# A correction tensor for approximating drag on slow-moving particles of arbitrary shape

## TL;DR

This paper introduces a novel correction tensor for accurately estimating drag on slow-moving, arbitrarily shaped particles without experimental fitting, validated against theoretical and experimental data.

## Contribution

It presents a new correction tensor that generalizes the Cunningham correction factor for non-spherical particles, enabling better predictions of their transport properties.

## Key findings

- Accurately predicts drag on non-spherical particles.
- Validated against experiments and kinetic theory.
- Provides a simple, general tool for micro/nano particle transport.

## Abstract

A new form of the Cunningham correction factor is presented that requires no experimental fitting. It is expanded to provide a predictive heuristic for non-spherical particles, via definition of a "correction tensor''. Its accuracy is tested against experiments and kinetic theory for the sphere, and stochastic solutions to the Boltzmann equation for a range of spheroids. It represents a simple, general tool for approximating transport properties of non-spherical micro/nano particles in a gas.