Non-homogeneous two-component buongiorno model for nanofluid flow toward Howarth's wavy cylinder with activation energy

We use computational methods to examine the behavior of a nanofluid in three dimensions flows through a circular cylinder whose radius varies sinusoidally. The fundamental equations are derived and simplified to highly nonlinear ODEs by using similarity transformations. The bvp4c performs a numerical solution to the resultant nonlinear system. Sherwood number, Nusselt number and Skin-friction are also assessed because of their importance in the engineering field. Viscous dissipation's influence is crucial to the heating and cooling processes. The thermal boundary layer improves and the concentration boundary layer weakens as the Eckert number rises. In proportion to the magnitude of activation energy is augmented, while flow of wall mass is diminished. Besides, the results shows that the Nusselt number rises with progresses in the instability parameter and the Lewis number. An important point to note is that the Nusselt number decrements with increasing Eckert number and enhance with rising Brownian parameter. Moreover, when the nodal/saddle point parameter is increased, the longitudinal skin-friction coefficient decreases while the skin-friction coefficient in the vertical direction rises. The novelty of this study is related to: i) the considering the energy activation in the problem, ii) the analyzing in the form of unsteady, iii) the comprehensive solutions for magnetic effect. The results of this work can be applicable in industries dramatically where local cooling and heating through impingement jets are required in electronic devices, heat sinks, drying technologies, etc.

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