On the three dimensional instability modes in boundary layers

1985 ◽  
Author(s):  
Y.-P. TANG ◽  
M.-Z. CHEN
Keyword(s):  
Boundary Layers ◽  
Three Dimensional ◽  
Instability Modes ◽  
Dimensional Instability

Magneto-gravitational convection in a vertical layer of ferrofluid in a uniform oblique magnetic field

2016 ◽  
Vol 795 ◽  
pp. 847-875 ◽  
Author(s):  
Habibur Rahman ◽  
Sergey A. Suslov
Keyword(s):  
Magnetic Field ◽  
Computational Cost ◽  
Three Dimensional ◽  
Vertical Layer ◽  
Gravitational Convection ◽  
Magnetic Parameters ◽  
Instability Modes ◽  
The Stability ◽  
Dimensional Instability ◽  
Oblique Magnetic Field

The stability of base gravitational convection in a layer of ferrofluid confined between two vertical wide and tall non-magnetic plates, heated from one side, cooled from the other and placed in a uniform oblique external magnetic field is studied. Two distinct mechanisms, thermo-gravitational and thermo-magnetic, are found to be responsible for the appearance of various stationary and wave-like instability modes. The characteristics of all instability modes are investigated as functions of the orientation angles of the applied magnetic field and its magnitude for various values of magnetic parameters when both the thermo-magnetic and gravitational buoyancy mechanisms are active. The original three-dimensional problem is cast in an equivalent two-dimensional form using generalised Squire’s transformations, which significantly reduces a computational cost. Subsequently, full three-dimensional instability patterns are recovered using the inverse Squire’s transformation, and the optimal field and pattern orientations are determined.

Effects of Three-Dimensional Pressure Gradients on High-Speed Turbulent Boundary Layers

2021 ◽  
Author(s):  
Scott J. Peltier ◽  
Brian E. Rice ◽  
Ethan Johnson ◽  
Venkateswaran Narayanaswamy ◽  
Marvin E. Sellers
Keyword(s):  
Boundary Layers ◽  
High Speed ◽  
Three Dimensional ◽  
Turbulent Boundary Layers ◽  
Pressure Gradients
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