The features of ferromagnetic fluids make it supportive for an extensive usage in loudspeakers, magnetic resonance imaging, computer hard drives, directing of magnetic drug and magnetic hyperthermia. Owing to all such potential applications, the current investigation is to understand the relationship between the thermal distribution, magnetic field and resulting fluid flow of Maxwell liquid over a stretching sheet. Investigation of thermal energy and concentration is carried out in the presence of thermal radiation, non-uniform heat sink/source, chemical reaction, Stefan blowing, magnetic dipole, thermophoresis and Brownian motion. Also, microorganisms are considered just to stabilize the suspended nanoparticles. Boundary layer approximation is employed during mathematical derivation. Based on a new constitutive relation, the governing equations are formulated and are reduced into a coupled non-linear system of equations using appropriate transformations. Further, these equations are solved numerically using fourth-order Runge–Kutta method with shooting technique. The impact of involved parameters is discussed and analysed graphically. Outcomes disclose that Newtonian liquid shows high heat transfer when compared to non-Newtonian (Maxwell) liquid for increased values of Brownian motion and thermophoresis parameters. Increased values of Peclet number declines the rate of gyrotactic microorganisms. Finally, an increase in Brownian and thermophoresis motion parameters declines the rate of heat transfer.

铁磁流体的特性使其支持广泛应用于扬声器、磁共振成像、计算机硬盘驱动器、磁性药物的导向和磁热疗。由于所有这些潜在的应用，目前的研究是了解热分布、磁场和麦克斯韦液体在拉伸片上的流体流动之间的关系。在存在热辐射、非均匀散热器/源、化学反应、斯特凡吹气、磁偶极子、热泳和布朗运动的情况下进行热能和浓度的研究。此外，微生物被认为只是为了稳定悬浮的纳米粒子。在数学推导过程中采用边界层近似。基于新的本构关系，控制方程被公式化，并使用适当的变换简化为耦合的非线性方程组。此外，这些方程使用四阶 Runge-Kutta 方法和射击技术进行数值求解。以图形方式讨论和分析了所涉及参数的影响。结果表明，当与非牛顿（麦克斯韦）液体相比时，牛顿液体显示出较高的热传递，以提高布朗运动和热泳参数的值。Peclet 数的增加值降低了回旋微生物的速率。最后，布朗运动和热泳运动参数的增加会降低传热速率。这些方程使用四阶龙格-库塔方法和射击技术进行数值求解。以图形方式讨论和分析了所涉及参数的影响。结果表明，当与非牛顿（麦克斯韦）液体相比时，牛顿液体显示出较高的热传递，以提高布朗运动和热泳参数的值。Peclet 数的增加值降低了回旋微生物的速率。最后，布朗运动和热泳运动参数的增加会降低传热速率。这些方程使用四阶龙格-库塔方法和射击技术进行数值求解。以图形方式讨论和分析了所涉及参数的影响。结果表明，当与非牛顿（麦克斯韦）液体相比时，牛顿液体显示出较高的热传递，以提高布朗运动和热泳参数的值。Peclet 数的增加值降低了回旋微生物的速率。最后，布朗运动和热泳运动参数的增加会降低传热速率。Peclet 数的增加值降低了回旋微生物的速率。最后，布朗运动和热泳运动参数的增加会降低传热速率。Peclet 数的增加值降低了回旋微生物的速率。最后，布朗运动和热泳运动参数的增加会降低传热速率。