The Rayleigh-Bénard problem for a fluid with pressure- and temperature-dependent material properties
DOI10.1007/s00033-022-01894-7zbMath1503.35160OpenAlexW4311126515MaRDI QIDQ2105249
Publication date: 8 December 2022
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-022-01894-7
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) Estimates of eigenvalues in context of PDEs (35P15) Finite volume methods applied to problems in fluid mechanics (76M12) Free convection (76R10) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Diffusive and convective heat and mass transfer, heat flow (80A19)
Uses Software
Cites Work
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- Stability analysis of the Rayleigh-Bénard convection for a fluid with temperature- and pressure-dependent viscosity
- On the Oberbeck-Boussinesq approximation for fluids with pressure dependent viscosities
- Exchange of stabilities, symmetry, and nonlinear stability
- Nonlinear stability analysis of the Bénard problem for fluids with a convex nonincreasing temperature depending viscosity
- Nonlinear stability analysis of convection for fluids with exponentially temperature-dependent viscosity
- ON THE OBERBECK-BOUSSINESQ APPROXIMATION
- The Benard problem for nonlinear heat conduction: unconditional stability
- On the approximation of isochoric motions of fluids under different flow conditions
- Non‐linear stability for convection with quadratic temperature dependent viscosity
- On the principle of exchange of stabilities
- On Ordinary Differential Equations of any Even Order and the Corresponding Eigenfunction Expansions
