In this study, the time-dependent incompressible 3D solid–liquid Williamson non-Newtonian fluid for momentum and heat flow is evaluated. Flow is generated through a sheet in both x and y directions and effected by MHD, dust particles and nonlinear thermal radiations. Problem controlling partial differential equations are converted into ordinary differential equations by using appropriate transformations. The finalized mathematical model is evaluated by ‘bvp4c method’. Numerical results are compared with already published data. Non-dimensional parameters such as first- and second-ordered radiation parameter, the interaction parameter between fluid and particles, the unsteadiness parameter, the stretching parameter, and others are discussed that how they affect the velocity and heat distribution. Physical quantities nusselt number and skin friction are also analyzed numerically as well as graphically.

在这项研究中，评估了时间依赖的不可压缩3D固液Williamson非牛顿流体的动量和热流。流过x和y的图纸方向，并受MHD，灰尘颗粒和非线性热辐射的影响。通过使用适当的转换，将问题控制偏微分方程转换为常微分方程。通过“ bvp4c方法”评估最终的数学模型。将数值结果与已发布的数据进行比较。讨论了诸如一阶和二阶辐射参数，流体与粒子之间的相互作用参数，不稳定参数，拉伸参数等无量纲参数，它们如何影响速度和热量分布。物理量的贻贝数和皮肤摩擦也可以通过数字和图形方式进行分析。