Analytical study of Küppers-Lortz instability in a Newtonian-Boussinesq liquid with rigidisothermal boundaries
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P. G. Siddheshwar
Abstract
The paper deals with primary and secondary instabilities in Rayleigh- Benard-Taylor convection in the case of rigid-isothermal boundaries. The singleterm Galerkin approximation is used in obtaining estimates of the critical Rayleigh number and critical wave number for primary instability and critical Taylor number and critical angle between the intersecting rolls in the case of the Kuppers-Lortz secondary instability. Comparison is made between the results of rigid isothermal boundaries with those of free isothermal boundaries.
Abstract
The paper deals with primary and secondary instabilities in Rayleigh- Benard-Taylor convection in the case of rigid-isothermal boundaries. The singleterm Galerkin approximation is used in obtaining estimates of the critical Rayleigh number and critical wave number for primary instability and critical Taylor number and critical angle between the intersecting rolls in the case of the Kuppers-Lortz secondary instability. Comparison is made between the results of rigid isothermal boundaries with those of free isothermal boundaries.
Chapters in this book
- Frontmatter I
- Contents V
- Foreword VII
- Editor X
- Analytical study of Küppers-Lortz instability in a Newtonian-Boussinesq liquid with rigidisothermal boundaries 1
- Quadratic radiation and quadratic Boussinesq approximation on hybrid nanoliquid flow 13
- Convective heat transfer of magneto flow of Fe3O4-MWCNT/H2O hybrid nanofluid in a porous space between two concentric cylinders 55
- Computational analysis of bioconvection in magnetized flow of thixotropic nanofluid with gyrotactic microorganisms 75
- On the features of Stefan blowing magnetized flow of bioconvected nanofluid through slip conditions 103
- Computer-assisted successive linearization solution of the Darcy-Forchheimer-Brinkman flow through a rectangular channel 121
- Linear and non-linear instability analysis of the onset of magnetoconvection in couplestress fluids with thermorheological effect 143
- Two-component convection in micropolar fluid under time-dependent boundary concentration 163
- A numerical study of metal hydride reactor embedded with helical coil heat exchanger 201
- Dynamics of non-Newtonian nanoliquid with quadratic thermal convection 223
- List of contributors 249
Chapters in this book
- Frontmatter I
- Contents V
- Foreword VII
- Editor X
- Analytical study of Küppers-Lortz instability in a Newtonian-Boussinesq liquid with rigidisothermal boundaries 1
- Quadratic radiation and quadratic Boussinesq approximation on hybrid nanoliquid flow 13
- Convective heat transfer of magneto flow of Fe3O4-MWCNT/H2O hybrid nanofluid in a porous space between two concentric cylinders 55
- Computational analysis of bioconvection in magnetized flow of thixotropic nanofluid with gyrotactic microorganisms 75
- On the features of Stefan blowing magnetized flow of bioconvected nanofluid through slip conditions 103
- Computer-assisted successive linearization solution of the Darcy-Forchheimer-Brinkman flow through a rectangular channel 121
- Linear and non-linear instability analysis of the onset of magnetoconvection in couplestress fluids with thermorheological effect 143
- Two-component convection in micropolar fluid under time-dependent boundary concentration 163
- A numerical study of metal hydride reactor embedded with helical coil heat exchanger 201
- Dynamics of non-Newtonian nanoliquid with quadratic thermal convection 223
- List of contributors 249
