scholarly journals A Numerical Approach to Slip Flow of a Micropolar Fluid above A Flat Permeable Contracting Surface

2021 ◽  
Vol 26 (2) ◽  
pp. 173-185
Author(s):  
R. Parthiban ◽  
G. Palani ◽  
Seema Tinker ◽  
R. P. Sharma
Keyword(s):  
Mathematical Modeling ◽  
Stagnation Point ◽  
Micropolar Fluid ◽  
Couple Stress ◽  
Slip Flow ◽  
Numerical Approach ◽  
Numerical Results ◽  
Polar Liquid ◽  
Stagnation Point Flow ◽  
Physical Quantities

Abstract A plain linear penetrable contracting sheet with slip over a micro-polar liquid with a stagnation-point flow is analyzed. Through similarity mapping, the mathematical modeling statements are transformed as ODE’s and numerical results are found by shooting techniques. The varying impacts of physical quantities on the momentum, micro-rotation, and temperature were demonstrated through graphs. The computed measures including shear and couple stress with distinct measures of factors involved in this proposed problem are presented through a table.

THREE-DIMENSIONAL STAGNATION-POINT FLOW OVER A PERMEABLE STRETCHING/SHRINKING SHEET WITH A SECOND ORDER SLIP FLOW

2021 ◽  
Vol 10 (9) ◽  
pp. 3273-3282
Author(s):  
M.E.H. Hafidzuddin ◽  
R. Nazar ◽  
N.M. Arifin ◽  
I. Pop
Keyword(s):  
Differential Equations ◽  
Stagnation Point ◽  
Flow Model ◽  
Nonlinear Partial Differential Equations ◽  
Slip Flow ◽  
Three Dimensional ◽  
Flow Characteristics ◽  
Second Order ◽  
Stagnation Point Flow ◽  
Shrinking Sheet

The problem of steady laminar three-dimensional stagnation-point flow on a permeable stretching/shrinking sheet with second order slip flow model is studied numerically. Similarity transformation has been used to reduce the governing system of nonlinear partial differential equations into the system of ordinary (similarity) differential equations. The transformed equations are then solved numerically using the \texttt{bvp4c} function in MATLAB. Multiple solutions are found for a certain range of the governing parameters. The effects of the governing parameters on the skin friction coefficients and the velocity profiles are presented and discussed. It is found that the second order slip flow model is necessary to predict the flow characteristics accurately.

Stagnation point flow of a micropolar fluid towards a stretching sheet

2004 ◽  
Vol 39 (7) ◽  
pp. 1227-1235 ◽  
Author(s):  
Roslinda Nazar ◽  
Norsarahaida Amin ◽  
Diana Filip ◽  
Ioan Pop
Keyword(s):  
Stagnation Point ◽  
Micropolar Fluid ◽  
Stretching Sheet ◽  
Stagnation Point Flow
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