Unsteady heat transfer and entropy generation study on viscoelastic fluid coupled with the induced magnetic field over a stretching sheet using a numerical approach is presented in the current work. The induced magnetic field considered here is presumed to be formed with the movement of an electrically conducting fluid in the considered system. Viscoelastic fluid considered here is incompressible in nature and obeys the Maxwell model. The time-dependent partial differential equations of the considered model are modified into the non-linear ordinary differential equations with the use of appropriate similarity variables. The fourth-order Runge–Kutta method along with the shooting technique is adopted to obtain the solutions. The entropy generation analysis on the present two-dimensional geometry considering Maxwell fluid with the induced magnetic field over a stretching surface has also been carried out. Effect of unsteadiness parameter, Maxwell parameter, magnetic field parameter, and reciprocal magnetic field parameter is obtained. The velocity profile increases for the steady situation but for the unsteady case, the velocity distribution decelerated by magnetic parameter. The fluid velocity and induced magnetic distribution are decelerated monotonically with viscoelastic parameter but thermal boundary layer width accelerates for both steady and unsteady cases. Entropy generation is found to be increasing for group parameters such as Br/Ω and Re.

当前工作中，采用数值方法研究了粘弹性流体与拉伸板上感应磁场耦合的非稳态传热和熵产生问题。假定此处考虑的感应磁场是由所考虑的系统中导电流体的运动形成的。这里考虑的粘弹性流体本质上是不可压缩的，服从麦克斯韦模型。使用适当的相似性变量，将所考虑模型的时间相关偏微分方程修改为非线性常微分方程。采用四阶Runge–Kutta方法以及射击技术来获得解。还已经对考虑了麦克斯韦流体并且在拉伸表面上具有感应磁场的当前二维几何结构进行了熵产生分析。获得了不稳定参数，麦克斯韦参数，磁场参数和倒数磁场参数的影响。对于稳定情况，速度分布会增加，但对于不稳定情况，速度分布会受磁参数的影响而减速。流体速度和感应磁分布随粘弹性参数单调减速，但在稳定和非稳定情况下，热边界层宽度都会加速。发现对于诸如Br /Ω和Re的组参数，熵的生成正在增加。磁场参数，并获得倒数磁场参数。对于稳定情况，速度分布会增加，但对于不稳定情况，速度分布会受磁参数的影响而减速。流体速度和感应磁分布随粘弹性参数单调减速，但在稳定和非稳定情况下，热边界层宽度都会加速。发现对于诸如Br /Ω和Re的组参数，熵的生成正在增加。磁场参数，并获得倒数磁场参数。对于稳定情况，速度分布会增加，但对于不稳定情况，速度分布会受磁参数的影响而减速。流体速度和感应磁分布随粘弹性参数单调减速，但在稳定和非稳定情况下，热边界层宽度都会加速。发现对于诸如Br /Ω和Re的组参数，熵的生成正在增加。流体速度和感应磁分布随粘弹性参数单调减速，但在稳定和非稳定情况下，热边界层宽度都会加速。发现对于诸如Br /Ω和Re的组参数，熵的生成正在增加。流体速度和感应磁分布随粘弹性参数单调减速，但在稳定和非稳定情况下，热边界层宽度都会加速。发现对于诸如Br /Ω和Re的组参数，熵的生成正在增加。