The existence and stability of quasi-steady periodic voidage waves in a fluidized bed

DOI10.1007/BF00946754zbMath0609.76040OpenAlexW2029678393MaRDI QIDQ1087079

David John Needham, John H. Merkin

Publication date: 1986

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00946754

zbMATH Keywords

existencebifurcation parametertemporal stabilityHopf bifurcation theoremone-dimensional voidage disturbancequasi-steady periodic solutionsquasi-steady solutionsuniform gas fluidized bed

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (13)

Bifurcation of plane voidage waves in fluidized beds ⋮ Boundary layer similarity flow driven by power-law shear ⋮ On the origin of wave patterns in fluidized beds ⋮ Solitons, solitary waves, and voidage disturbances in gas-fluidized beds ⋮ The nonsimilar laminar wall jet along a moving wall, in a free stream and in a free stream/moving wall ⋮ The nonsimilar laminar wall jet with uniform blowing or suction: new results ⋮ The growth of periodic waves in gas-fluidized beds ⋮ Transverse instability of plane wavetrains in gas-fluidized beds ⋮ Instabilities and the formation of bubbles in fluidized beds ⋮ One- and two-dimensional travelling wave solutions in gas-fluidized beds ⋮ A comparison of one-dimensional traveling waves in inverse and normal fluidized beds ⋮ Homotopy analysis of a self-similar boundary-flow driven by a power-law shear ⋮ A note on the stability and the bifurcation to periodic solutions for wave-hierarchy problems with dissipation

Cites Work

• The propagation of a voidage disturbance in a uniformly fluidized bed
• Instability waves and the origin of bubbles in fluidized beds
• Instability waves and the origin of bubbles in fluidized beds—II Comparison with theory
• On the mathematics of fluidization Part 1. Fundamental equations and wave propagation
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