| 非牛顿流体的差分方法研究 |
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| 引用本文： | 张茂林,吴清松,李传亮,梅海燕,孙雷,孙良田.非牛顿流体的差分方法研究[J].西南石油大学学报（自然科学版）,2000,22(1):5-8. |
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| 作者姓名： | 张茂林 吴清松 李传亮 梅海燕 孙雷 孙良田 |
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| 作者单位： | 1.中国科学技术大学热科学和能源工程系,安徽 合肥 230027; 2.西南石油学院,四川 南充637001 |
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| 摘 要： | 用解析方法求解非牛顿流体的流动方程是非常困难的,工程上通常采用有限差分方法对其进行数值求解。为避免用势梯度分量差分方法求解非牛顿流体渗流问题所带来的偏差,提出了求解非牛顿流体渗流问题的势梯度模差分方法;从理论上分析了势梯度分量差分方法存在的缺陷,即非牛顿流体的渗流微分方程与之相对应的分量差分方程不相容。最后以Bingham原油为例揭示了二种方法在数值上的差别。
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| 关 键 词： | 非牛顿流体 渗流 数值模拟 差分方法 |
| 收稿时间： | 1999-06-30 |
RESEARCH ON THE FORMULATION OF FINITE DIFFERENCE METHODS FOR NON NEWTONIAN FLUIDS IN POROUS MEDIA |
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| ZHABG Maolin WU Qingsong LI Chuanliang et al.RESEARCH ON THE FORMULATION OF FINITE DIFFERENCE METHODS FOR NON NEWTONIAN FLUIDS IN POROUS MEDIA[J].Journal of Southwest Petroleum University(Seience & Technology Edition),2000,22(1):5-8. |
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| Authors: | ZHABG Maolin WU Qingsong LI Chuanliang |
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| Institution: | University of Science and Technology of China |
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| Abstract: | It is very difficult to solve the flow equations of non-Newtonian fluids by using analytic methods. The finite difference method is usually used to solve them numerically in engineering. In order to bringing some errors with the scalar component finite difference method of potential gradients to calculate the flow problem of non-Newtonian fluids in porous media. The paper presents the modular finite difference method of potential gradients. The defect of scalar component finite-difference method of potential gradients is also analyzed theoretically. That is the finite difference equations are not consistentwith the differential equations of non- Newtonian fluids in porous media. Finally, a calculation example of Bingham oil was shown the numerical difference of the two methods. |
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| Keywords: | non-Newtonian fluid percolation numerical simulation finite difference methods |
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