The prime aim of this investigation is to discuss the two-dimensional steady analysis of hybrid nanoliquids in the existence of magnetohydrodynamics (MHD), thermally radiation and viscous dissipation effects over a linear stretchable sheet. Carbon nanotubes (SWCNT and MWCNT) with copper (Cu) are comprised in the propylene glycol-based fluid. The significance of propylene glycol-based fluid is affected under the exponential space-based heat source phenomenon. The remarkable role of propylene glycol on thermal transport of hybrid nanoliquids is influenced in the presence of temperature-dependent viscosity. The highly nonlinear governing partial differential structures are reduced to nonlinear ODEs by using suitable transformations. The transformed nonlinear ODEs of flow problem have been solved numerically by employing bvp4c (shooting) scheme with Lobatto-IIIA formula in MATLAB. The physical outcomes of involved parameters are obtained by utilizing the graphical and tabular data. The heat transport rate and the skin friction under the numerical data are also presented. From the results, we concluded that the velocity of fluid is declined for higher nanoparticles volume fraction. Velocity of fluid is declined with growing magnetic parameter. Furthermore, the temperature is upgraded with the growing thermal Biot number.

中文翻译：

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指数空基热源混合纳米流体磁化输运的数值模拟

本研究的主要目的是讨论在线性可拉伸片材上存在磁流体动力学 (MHD)、热辐射和粘性耗散效应时混合纳米液体的二维稳定分析。具有铜 (Cu) 的碳纳米管 (SWCNT 和 MWCNT) 包含在丙二醇基流体中。丙二醇基流体的意义在指数空基热源现象下受到影响。丙二醇对混合纳米液体热传输的显着作用受到温度依赖性粘度的影响。通过使用适当的变换，高度非线性的控制偏微分结构被简化为非线性 ODE。通过在MATLAB中采用bvp4c（射击）方案和Lobatto-IIIA公式，对流动问题的变换非线性ODE进行了数值求解。利用图形和表格数据获得所涉及参数的物理结果。还给出了数值数据下的传热速率和表皮摩擦。从结果中，我们得出结论，随着纳米粒子体积分数的增加，流体的速度会下降。流体的速度随着磁参数的增加而下降。此外，温度随着热比奥数的增加而升级。我们得出结论，随着纳米粒子体积分数的增加，流体的速度会下降。流体的速度随着磁参数的增加而下降。此外，温度随着热比奥数的增加而升级。我们得出结论，随着纳米粒子体积分数的增加，流体的速度会下降。流体的速度随着磁参数的增加而下降。此外，温度随着热比奥数的增加而升级。