摘要
Bioconvection plays an inevitable role in introducing sustainable and environment-friendly fuel cell technologies.Bio-mathematical modelling of such designs needs continuous refinements to achieve strong agreements in experimental and computational results.Actually,microorganisms transport a miscellaneous palette of ingredients in manufacturing industrial goods particularly in fertilizer industries.Heat transfer characteristics of molecular structure are measured by a physical phenomenon which is allied with the transpiration of heat within matter.Motivated by bioinspired fuel cells involved in near-surface flow phenomena,in the present article,we examine the transverse swimming of motile gyrotactic microorganisms numerically in a rheological Jeffery fluid near a stretching wall.The leading physical model is converted in a nonlinear system of ODEs through proper similarity alterations.A numerical technique called shooting method with R-K Fehlberg is applied via mathematical software and graphical presentations are obtained.The influence of all relative physical constraints on velocity,temperature,concentration,and volume fraction of gyrotactic microorganisms is expressed geometrically.It is found that heat and mass flux at the surface as well as density of motile microorganism’s declines for Brownian motion and thermophoresis parameter.Comparison in tabular form is made with existing literature to validate the results for limiting cases with convective boundary conditions.
生物对流在可持续、环境友好型燃料电池技术中具有重要作用。这种设计的生物数学模型需要不断的改进,以在实验和计算结果中取得强有力的一致性。实际上,微生物在工业产品的制造过程中,特别是在肥料工业中,运输各种成分。通过与物质散热相关的物理现象来测量分子结构的传热特性。受仿生燃料电池近壁流动现象的启发,本文运用数值方法研究了在靠近伸展壁面的流变性Jeffery流体中运动的旋控微生物的横向游动。通过适当的相似度变换,将主导物理模型转化为非线性ODE系统。采用R-K Fehlberg打靶法在数学软件上进行数值模拟,得到所有物理条件对旋控微生物的速度、温度、浓度和体积分数的影响。结果表明,由于布朗运动和热泳参数的影响,表面的热通量和质量通量以及运动微生物的密度均有所下降。与已有文献进行比较,验证对流边界条件下极限情况结果的有效性。
