Rheology of compressible and density-variable Newtonian flows: non-Stokes hypothesis and 'volume diffusion'

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Adopting the definition and existence of various type of flow velocities beyond that of the standard mass velocity, we suggest derivation of model boundary conditions that may systematically justify various diffusion process occurring in micro- and nano-flows....

We present a full investigation into shock-wave profile description using hydrodynamics models. We identified constitutive equations that provide better agreement for all parameters involved in testing hydrodynamic equations for the prediction of shock structure in a monatomic gas in the Mach number range 1 - 11 ....

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Our new article: "Reinterpreting shock wave structure predictions using the Navier-Stokes equations" in Journal Shock Waves.

Our manuscript titled "Porosity gradients as a means of driving lateral flows at cometary surfaces," in Planetary and Space Science

Over the past two decades, several researchers have presented experimental data from pressure-driven liquid flows through nanotubes. They quote flow velocities which are four to five orders of magnitude higher than those predicted by the classical theory. ...

Here in Journal of Physics Communications we propose a technique that transforms classical Navier-Stokes equations into mathematically and physically different structures.

Dr. M.H.L. Reddy presented a poster, "On the different forms of Navier-Stokes equations", at Chemical Engineering Day-UK held at Heriot-Watt University, Edinburgh from 8^th - 10^th April, 2019.

Ciaran Woods, student of B.Eng. Mechanical at HWU developed code for density wave simulation for modelling traffic flows.

A 115-year effort to bridge the particle and fluid descriptions of nature has led mathematicians to an unexpected answer.

Dr. A.V.A Stamatiou poster, "Investigating the enhanced mass flow rates in pressure-driven liquid flow through nanopores", at Interpore 2019 in Valencia, Spain

Two mathematicians prove that under certain extreme conditions, the Navier-Stokes equations output nonsense.

A poster by Dr. M.H.L. Reddy describing a better prediction of shock wave structures using re-casted Navier-Stokes equations presented at the 32^nd Scottish Fluid Mechanics Meeting 2019, Dundee, UK