Abstract
AbstractWe present a number of exact solutions to the linearised Grad equations for non-equilibrium rarefied gas flows and heat flows. The solutions include the flow and pressure fields associated to a point force placed in a rarefied gas flow close to a no-slip boundary and the temperature field for a point heat source placed in a heat flow close to a temperature jump boundary. We also derive the solution of the unsteady Grad equations in one dimension with a time-dependent point heat source term and the Grad analogue of the rotlet, a well-known singularity of Stokes flow which corresponds to a point torque.
Publisher
Springer Science and Business Media LLC
Subject
General Engineering,General Mathematics
Reference45 articles.
1. Li H, Leong FY, Xu G, Ge Z, Kang CW, Lim KH (2020) Dispersion of evaporating cough droplets in tropical outdoor environment. Phys Fluids 32:113301
2. Cercignani C (2006) Slow rarefied flows: theory and application to micro-electro-mechanical systems. Springer
3. Teolis BD, Jones GH, Miles PF, Tokar RL, Magee BA, Waite JH, Rousso E, Young DT, Crary FJ, Coates AJ, Johnson RE, Tseng W-L, Baragiola (2010) Cassini finds an oxygen–carbon dioxide atmosphere at Saturn’s icy moon Rhea. Science 330(6012):1813–1815
4. Meng J, Zhang Y, Reese JM (2015) Numerical simulation of rarefied gas flows with specified heat flux boundary conditions. J Fluid Mech 17(5):1185–1200
5. Maxwell JC (1879) On stresses in rarefied gases arising from inequalities of temperature. Philos Trans R Soc Lond A 170:231–256
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