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# 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

## Abstract

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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## Figures

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

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

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

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

Figure 5

Behavior of Reu versus zforp=1.0, ω=1000.0, t=0.1, 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

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

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

Figure 9

Behavior of ReN 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

Figure 11

Behavior of ReN 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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