scholarly journals Unsteady stagnation-point boundary layer flows of power-law fluids over a porous flat plate

2020 ◽  
Vol 2 (9) ◽  
Author(s):  
S. Dholey
Keyword(s):  
Boundary Layer ◽  
Flat Plate ◽  
Stagnation Point ◽  
Power Law ◽  
Point Boundary ◽  
Boundary Layer Flows ◽  
Power Law Fluids ◽  
Porous Flat Plate

Lie Symmetry Analysis of Boundary Layer Stagnation-Point Flow and Heat Transfer of Non-Newtonian Power-Law Fluids Over a Nonlinearly Shrinking/Stretching Sheet with Thermal Radiation

2018 ◽  
Vol 19 (3-4) ◽  
pp. 415-426 ◽  
Author(s):  
G.C. Layek ◽  
Bidyut Mandal ◽  
Krishnendu Bhattacharyya ◽  
Astick Banerjee
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Thermal Radiation ◽  
Stagnation Point ◽  
Power Law ◽  
Stretching Sheet ◽  
Symmetry Analysis ◽  
Flow And Heat Transfer ◽  
Power Law Fluids ◽  
Self Similar

AbstractA symmetry analysis of steady two-dimensional boundary layer stagnation-point flow and heat transfer of viscous incompressible non-Newtonian power-law fluids over a nonlinearly shrinking/stretching sheet with thermal radiation effect is presented. Lie group of continuous symmetry transformations is employed to the boundary layer flow and heat transfer equations, that gives scaling laws and self-similar equations for a special type of shrinking/stretching velocity ($c{x^{1/3}}$) and free-stream straining velocity ($a{x^{1/3}}$) along the axial direction to the sheet. The self-similar equations are solved numerically using very efficient shooting method. For the above nonlinear velocities, the unique self-similar solution is obtained for straining velocity being always less than the shrinking/stretching velocity for Newtonian and non-Newtonian power-law fluids. The thickness of velocity boundary layer becomes thinner with power-law index for shrinking as well as stretching sheet cases. Also, the thermal boundary layer thickness decreases with increasing values the Prandtl number and the radiation parameter.

Transient Extinction of Counter flow Diffusion Flame

1982 ◽  
Vol 24 (3) ◽  
pp. 113-117 ◽  
Author(s):  
T. Saitoh ◽  
S. Ishiguro
Keyword(s):  
Boundary Layer ◽  
Stagnation Point ◽  
Diffusion Flame ◽  
Transient Analysis ◽  
Linear Time ◽  
Point Boundary ◽  
Boundary Layer Flows ◽  
Counter Flow ◽  
Acceleration And Deceleration ◽  
Point Velocity

A transient analysis was performed for extinction of the counter flow diffusion flame utilizing the assumptions of inviscid, incompressible, and laminar stagnation-point boundary layer flows. The unsteadiness was induced via linear time variation of the stagnation point velocity gradient. The physical meaning of the middle solution of the quasi-steady theory was clarified. The effects of acceleration and deceleration of the flow were examined and it was found that strong acceleration tends to support the flame up to a small Damkohler number, which implies that the flame strength becomes large for flames under acceleration.

scholarly journals On the stability of the BEK family of rotating boundary-layer flows for power-law fluids

2016 ◽  
Vol 236 ◽  
pp. 63-72 ◽  
Author(s):  
M.A. Abdulameer ◽  
P.T. Griffiths ◽  
B. Alveroğlu ◽  
S.J. Garrett
Keyword(s):  
Boundary Layer ◽  
Power Law ◽  
Boundary Layer Flows ◽  
Power Law Fluids ◽  
Rotating Boundary ◽  
The Stability
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