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首页> 外文期刊>International Journal of Heat and Mass Transfer >Mathematical Formulation And Numerical Modeling Of Waxrndeposition In Pipelines From Enthalpy-porosity Approachrnand Irreversible Thermodynamics
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Mathematical Formulation And Numerical Modeling Of Waxrndeposition In Pipelines From Enthalpy-porosity Approachrnand Irreversible Thermodynamics

机译：焓-孔隙率法和不可逆热力学的管道蜡沉积数学公式及数值模拟

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摘要

In the last 10 years, there have been a number of studies in modeling of the deposition processes in Bowlines. Most of these models: (1) assume empirical or semi-empirical correlations to predict the pressure drop and temperature profile, (2) ignore the radial convection flow in the layer composed of the two-phase wax and oil (that is the gel layer), and (3) use Fick's law to describe the diffusion flux of species towards the wall by using the chain rule to relate concentration gradient to temperature gradient. In this work, a rigorous mathematical model for the prediction of wax deposition in pipelines is presented for laminar flow. The transient deposition of each component is calculated from the solution of the coupled momentum, energy and, species balance equations, and a thermodynamic wax precipitation model at the local level. An enthalpy formulation based on a fixed-grid approach is used to approximate the convection flow in the gel layer. We do not use the chain rule to relate composition gradient to temperature gradient in Fick's law to avoid violating the laws of irreversible thermodynamics. Our diffusion flux expression includes molecular diffusion (concentration gradient is driving force) and thermal diffusion (temperature gradient is driving force) with appropriate diffusion coefficients. This work also includes the description of the numerical solution of the governing equations. Numerical results and features of wax deposition as well as model verification with experimental data are presented in a separate paper.
机译：在过去的十年中，在Bowlines中对沉积过程进行建模的研究很多。这些模型大多数：（1）假定经验或半经验相关性以预测压降和温度曲线，（2）忽略由两相蜡和油组成的层（即凝胶层）中的径向对流），（3）使用菲克定律通过链式规则将浓度梯度与温度梯度相关联来描述物种向壁的扩散通量。在这项工作中，提出了用于预测层流中管道中蜡沉积的严格数学模型。根据耦合的动量，能量和物种平衡方程式以及局部水平的热力学蜡沉淀模型的解来计算每个成分的瞬态沉积。使用基于固定网格方法的焓公式来估计凝胶层中的对流。为了避免违反不可逆热力学定律，我们没有在菲克定律中使用链式规则将成分梯度与温度梯度相关联。我们的扩散通量表达式包括具有适当扩散系数的分子扩散（浓度梯度是驱动力）和热扩散（温度梯度是驱动力）。这项工作还包括控制方程数值解的描述。蜡沉积的数值结果和特征，以及用实验数据进行的模型验证均在另一篇论文中介绍。

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