In this present communication, we proposed the mathematical model for non-Newtonian liquid (Ree-Eyring model) towards a stretched surface. The Buongiorno model is used in the modelling of flow problem subject to magnetohydrodynamics, entropy generation, nonlinear thermal radiation, homogeneous-heterogeneous reactions, Brownian motion, Joule heating and thermophoresis diffusion. Convective boundary conditions are implemented at the stretched surface. With the assistance of rheological expression of Ree-Eyring model, we construct the governing flow expressions. The energy equation is developed via Brownian diffusion, nonlinear thermal radiation, Joule heating and thermophoresis. Two different types of species (homogeneous-heterogeneous reactions) are considered for the analysis of mass transport. The flow is solely induced due to a nonlinear stretched surface. The electrical conducting and chemically reactive fluid is considered for the analysis towards a stretched surface. The appropriate transformations are implemented to transform governing PDEs into a set of coupled ODEs. Shooting method has been applied to get the solutions of obtained highly non-linear ODEs. The thermodynamics second law is employed to model and calculate total entropy rate. Impact of influential variables on the flow field (velocity), gradient of velocity, temperature, gradient of temperature, concentration and entropy generation rate are studied. The engineering quantities like velocity, temperature gradients are numerical discussed in tabular form. Furthermore, the entropy rate and Bejan number show contrast impact versus larger Brinkman number.

在本次交流中，我们提出了非牛顿液体朝向拉伸表面的数学模型（Ree-Eyring模型）。Buongiorno模型用于对磁流体动力学，熵产生，非线性热辐射，均相-非均相反应，布朗运动，焦耳热和热泳扩散等问题进行流动建模。对流边界条件在拉伸表面上实现。借助Ree-Eyring模型的流变学表达式，我们构造了控制流表达式。能量方程是通过布朗扩散，非线性热辐射，焦耳热和热泳建立的。考虑两种不同类型的物种（同质-异质反应）进行传质分析。仅由于非线性拉伸表面而引起流动。考虑将导电和化学反应性流体用于朝向拉伸表面的分析。实现适当的转换以将控制PDE转换为一组耦合的ODE。已经采用射击方法来获得获得的高度非线性ODE的解。使用热力学第二定律来建模和计算总熵率。研究了影响变量对流场（速度），速度梯度，温度梯度，温度梯度，浓度和熵产生率的影响。以表格形式讨论了诸如速度，温度梯度等工程量。此外，熵率和Bejan数与较大的Brinkman数相比显示出对比度影响。考虑将导电和化学反应性流体用于朝向拉伸表面的分析。实现适当的转换以将控制PDE转换为一组耦合的ODE。已经采用射击方法来获得获得的高度非线性ODE的解。使用热力学第二定律来建模和计算总熵率。研究了影响变量对流场（速度），速度梯度，温度梯度，温度梯度，浓度和熵产生率的影响。以表格形式讨论了诸如速度，温度梯度等工程量。此外，熵率和Bejan数与较大的Brinkman数相比显示出对比度影响。考虑将导电和化学反应性流体用于朝向拉伸表面的分析。实现适当的转换以将控制PDE转换为一组耦合的ODE。已经采用射击方法来获得获得的高度非线性ODE的解。使用热力学第二定律来建模和计算总熵率。研究了影响变量对流场（速度），速度梯度，温度梯度，温度梯度，浓度和熵产生率的影响。以表格形式讨论了诸如速度，温度梯度等工程量。此外，熵率和Bejan数与较大的Brinkman数相比显示出对比度影响。