Similarly, the nanofluid velocity increases with higher velocity slip parameter values, while the fluid temperature exhibits opposite behavior, decreasing with increasing velocity slip parameter values.

Keywords: Carreau nanofluid; induced magnetic field; wedge/plate/stagnation point; chemical reaction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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