M. Miklavčič
Michigan State University
Publications 41
#1M. Miklavčič (MSU: Michigan State University)H-Index: 12
#2Indrek S. Wichman (MSU: Michigan State University)H-Index: 22
ABSTRACTA method for mathematically solving the oscillatory infinite reaction rate diffusion flame is extended to the case where the oscillating convective coflow is either inside of, or adjacent to, a viscous vortex. The neglect of streamwise diffusion coupled with the restriction to infinite rate chemistry produces a Burke-Schumann boundary layer flame. The mathematical transformation, which does not require a priori restriction to small coflow oscillations, renders the transient oscillatory p...
#1M. Miklavčič (MSU: Michigan State University)H-Index: 12
It is shown that unstable dual solutions in fully developed mixed convection flow in a vertical channel disappear in the presence of relatively strong thermal radiation. In this case, we have a unique stable flow at each pressure gradient. When the effect of thermal radiation is weak another branch of stable solutions is created, resulting in bistable flows. In this case, the flow exhibits hysteresis with variation of the pressure gradient. Optically, a thin radiation model is used.
#1A. Barletta (UNIBO: University of Bologna)H-Index: 21
#2M. Miklavčič (MSU: Michigan State University)H-Index: 12
Flow driven by an externally imposed pressure gradient in a vertical porous channel is analysed. The combined effects of viscous dissipation and thermal buoyancy are taken into account. These effects yield a basic mixed convection regime given by dual flow branches. Duality of flow emerges for a given vertical pressure gradient. In the case of downward pressure gradient, i.e. upward mean flow, dual solutions coincide when the intensity of the downward pressure gradient attains a maximum. Above t...
#1M. Miklavčič (MSU: Michigan State University)H-Index: 12
#2Indrek S. Wichman (MSU: Michigan State University)H-Index: 22
Abstract A novel method is presented for solving the forced transient diffusion flame in the exit region of a coflow burner. Streamwise diffusion is eliminated, which produces the Burke–Schumann model. A mathematical transformation renders the transient, forced convection problem equivalent to a steady-state convection problem. The transformation differs from previous approaches because its use does not require a priori restriction to small perturbations. For this reason, flow fluctuations that ...
Stability of fully developed mixed convection flows, with significant viscous dissipation, in a vertical channel bounded by isothermal plane walls having the same temperature and subject to pressure gradient is investigated. It is shown that one of the dual solutions is always unstable and that both are unstable when the total flow rate is big enough. The completely passive natural convection flow is shown to be unstable.
#1Abhishek Dutta (MSU: Michigan State University)H-Index: 6
#2Srinivasan Arjun Tekalur (MSU: Michigan State University)H-Index: 12
Last.M. Miklavčič (MSU: Michigan State University)H-Index: 12
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Hybrid staggered architecture composites, like nacre and bone, are known for two discernible aspects: superior strength and synergistic toughness. What is lacking is the scientific rationale proving suitability of these materials under impact/time dependent loading. The current investigation aims to address the structure-property correlationship of these materials by development of an analytical model under dynamic rates of loading. Existing literature studies address behavior of staggered mater...
Schneider misinterpreted the rhetorical question about the second law, which the authors firmly believe not violated. Their main purpose is to show, under the Boussinesq approximation and the Navier-Stokes, there exist non-trivial solutions even for quiescent boundary conditions.
#1M. Miklavčič (MSU: Michigan State University)H-Index: 12
#2C. Y. Wang (MSU: Michigan State University)H-Index: 9
We show that a unique, nontrivial, natural convection state exists under the Boussinesq approximation and completely passive boundary conditions.