Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan.
Department of Mathematics, York Campus, Pennsylvania State University, York, Pennsylvania 17403, U. S. A.
Math Biosci Eng. 2019 Apr 10;16(4):2927-2941. doi: 10.3934/mbe.2019144.
This study shows the effects of magnetic field and copper nanoparticles on the flow of tangent hyperbolic fluid (blood) through a ciliated tube (fallopian tube). The present study will be very helpful for those patients who are facing blood clotting in fallopian tube that may cause for infertility or cancer. The nanoparticles and magnetic field are very helpful to break the clots in blood flowing in fallopian tube. Since blood flows in fallopian tube due to ciliary movement, therefore medicines containing copper nanoparticles and magnetic field with radiation therapy help to improve the patient. Ciliary movement has a particular pattern of motion i.e., metachronal wavy motion which helps to fluid flow. For the forced convective MHD flow of tangent hyperbolic nano-fluid, momentum and energy equations are solved by the small Reynolds' number approximation and Adomian decomposition method by constructing the recursive relation of ADM and solved by software "MATHEMATICA". The effects of parameters such as nanoparticle volume fraction, Hartmann number, entropy generation and Bejan's number have been discussed through graphs plotted in software "MATHEMATICA". It is found that blood flow is accelerated and heat transfer enhancement is maximum in the presence of nano particles, also magnetic effects accelerates the blood flow and help to enhance the heat transfer whereas the presence of porous medium increases the fluid's velocity and reduce the transfer of heat through fluid flow.
本研究展示了磁场和铜纳米粒子对切双曲流体(血液)流经纤毛管(输卵管)的流动的影响。本研究将对那些面临输卵管内血栓形成的患者非常有帮助,这可能导致不孕或癌症。纳米粒子和磁场非常有助于打破输卵管中血流的血栓。由于血液由于纤毛运动而在输卵管中流动,因此含有铜纳米粒子和磁场的药物与放射治疗有助于改善患者。纤毛运动具有特定的运动模式,即同步波状运动,有助于流体流动。对于切双曲纳米流体的强制对流 MHD 流动,通过小雷诺数近似和 Adomian 分解方法求解动量和能量方程,通过构建 ADM 的递归关系并使用“MATHEMATICA”软件求解。通过在“MATHEMATICA”软件中绘制图形讨论了纳米粒子体积分数、哈特曼数、熵产生和 Bejan 数等参数的影响。结果发现,存在纳米粒子时会加速血液流动并最大程度地提高传热效果,磁场效应也会加速血液流动并有助于增强传热,而多孔介质的存在会增加流体速度并减少通过流体流动的热传递。