An analytical solution is found for examining the effect of a fluid’s elasticity on the performance of MHD micropumps. The test fluid is assumed to be an incompressible viscoelastic fluid obeying the Oldroyd-B model. The flow generated by the Lorentz force is assumed to be laminar, unidirectional, and two-dimensional. The effects of relaxation and retardation times are investigated on the volumetric flow rate. It is concluded that by a decrease in the relaxation time, the pulsatile nature of micropump can be eliminated in its transient phase. At sufficiently low relaxation times, the flow is predicted to monotonically reach its steady value at a much shorter time. By an increase in the retardation time, the pulsatile nature of micropump in its transient phase can also be eliminated and the flow will be more continuous in its steady conditions.

找到了一种分析解决方案，用于检查流体弹性对 MHD 微型泵性能的影响。假设测试流体是不可压缩的粘弹性流体，服从 Oldroyd-B 模型。由洛伦兹力产生的流动被假定为层流、单向和二维。研究了弛豫时间和延迟时间对体积流速的影响。得出的结论是，通过减少弛豫时间，可以在其瞬态阶段消除微型泵的脉动性质。在足够低的弛豫时间下，预计流动将在更短的时间内单调达到其稳定值。通过增加延迟时间，微型泵在其瞬态阶段的脉动性质也可以消除，并且在其稳定条件下流动将更加连续。