On the O.D.E. of stagnation point flows of power law fluids

Robert A. Spinelli

doi:10.1007/bf01595040

On the O.D.E. of stagnation point flows of power law fluids

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf01595040 ◽

1969 ◽

Vol 20 (4) ◽

pp. 479-486 ◽

Cited By ~ 3

Author(s):

Robert A. Spinelli

Keyword(s):

Stagnation Point ◽

Power Law ◽

Power Law Fluids

Download Full-text

Axisymmetric stagnation point flow and mass transfer for power-law fluids

Journal of Non-Newtonian Fluid Mechanics ◽

10.1016/0377-0257(82)80005-0 ◽

1982 ◽

Vol 10 (3-4) ◽

pp. 281-290 ◽

Cited By ~ 1

Author(s):

James A. Trainham ◽

Richard Pollard

Keyword(s):

Mass Transfer ◽

Stagnation Point ◽

Power Law ◽

Stagnation Point Flow ◽

Power Law Fluids

Download Full-text

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

International Journal of Nonlinear Sciences and Numerical Simulation ◽

10.1515/ijnsns-2017-0211 ◽

2018 ◽

Vol 19 (3-4) ◽

pp. 415-426 ◽

Cited By ~ 1

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.

Download Full-text