Abstract The formulation of the total force exerted by magnetic fields on ferrofluids has historically been a subject of intense debate and controversy. Although the theoretical foundations of this problem can now be considered to be well established, significant confusion still remains regarding the implementation of the associated expressions. However, the development of future applications in low-gravity environments is highly dependent on the correct modeling of this force. This paper presents a contextualized analysis of different proposed calculation procedures and validation in a space-like environment. Kinematic measurements of the movement of a ferrofluid droplet subjected to an inhomogeneous magnetic field in microgravity are compared with numerical predictions from a simplified physical model. Theoretical results are consistent with the assumptions of the model and show an excellent agreement with the experiment. The Kelvin force predictions are included in the discussion to exemplify how an incomplete modeling of the magnetic force leads to significant errors in the absence of gravity.

中文翻译：

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微重力条件下铁磁流体液滴上的总磁力

摘要 磁场对铁磁流体施加的总力的公式历来一直是激烈争论和争议的主题。尽管现在可以认为这个问题的理论基础已经很好地建立，但在相关表达式的实现方面仍然存在严重的混淆。然而，未来在低重力环境中应用的开发高度依赖于对这种力的正确建模。本文介绍了在类空间环境中对不同提议的计算程序和验证的上下文分析。将在微重力下受到非均匀磁场的铁磁流体液滴运动的运动学测量与来自简化物理模型的数值预测进行比较。理论结果与模型假设一致，与实验吻合度极好。讨论中包括了开尔文力预测，以举例说明不完整的磁力建模如何在没有重力的情况下导致显着错误。