Interfacial dynamics in pressure-driven two-layer laminar channel flow with high viscosity ratios

2007 ◽  
Vol 75 (5) ◽  
Author(s):  
O. K. Matar ◽  
C. J. Lawrence ◽  
G. M. Sisoev
Keyword(s):  
Channel Flow ◽  
High Viscosity ◽  
Interfacial Dynamics ◽  
Laminar Channel Flow ◽  
Pressure Driven

Nonlinear instability of interfacial waves in stratified laminar channel flow

2020 ◽  
Vol 133 ◽  
pp. 103463
Author(s):  
Deibi E. García ◽  
Daniel Rodríguez ◽  
Angela O. Nieckele ◽  
Igor Braga de Paula
Keyword(s):  
Channel Flow ◽  
Nonlinear Instability ◽  
Interfacial Waves ◽  
Laminar Channel Flow

Heat Transfer in a Laminar Channel Flow Generated by Injection Through Porous Walls

2007 ◽  
Vol 129 (8) ◽  
pp. 1048-1057 ◽  
Author(s):  
Clarisse Fournier ◽  
Marc Michard ◽  
Françoise Bataille
Keyword(s):  
Channel Flow ◽  
Numerical Solutions ◽  
Scaling Law ◽  
Similarity Solutions ◽  
Temperature Profiles ◽  
Governing Equations ◽  
Temperature Boundary ◽  
Laminar Channel Flow ◽  
Porous Walls ◽  
Uniform Fluid

Steady state similarity solutions are computed to determine the temperature profiles in a laminar channel flow driven by uniform fluid injection at one or two porous walls. The temperature boundary conditions are non-symmetric. The numerical solution of the governing equations permit to analyze the influence of the governing parameters, the Reynolds and Péclet numbers. For both geometries, we deduce a scaling law for the boundary layer thickness as a function of the Péclet number. We also compare the numerical solutions with asymptotic expansions in the limit of large Péclet numbers. Finally, for non-symmetric injection, we derive from the computed temperature profile a relationship between the Nusselt and Péclet numbers.

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