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Journal of Applied Mechanics | Volume 72 | Issue 4 | TECHNICAL PAPERS
TECHNICAL PAPERS

Nonclassical Thermal Effects in Stokes’ Second Problem for Micropolar Fluids

[+] Author and Article Information
F. S. Ibrahem1

 Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egyptfibrahim@acc.aun.edu.eg

I. A. Hassanien

 Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt

A. A. Bakr

 Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt

1

To whom correspondence should be addressed.

J. Appl. Mech 72(4), 468-474 (Aug 16, 2004) (7 pages) doi:10.1115/1.1875412 History: Received January 24, 2004; Revised August 16, 2004
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The MCF model is used to study the nonclassical heat conduction effects in Stokes’ second problem of a micropolar fluid. The effects of the thermal relaxation time and the structure wave on angular velocity, velocity field, and temperature are investigated. The skin friction, the displacement thickness, and the rate of the heat transfer at the plate are determined.
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Copyright © 2005 by American Society of Mechanical Engineers
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References

Figures

Grahic Jump Location
+Behavior of ∣N∣ versus z for p=1, ω=1000, t=0.1, λ=0.005, G=5 and β=2.5, 5, 13.5, and 50
View Large  |  Save Figure  |  Download Slide (.ppt)
Behavior of ∣N∣ versus z for p=1, ω=1000, t=0.1, λ=0.005, G=5 and β=2.5, 5, 13.5, and 50
Figure 8

Behavior of ∣N∣ versus z for p=1, ω=1000, t=0.1, λ=0.005, G=5 and β=2.5, 5, 13.5, and 50

Grahic Jump Location
+Behavior of Reu versus z for p=1, ω=1000, t=0.1, λ=0.005, G=5.0 and β=0, 5, 13.5 and 50
View Large  |  Save Figure  |  Download Slide (.ppt)
Behavior of Reu versus z for p=1, ω=1000, t=0.1, λ=0.005, G=5.0 and β=0, 5, 13.5 and 50
Figure 1

Behavior of Reu versus z for p=1, ω=1000, t=0.1, λ=0.005, G=5.0 and β=0, 5, 13.5 and 50

Grahic Jump Location
+Behavior of ∣u∣ versus z for p=1, ω=1000, t=0.1, λ=0.005, G=5.0 and β=0.5, 5, and 50
View Large  |  Save Figure  |  Download Slide (.ppt)
Behavior of ∣u∣ versus z for p=1, ω=1000, t=0.1, λ=0.005, G=5.0 and β=0.5, 5, and 50
Figure 2

Behavior of ∣u∣ versus z for p=1, ω=1000, t=0.1, λ=0.005, G=5.0 and β=0.5, 5, and 50

Grahic Jump Location
+Behavior of Reu versus z for p=1.0, ω=10.0, t=0.1, λ=0.005, β=0.2, and G=±5
View Large  |  Save Figure  |  Download Slide (.ppt)
Behavior of Reu versus z for p=1.0, ω=10.0, t=0.1, λ=0.005, β=0.2, and G=±5
Figure 3

Behavior of Reu versus z for p=1.0, ω=10.0, t=0.1, λ=0.005, β=0.2, and G=±5

Grahic Jump Location
+Behavior of ∣u∣ versus z for p=1, ω=10.0, t=0.1, λ=0.005, β=0.2, and G=±5
View Large  |  Save Figure  |  Download Slide (.ppt)
Behavior of ∣u∣ versus z for p=1, ω=10.0, t=0.1, λ=0.005, β=0.2, and G=±5
Figure 4

Behavior of ∣u∣ versus z for p=1, ω=10.0, t=0.1, λ=0.005, β=0.2, and G=±5

Grahic Jump Location
+Behavior of Reu versus zforp=1.0, ω=1000.0, t=0.1, λ=0.005, β=0.2, and G=±5
View Large  |  Save Figure  |  Download Slide (.ppt)
Behavior of Reu versus zforp=1.0, ω=1000.0, t=0.1, λ=0.005, β=0.2, and G=±5
Figure 5

Behavior of Reu versus zforp=1.0, ω=1000.0, t=0.1, λ=0.005, β=0.2, and G=±5

Grahic Jump Location
+Behavior of ∣u∣ versus z for p=1, ω=1000, t=0.10, λ=0.005, β=0.2 and G=±5
View Large  |  Save Figure  |  Download Slide (.ppt)
Behavior of ∣u∣ versus z for p=1, ω=1000, t=0.10, λ=0.005, β=0.2 and G=±5
Figure 6

Behavior of ∣u∣ versus z for p=1, ω=1000, t=0.10, λ=0.005, β=0.2 and G=±5

Grahic Jump Location
+Behavior of ReN versus z for p=1, ω=1000, t=0.1, λ=0.005, G=5 and β=2.5, 5, 13.5, and 50
View Large  |  Save Figure  |  Download Slide (.ppt)
Behavior of ReN versus z for p=1, ω=1000, t=0.1, λ=0.005, G=5 and β=2.5, 5, 13.5, and 50
Figure 7

Behavior of ReN versus z for p=1, ω=1000, t=0.1, λ=0.005, G=5 and β=2.5, 5, 13.5, and 50

Grahic Jump Location
+Behavior of ReN versus z for p=1, ω=10, t=0.1, λ=0.005, β=0.2, and G=±5
View Large  |  Save Figure  |  Download Slide (.ppt)
Behavior of ReN versus z for p=1, ω=10, t=0.1, λ=0.005, β=0.2, and G=±5
Figure 9

Behavior of ReN versus z for p=1, ω=10, t=0.1, λ=0.005, β=0.2, and G=±5

Grahic Jump Location
+Behavior of ∣N∣ versus z for p=1, ω=10, t=0.1, λ=0.005, β=0.2, and G=±5
View Large  |  Save Figure  |  Download Slide (.ppt)
Behavior of ∣N∣ versus z for p=1, ω=10, t=0.1, λ=0.005, β=0.2, and G=±5
Figure 10

Behavior of ∣N∣ versus z for p=1, ω=10, t=0.1, λ=0.005, β=0.2, and G=±5

Grahic Jump Location
+Behavior of ReN versus z for p=1, ω=1000, t=0.1, λ=0.005, β=0.2, and G=±5
View Large  |  Save Figure  |  Download Slide (.ppt)
Behavior of ReN versus z for p=1, ω=1000, t=0.1, λ=0.005, β=0.2, and G=±5
Figure 11

Behavior of ReN versus z for p=1, ω=1000, t=0.1, λ=0.005, β=0.2, and G=±5

Grahic Jump Location
+Behavior of ∣N∣ versus z for p=1, ω=1000, t=0.1, λ=0.005, β=0.2, and G=±5
View Large  |  Save Figure  |  Download Slide (.ppt)
Behavior of ∣N∣ versus z for p=1, ω=1000, t=0.1, λ=0.005, β=0.2, and G=±5
Figure 12

Behavior of ∣N∣ versus z for p=1, ω=1000, t=0.1, λ=0.005, β=0.2, and G=±5

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