Motivated by the remarkable usages of prescribed heat sources in the areas of solar energy and thermal engineering, we frame a mathematical model for unsteady flow of magnetized Eyring-Powell nanomaterial driven by a bi-directionally moveable surface with the nonlinearity of solar radiation. Basically, this newly stated approach is more genuine, where prescribed heat sources (PST and PHF) are used to maintain the surface temperature and quantities of thermal engineering interest are inspected in a more effective way. A proper combination of variables is adopted to convert the PDEs into ODEs and then numerically solved by utilizing Keller-Box approach. The foremost outcomes for the rate of heat and the rate of mass transferences are anticipated through various tables and graphs. It is observed through present investigation that escalating values of temperature controlled indices, solar radiation constraint and temperature ratio constraint enhance the rate of heat transference, whereas rising amount of thermophoresis constraint reduces the rate of mass transference. Finally, a comparison with the restricted case is also established to validate the whole parametric study.

基于太阳能和热工程领域中指定热源的大量使用，我们建立了一个数学模型，该模型用于由双向可移动表面驱动的磁化Eyring-Powell纳米材料的非稳态流动以及太阳辐射的非线性。基本上，这种新方法更为真实，其中使用规定的热源（PST和PHF）来维持表面温度，并以更有效的方式检查热工方面的数量。采用变量的适当组合将PDE转换为ODE，然后利用Keller-Box方法进行数值求解。可以通过各种表格和图表来预测热量和传质速率的最重要结果。通过目前的调查发现，温度控制指标，太阳辐射约束和温度比约束的值不断提高，可以提高传热速率，而热泳约束的升高量则会降低传质速率。最后，还建立了与受限案例的比较，以验证整个参数研究。