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Research Papers: Forced Convection

Flow and Heat Transfer Over a Stretched Microsurface

[+] Author and Article Information
Suhil Kiwan1

Department of Mechanical Engineering, Jordan University of Science and Technology, P.O. Box 3030, Irbid, 22110, Jordankiwan@just.edu.jo

M. A. Al-Nimr

Department of Mechanical Engineering, Jordan University of Science and Technology, P.O. Box 3030, Irbid, 22110, Jordan

1

Corresponding author.

J. Heat Transfer 131(6), 061703 (Apr 09, 2009) (8 pages) doi:10.1115/1.3090811 History: Received May 24, 2008; Revised October 15, 2008; Published April 09, 2009

The convection heat transfer induced by a stretching flat plate has been studied. Similarity conditions are obtained for the boundary layer equations for a flat plate subjected to a power law temperature and velocity variations. It is found that a similarity solution exists only for a linearly stretching plate and only when the plate is isothermal. The analysis shows that three parameters control the flow and heat transfer characteristics of the problem. These parameters are the velocity slip parameter K1, the temperature slip parameter K2, and the Prandtl number. The effect of these parameters on the flow and heat transfer of the problem has been studied and presented. It is found that the slip velocity parameter affect both the flow and heat transfer characteristics of the problem. It is found that the skin friction coefficient decreases with increasing K1 and most of the changes in the skin friction takes place in the range 0<K1<1. A correlation between the skin friction coefficient and K1 and Rex has been found and presented. It is found that cf=23Rex0.5(K1+0.64)0.884 for 0<K1<10 with an error of ±0.8%. Other correlations between Nu and K1 and K2 has been found and presented in Eq. 28.

Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 13

Variation in the thermal boundary layer thickness with the variation of jump parameter K2 for different Prandtl numbers and K1=1

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Figure 14

Variation in skin friction parameter with the variation of slip parameter K1 for all values of Pr and K2

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Figure 15

Variation in Nusselt number with the variation of slip parameter K1 for different values of Pr and K2=1

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Figure 16

Variation in Nusselt number with the variation of jump parameter K2 for different values of Pr and K1=1

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Figure 1

Schematic for the problem under consideration

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Figure 2

Variation in the dimensionless transverse velocity distribution with the similarity parameter η at different slip parameter K1

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Figure 3

Variation in the dimensionless axial velocity distribution with the similarity parameter η at different slip parameter K1

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Figure 4

Variation in the dimensionless shear parameter distribution with the similarity parameter η at different slip parameter K1

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Figure 5

Variation in the dimensionless temperature distribution with the similarity parameter η at different slip parameter K1

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Figure 6

Variation in the dimensionless temperature gradient distribution with the similarity parameter η at different slip parameter K1

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Figure 7

Variation in the dimensionless temperature distribution with the similarity parameter η at different jump parameters K2, K1=1, Pr=1

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Figure 8

Variation in the dimensionless temperature gradient distribution with the similarity parameter η at different jump parameters K2, K1=1, Pr=1

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Figure 9

Variation in the dimensionless temperature distribution with the similarity parameter η at different Prandtl numbers for K1=1, K2=0.5

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Figure 10

Variation in the dimensionless temperature gradient with the similarity parameter η at different Prandtl numbers for K1=1, and K2=0.5

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Figure 11

Variation in the displacement thickness with the variation in the slip parameter K1 for all values of K2 and Pr

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Figure 12

Variation in the thermal boundary layer thickness with the variation of slip parameter K1 for different Prandtl numbers and K2=1

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