Abstract
A Janus particle is an example of a micro swimmer which converts chemical energy present in the environment to its mechanical energy using surface reaction. In this work, we theoretically study the weak effect of solute advection on the swimming velocity of an active particle. Using the method of matched asymptotic expansion we provide a general framework for calculating first order corrections to the concentration field and the swimming velocity of an active particle in terms of Peclet number relative strength of advection to diffusion. The O(Pe) corrections reduce the magnitude of swimming velocity independent of other parameters
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