scholarly journals Scalings for unsteady natural convection boundary layer under time-varying heating flux in a small Prandtl number fluid

2021 ◽  
pp. 101351
Author(s):  
Wenxian Lin ◽  
S.W. Armfield ◽  
Mehdi Khatamifar
Keyword(s):  
Boundary Layer ◽  
Natural Convection ◽  
Prandtl Number ◽  
Convection Boundary Layer ◽  
Time Varying ◽  
Convection Boundary ◽  
Unsteady Natural Convection

scholarly journals Scaling Analysis of the Unsteady Natural Convection Boundary Layer Adjacent to an Inclined Plate for Pr > 1 Following Instantaneous Heating

2011 ◽  
Vol 133 (11) ◽  
Author(s):  
Suvash C. Saha ◽  
Feng Xu ◽  
Md Mamun Molla
Keyword(s):  
Boundary Layer ◽  
Natural Convection ◽  
Numerical Simulations ◽  
Direct Numerical Simulations ◽  
Convection Boundary Layer ◽  
Scaling Analysis ◽  
Inclined Plate ◽  
Wide Range ◽  
Convection Boundary ◽  
Unsteady Natural Convection

The unsteady natural convection boundary layer adjacent to an instantaneously heated inclined plate is investigated using an improved scaling analysis and direct numerical simulations. The development of the unsteady natural convection boundary layer following instantaneous heating may be classified into three distinct stages including a start-up stage, a transitional stage, and a steady state stage, which can be clearly identified in the analytical and numerical results. Major scaling relations of the velocity and thicknesses and the flow development time of the natural convection boundary layer are obtained using triple-layer integral solutions and verified by direct numerical simulations over a wide range of flow parameters.

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