粘性导电流体在磁场作用下流过多孔通道时传热传质振荡流的数值解--用于病理状态动脉中血液的流动

Numerical Solution of Heat and Mass Transfer Problem in Oscillatory Flow of a Viscous Electrically Conducting Fluid Through a Porous Channel Subjected to a Magnetic Field:Applications to Blood Flow in Arteries in a Pathological State

当血管内壁出现多孔性结构时,流过多孔性血管的血液将作不稳定的MHD流动.研究血液在其中的传热传质问题,考虑了与时间相关的渗透率和振荡引起的吸入速度,并数值地求解该问题.对分析中出现的参数取不同数值时,图形给出了速度、温度、浓度场,以及表面摩擦因数、Nusselt数和Sherwood数的计算结果.研究表明,血液流动受磁场和Grashof数的影响明显.

A problem was motivated towards studying heat and mass transfer in the unsteady MHD flow of blood through a porous vessel,when the lumen of the vessel had turned into a porous structure.Consideration of time-dependent permeability and oscillatory suction velocity had been made.The problem was solved numerically.The computational results are presented graphically for the velocity,temperature and concentration fields as well as the skin friction co-efficient,Nusselt number and Sherwood number for various values of the parameters involved in the analysis. It was revealed that the flow is appreciably influenced by the presence of a magnetic field and also by the value of the Grashof number.