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Two-dimensional Darcy-Forchheimer flow of a dusty hybrid nanofluid over a stretching sheet with viscous dissipation

机译：用粘性耗散的拉伸薄膜粉尘杂交纳米流体的二维达西 - 特殊流动

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The main objective of the present examination is to design a stable mathematical model of a two-phase dusty hybrid nanofluid flow over a stretching sheet with heat transfer in a porous medium, and the Darcy-Forchheimer flow is taken into account with viscous dissipation and melting effect. The equations of motion are reduced to nonlinear ordinary differential equations by considering suitable similarity variables. These dimensionless expressions are solved by a well-known numerical technique known as Runge-Kutta-Fehlberg fourth-fifth order method. The behavioral study and analysis of the velocity and thermal profile in dual phases (fluid phase and dust phase) for diverse values of parameters are estimated using graphs and tables. The result outcome reveals that the velocity gradient declines in the fluid phase and increases in the dust phase for a rise in values of the velocity interaction parameter. Also, the velocity gradients of the both phases diminish for increasing values of the porosity parameter. Furthermore, it is determined that the increase in the value of melting parameter leads to a decline in the thermal gradient of both phases.
机译：本检查的主要目的是设计一种在多孔介质中传热的拉伸片上的两相粉尘杂交纳米流体流动稳定的数学模型，并且粘性耗散和熔化考虑了达西 - 前摩尔流动影响。通过考虑合适的相似变量，运动的方程减少到非线性常分方程。这些无量纲表达通过已知的数值技术求解，称为Runge-Kutta-Fehlberg第四 - 第五阶方法。使用曲线图和表估计，估计双阶段（流体相位和粉尘阶段）的行为研究和分析，用于各种参数的不同值。结果结果表明，流体相的速度梯度下降，并且在速度相互作用参数的值上升的灰尘相中增加。而且，两相的速度梯度减小了孔隙率参数的增加值。此外，确定熔融参数值的增加导致两个相的热梯度的下降。

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