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中文核心期刊

平行板微通道中一类生物流体在高壁面Zeta势下的非定常电渗流及传热特性

Unsteady electroosmotic flow and heat transfer characteristics of a class of biofluids in parallel plate microchannels under high wall Zeta potential

  • 摘要: 在高壁面Zeta势下,研究由外加交变电场和磁场共同驱动的两个平行板为界的微通道中一类生物流体,即含有悬浮微量元素的血液的周期性振动的非定常电渗流及传热特性. 将血液视为均匀且不可压缩的微极性流体,对其性质进行数学分析,首先,在不使用Debye-Hückel(D-H)线性近似条件下,利用摄动法将运动方程展开得到耦合的方程组,继而通过有限差分法求解所得方程组,给出数值解,在低壁面Zeta势下将数值解与使用D-H线性近似得到的解析解加以比较,证明本文数值方法的可靠性;其次讨论壁面Zeta势、微极性粘度、Debye-Hückel(D-H)参数、浓度系数、哈特曼数等对流体流动特性的影响,并探究Prandtl数和Brinkmann数等参数对传热特性的影响. 结果表明:(1)壁面Zeta势在控制流体运动速度和微旋转方面有重要作用;(2)微极性粘度增大,血液的速度和微旋转减小,传热减小;(3)随着D-H参数、浓度系数增大,促进血液的速度和微旋转增大,进而温度上升;(4)在高Zeta势下,外加磁场对流体的速度有明显的抑制作用;(5)Prandtl数和Brinkmann数的增大会促进流体的传热,使得温度升高.

     

    Abstract: The unsteady electroosmotic flow and heat transfer characteristics of a class of biological fluids, namely blood containing suspended trace elements, in a microchannel bounded by two parallel plates driven by an external alternating electric and magnetic field at high wall Zeta potential are studied. Blood is regarded as a uniform and incompressible micropolar fluid, and its properties are analyzed mathematically. First, under the condition that Debye-Hückel (D-H) linear approximation was not used, the coupled equations of motion were developed by the perturbation method, and then the equations were solved by the finite difference method, and the numerical solution was given. Under the low wall Zeta potential, the numerical solution was compared with the analytical solution obtained by using D-H linear approximation. The reliability of the numerical method in this paper was proved. Secondly, the influences of wall Zeta potential, micropolar viscosity, Debye-Hückel (D-H) parameters, concentration coefficient and Hartmann number on fluid flow characteristics were discussed, and the influences of Prandtl number and Brinkmann number on heat transfer characteristics were explored. The results show that: (1) the wall Zeta potential plays an important role in controlling fluid velocity and micro-rotation; (2) with the enlargement of micropolar viscosity, blood velocity and micro-rotation decrease, and heat transfer minishes; (3) with the increase of D-H parameters and concentration coefficient, the speed and micro-rotation of blood are increased, and the temperature is magnified; (4) at high wall Zeta potential, the applied magnetic field obviously inhibits the fluid velocity; (5) the augment of Prandtl number and Brinkmann number will promote the heat transfer of the fluid, causing the temperature to rise.

     

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