Topic
Brinkman number
About: Brinkman number is a research topic. Over the lifetime, 758 publications have been published within this topic receiving 14999 citations.
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TL;DR: In this paper, the steady motion of a viscous fluid was studied in terms of the two-dimensional steady motion, and the authors proposed a steady motion model for viscous fluids.
Abstract: (1915). L. The two-dimensional steady motion of a viscous fluid. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science: Vol. 29, No. 172, pp. 455-465.
340 citations
TL;DR: In this paper, the fundamental solution or Green's function for flow in porous media is determined using Stokesian dynamics, a molecular-dynamics-like simulation method capable of describing the motions and forces of hydrodynamically interacting particles in Stokes flow by evaluating the velocity disturbance caused by a source particle on field particles located throughout a monodisperse porous medium.
Abstract: The fundamental solution or Green’s function for flow in porous media is determined using Stokesian dynamics, a molecular‐dynamics‐like simulation method capable of describing the motions and forces of hydrodynamically interacting particles in Stokes flow By evaluating the velocity disturbance caused by a source particle on field particles located throughout a monodisperse porous medium at a given value of volume fraction of solids φ, and by considering many such realizations of the (random) porous medium, the fundamental solution is determined Comparison of this fundamental solution with the Green’s function of the Brinkman equation shows that the Brinkman equation accurately describes the flow in porous media for volume fractions below 005 For larger volume fractions significant differences between the two exist, indicating that the Brinkman equation has lost detailed predictive value, although it still describes qualitatively the behavior in moderately concentrated porous media At low φ where the Brinkman equation is known to be valid, the agreement between the simulation results and the Brinkman equation demonstrates that the Stokesian dynamics method correctly captures the screening characteristic of porous media The simulation results for φ≥005 may be useful as a basis of comparison for future theoretical work
333 citations
TL;DR: In this paper, a unified mathematical theory for the viscous dissipation term in the governing Brinkman equation is derived, which has the correct asymptotic behaviour in both the fully Darcy and Newtonian fluid flow limits.
Abstract: In this paper a unified mathematical theory for the viscous dissipation term in the governing Brinkman equation is derived. This term has, unlike other models, the correct asymptotic behaviour in both the fully Darcy and Newtonian fluid flow limits.
226 citations
TL;DR: In this article, the entropy analysis in an unsteady magneto-hydrodynamic nano-fluid regime adjacent to an accelerating stretching permeable surface with the water as the base fluid and four different types of nanoparticles; copper (Cu), copper oxide (CuO), aluminum oxide (Al 2 O 3 ) and titanium dioxide (TiO 2 ).
219 citations
TL;DR: In this article, the authors provided an analytical investigation of the fluid flow, heat and mass transfer and entropy generation for the steady laminar non-Newtonian nano-fluid flow induced by a stretching sheet in the presence of velocity slip and convective surface boundary conditions using Optimal Homotopy Analysis Method (OHAM).
214 citations