Transient ?ow of magnetized Maxwell nano?uid: Buongiorno model perspective of Cattaneo-Christov theory

更新时间:2023-05-28

【摘要】The present research article is devoted to studying the characteristics of Cattaneo-Christov heat and mass ?uxes in the Maxwell nano?uid ?ow caused by a stretching sheet with the magnetic ?eld properties. The Maxwell nano?uid is investigated with the impact of the Lorentz force to examine the consequence of a magnetic ?eld on the?ow characteristics and the transport of energy. The heat and mass transport mechanisms in the current physical model are analyzed with the modi?ed versions of Fourier’s and Fick’s laws, respectively. Additionally, the well-known Buongiorno model for the nano?uids is ?rst introduced together with the Cattaneo-Christov heat and mass ?uxes during the transient motion of the Maxwell ?uid. The governing partial di?erential equations(PDEs) for the ?ow and energy transport phenomena are obtained by using the Maxwell model and the Cattaneo-Christov theory in addition to the laws of conservation.Appropriate transformations are used to convert the PDEs into a system of nonlinear ordinary di?erential equations(ODEs). The homotopic solution methodology is applied to the nonlinear di?erential system for an analytic solution. The results for the time relaxation parameter in the ?ow, thermal energy, and mass transport equations are discussed graphically. It is noted that higher values of the thermal and solutal relaxation time parameters in the Cattaneo-Christov heat and mass ?uxes decline the thermal and concentration ?elds of the nano?uid. Further, larger values of the thermophoretic force enhance the heat and mass transport in the nanoliquid. Moreover, the Brownian motion of the nanoparticles declines the concentration ?eld and increases the temperature ?eld.The validation of the results is assured with the help of numerical tabular data for the surface velocity gradient.

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