# Unsteady Micropolar Fluid over a Permeable Curved Stretching Shrinking Surface

Siti Hidayah Muhad Saleh, Norihan Md Arifin, Roslinda Mohd. Nazar, Ioan Pop

Research output: Contribution to journalArticle

11 Citations (Scopus)

### Abstract

This work deals with the unsteady micropolar fluid over a permeable curved stretching and shrinking surface. Using similarity transformations, the governing boundary layer equations are transformed into the nonlinear ordinary (similarity) differential equations. The transformed equations are then solved numerically using the shooting method. The effects of the governing parameters on the skin friction and couple stress are illustrated graphically. The results reveal that dual solutions exist for stretching/shrinking surface as well as weak/strong concentration. A comparison with known results from the open literature has been done and it is shown to be in excellent agreement.

Original language English 3085249 Mathematical Problems in Engineering 2017 https://doi.org/10.1155/2017/3085249 Published - 2017

### Fingerprint

Micropolar Fluid
Shrinking
Stretching
Couple Stress
Dual Solutions
Fluids
Shooting Method
Skin Friction
Skin friction
Similarity Transformation
Ordinary differential equations
Boundary Layer
Boundary layers
Differential equation
Graphics
Similarity

### ASJC Scopus subject areas

• Mathematics(all)
• Engineering(all)

### Cite this

Unsteady Micropolar Fluid over a Permeable Curved Stretching Shrinking Surface. / Saleh, Siti Hidayah Muhad; Arifin, Norihan Md; Mohd. Nazar, Roslinda; Pop, Ioan.

In: Mathematical Problems in Engineering, Vol. 2017, 3085249, 2017.

Research output: Contribution to journalArticle

title = "Unsteady Micropolar Fluid over a Permeable Curved Stretching Shrinking Surface",
abstract = "This work deals with the unsteady micropolar fluid over a permeable curved stretching and shrinking surface. Using similarity transformations, the governing boundary layer equations are transformed into the nonlinear ordinary (similarity) differential equations. The transformed equations are then solved numerically using the shooting method. The effects of the governing parameters on the skin friction and couple stress are illustrated graphically. The results reveal that dual solutions exist for stretching/shrinking surface as well as weak/strong concentration. A comparison with known results from the open literature has been done and it is shown to be in excellent agreement.",
author = "Saleh, {Siti Hidayah Muhad} and Arifin, {Norihan Md} and {Mohd. Nazar}, Roslinda and Ioan Pop",
year = "2017",
doi = "10.1155/2017/3085249",
language = "English",
volume = "2017",
journal = "Mathematical Problems in Engineering",
issn = "1024-123X",
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AU - Saleh, Siti Hidayah Muhad

AU - Arifin, Norihan Md

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2017

Y1 - 2017

N2 - This work deals with the unsteady micropolar fluid over a permeable curved stretching and shrinking surface. Using similarity transformations, the governing boundary layer equations are transformed into the nonlinear ordinary (similarity) differential equations. The transformed equations are then solved numerically using the shooting method. The effects of the governing parameters on the skin friction and couple stress are illustrated graphically. The results reveal that dual solutions exist for stretching/shrinking surface as well as weak/strong concentration. A comparison with known results from the open literature has been done and it is shown to be in excellent agreement.

AB - This work deals with the unsteady micropolar fluid over a permeable curved stretching and shrinking surface. Using similarity transformations, the governing boundary layer equations are transformed into the nonlinear ordinary (similarity) differential equations. The transformed equations are then solved numerically using the shooting method. The effects of the governing parameters on the skin friction and couple stress are illustrated graphically. The results reveal that dual solutions exist for stretching/shrinking surface as well as weak/strong concentration. A comparison with known results from the open literature has been done and it is shown to be in excellent agreement.

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