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利用生物磁流体动力学(BFD)原理,在生物磁流体经由遭受磁场作用的多孔介质时,研究其流动的基本理论.所研究流体的磁化强度随温度而变化.流体被认为是非Newton流体,其流动由二阶梯度流体方程所控制,并考虑了流体的粘弹性效应.假设管道壁是能够伸展的,管壁表面的速度与到坐标原点的纵向距离成正比.首先将问题简化为包括7个参数的、耦合的非线性微分方程组的求解.将血液看作生物磁流体,并用上述方法分析,目的是计算某些血液的流动参数,并配以适当的数值方法,导数用差分格式近似.计算结果用图形给出,从而在磁场作用下,得到过热状态中关系血液的、血流动力学流动的理论预测.结果清楚地表明,在电磁过热治疗进程期间,磁偶极子对动脉中血液流动特征的影响起着重大作用.该研究引起了临床医学的关注,其结果有益于癌症病人采用电磁过热的治疗.
Using the principle of bio-magnetic fluid dynamics (BFD), the basic theory of the flow of a biological magnetic fluid through a porous medium subjected to a magnetic field is studied. The magnetization of the fluid under study varies with temperature. The fluid is considered as a non-Newtonian fluid, The flow is controlled by a second-order gradient fluid equation and takes into account the viscoelastic effect of the fluid. Assuming that the pipe wall is stretchable, the surface velocity of the pipe wall is proportional to the longitudinal distance to the origin of the coordinates. First, Parameter, and coupled nonlinear differential equations.The blood is considered as a biomagnetic fluid and analyzed by the above method in order to calculate the flow parameters of some blood and to use appropriate numerical methods. The derivatives are approximated by the difference scheme. The results of the calculations are graphically presented to obtain a theoretical prediction of the hemodynamic status of the blood in an overheated condition under the effect of a magnetic field The results clearly show that magnetic dipoles affect blood flow in the arteries during the course of the electromagnetic hyperthermia treatment The impact of flow characteristics plays a major role in this study, which has drawn the attention of clinical medicine, the results benefit the treatment of cancer patients with electromagnetic overheating.