The history force on a particle depends on background flow and needs to be studied to understand dilute particle-laden turbulence. In this study, we numerically investigate the history force on the translating sphere in some non-uniform flows in which the undisturbed streamlines are curved, over a range of the particle Reynolds number being 5 ≤ Rep ≤ 40. For the axisymmetric straining flow, the applicability of the history force model which is based on the result of the uniform flow is highly influenced by the direction of the straining. For the non-axisymmetric shear flows, the history force perpendicular to the particle translating velocity agrees with the model for 5 ≤ Rep ≤ 10. In conclusion, the limited applicability of the history force model is clarified for some non-uniform flows.
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