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Effect of ambient gas on cavity formation for sphere impacts on liquids (2022)
Journal Article
Williams, H., Sprittles, J., Padrino, J. C., & Denissenko, P. (2022). Effect of ambient gas on cavity formation for sphere impacts on liquids. Physical Review Fluids, 7(9), Article 094003. https://doi.org/10.1103/physrevfluids.7.094003

Formation of a splash crown and a cavity following the impact of a sphere on a body of liquid is a classical problem. In the related problem of a droplet splashing on a flat surface, it has been established that the properties of the surrounding gas... Read More about Effect of ambient gas on cavity formation for sphere impacts on liquids.

Efficient simulation of rarefied gas flow past a particle: A boundary element method for the linearized G13 equations (2022)
Journal Article
Padrino, J. C., Sprittles, J. E., & Lockerby, D. A. (2022). Efficient simulation of rarefied gas flow past a particle: A boundary element method for the linearized G13 equations. Physics of Fluids, 34(6), Article 062011. https://doi.org/10.1063/5.0091041

We develop a novel boundary integral formulation for the steady linearized form of Grad's 13-moment (G13) equations applied to a uniform flow of rarefied gas past solid objects at low Mach numbers. Changing variables leads to a system of boundary int... Read More about Efficient simulation of rarefied gas flow past a particle: A boundary element method for the linearized G13 equations.

Thermophoresis of a spherical particle: modelling through moment-based, macroscopic transport equations (2019)
Journal Article
Padrino, J. C., Sprittles, J. E., & Lockerby, D. A. (2019). Thermophoresis of a spherical particle: modelling through moment-based, macroscopic transport equations. Journal of Fluid Mechanics, 862, 312-347. https://doi.org/10.1017/jfm.2018.907

We consider the linearized form of the regularized 13-moment equations (R13) to model the slow, steady gas dynamics surrounding a rigid, heat-conducting sphere when a uniform temperature gradient is imposed far from the sphere and the gas is in a sta... Read More about Thermophoresis of a spherical particle: modelling through moment-based, macroscopic transport equations.

On the Self-Similar, Wright-Function Exact Solution for Early-Time, Anomalous Diffusion in Random Networks: Comparison with Numerical Results (2018)
Journal Article
Padrino, J. C. (2018). On the Self-Similar, Wright-Function Exact Solution for Early-Time, Anomalous Diffusion in Random Networks: Comparison with Numerical Results. International Journal of Applied and Computational Mathematics, 4(5), Article 131. https://doi.org/10.1007/s40819-018-0559-x

Recently, Zhang and Padrino in (Int J Multiph Flow 92:70–81, 2017) derived an equation for diffusion in random networks consisting of junction pockets and connecting channels by applying the ensemble average method to the mass conservation principle.... Read More about On the Self-Similar, Wright-Function Exact Solution for Early-Time, Anomalous Diffusion in Random Networks: Comparison with Numerical Results.