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An Optimal Investigation of Convective Fluid Flow Suspended by Carbon Nanotubes and Thermal Radiation Impact

Dongmin Yu, Rijun Wang

2022Mathematics67 citationsDOIOpen Access PDF

Abstract

This study is focused towards analyzing the heat and flow movement among two stretching rotating disks inside water-based carbon nanotubes. The idea of thermal boundary conditions and heat convection is used and the system is expressed in partial differential equations. Using the similarity techniques, the model is successfully converted to a nonlinear ordinary differential equation. A familiar collocation method is used to simulate the outcomes of the governed system while the method is validated through a set of tables and assessed with existing literature. The physical aspects of the proposed model have been studied in detail and assisted via graphical diagrams against the variation of different parameters. It is found that the multiple-wall carbon nanotubes intensify the system quickly and improve the rate of heat transmission. It is also noted that the proposed method is in excellent in agreement with already published studies and can be extended for other physical problems. Moreover, when values of Re parameter increase, a drop is noted in the magnitude of radial velocity near the faces of the disks. It is very clear from the tabular comparison that collocation scheme is in good agreement with already published studies and homotopic solutions.

Topics & Concepts

Partial differential equationOrdinary differential equationMechanicsThermal radiationFlow (mathematics)Carbon nanotubeThermalCollocation methodBoundary value problemConvectionCollocation (remote sensing)Nonlinear systemSimilarity (geometry)Heat transferConvective heat transferMaterials scienceComputer scienceMathematicsThermodynamicsDifferential equationMathematical analysisPhysicsNanotechnologyMachine learningQuantum mechanicsImage (mathematics)Artificial intelligenceNanofluid Flow and Heat TransferHeat Transfer and OptimizationHeat Transfer Mechanisms