Energy conservation of nanofluids from a biomagnetic needle in the presence of Stefan blowing: Lie symmetry and numerical simulation
Energy conservation of nanofluids from a biomagnetic needle in the presence of Stefan blowing: Lie symmetry and numerical simulation
复制标题
DOI：
10.1016/j.csite.2021.100861
复制
发表时间：
2021-02-03
影响因子：
6.8
通讯作者：
Sathasivam, Saratha
中科院分区：
文献类型：
--
作者：
Beg, O. Anwar;Zohra, F. T.;Sathasivam, Saratha
与热传递相关的热能管理是许多工业装置（例如制药、化学和食品）和生物工程设备（例如医院通风、加热、冷却设备、热交换器和干燥食品等）中的主要问题之一。本研究的目的是研究趋氧微生物的热生物对流发生在一个纳米流体饱和针与磁场。应用Stefan吹扫。对连续性方程、动量方程和能量方程、氧浓度和微生物种群密度的物种输运方程进行无量纲化，并利用Lie对称群变换生成相应的不变变换。使用MATLAB（2015a）bvp5c内置函数模拟了由此产生的相似边值问题（其中吹扫参数与浓度耦合）。的无量纲速度，温度，纳米粒子浓度和能动微生物密度函数和它们的斜率在墙上的新兴因素的影响，被描绘和制表。包括已发表结果的依据。结果表明，各物理量随Stefan吹除而减小，随幂律指数参数而增大。随着磁场参数的升高，洛仑兹阻力、摩擦因数随着局部努塞尔数、局部舍伍德数、局部活动微生物密度壁面梯度的增大而减小。本研究可用于食品和制药工业、化学加工设备、燃料电池技术、提高石油采收率等。
Thermal energy management associated with the transmission of heat is one of the main problems in many industrial setups (e.g. pharmaceutical, chemical and food) and bio-engineering devices (e.g. hospital ventilation, heating, cooling devices, heat exchanger and drying food, etc). The current study aims to examine thermo-bioconvection of oxytactic microorganisms taking place in a nanofluid-saturated needle with the magnetic field. Stefan-blowing is applied. The leading equations of continuity, momentum and energy, species transport equations for oxygen concentration and population density of microorganisms are reduced dimensionless and Lie symmetry group transformations are used to generate appropriate invariant transformations. The resulting similarity boundary value problem (in which the blowing parameter is coupled with concentration) have been simulated using MATLAB (2015a) bvp5c built in function. The impact of the emerging factors on the nondimensional velocity, temperature, nanoparticle concentration and motile microorganism density functions and their slopes at the wall, are pictured and tabulated. Justification with published results are included. It is found that all physical quantities decrease with Stefan blowing and increase with power law index parameter. With elevation in magnetic field parameter i.e., Lorentzian drag force, the friction factor reduces while the local Nusselt number, local Sherwood number, and the local motile microorganism density wall gradient increase. Present study could be used in food and pharmaceutical industries, chemical processing equipment, fuel cell technology, enhanced oil recovery, etc.