Journal
MATHEMATICS
Volume 11, Issue 2, Pages -Publisher
MDPI
DOI: 10.3390/math11020342
Keywords
thermal energy; mixed convection; thermal radiation; nusselt number; artificial neural networking; casson fluid
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This study investigates the flow of a Casson fluid on an inclined, stretching cylindrical surface, taking into account various physical effects. The flow field is mathematically formulated and an artificial neural network model is used to predict the heat transfer coefficient. The results show that certain parameters enhance the heat transfer rate, while others have the opposite effect.
In this study, the Casson fluid flow through an inclined, stretching cylindrical surface is considered. The flow field is manifested with pertinent physical effects, namely heat generation, viscous dissipation, thermal radiations, stagnation point flow, variable thermal conductivity, a magnetic field, and mixed convection. In addition, the flow field is formulated mathematically. The shooting scheme is used to obtain the numerical data of the heat transfer coefficient at the cylindrical surface. Further, for comparative analysis, three different thermal flow regimes are considered. In order to obtain a better estimation of the heat transfer coefficient, three corresponding artificial neural networks (ANN) models were constructed by utilizing Tan-Sig and Purelin transfer functions. It was observed that the heat transfer rate exhibits an inciting nature for the Eckert and Prandtl numbers, curvature, and heat generation parameters, while the Casson fluid parameter, temperature-dependent thermal conductivity, and radiation parameter behave oppositely. The present ANN estimation will be helpful for studies related to thermal energy storage that have Nusselt number involvements.
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