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arXiv · 1711.09076

Second order Galilean fluids & Stokes' law

Nabamita Banerjee·Sayali Atul Bhatkar·Akash Jain
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Abstract

We study the second derivative effects on the constitutive relations of an uncharged parity-even Galilean fluid using the null fluid framework. Null fluids are an equivalent representation of Galilean fluids in terms of a higher dimensional relativistic fluid, which makes the Galilean symmetries manifest and tractable. The analysis is based on the offshell formalism of hydrodynamics. We use this formalism to work out a generic algorithm to obtain the constitutive relations of a Galilean fluid up to arbitrarily high derivative orders, and later specialise to second order. Finally, we study the Stokes' law which determines the drag force on an object moving through a fluid, in presence of certain second order terms. We identify the second order transport coefficients which leave the drag force invariant.

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Nabamita Banerjee, Sayali Atul Bhatkar, Akash Jain. 2017-11-24. Second order Galilean fluids & Stokes' law. https://doi.org/10.1103/physrevd.97.096018

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