This study examines the effects of rarefaction of an unsteady flow through a microtube for a given but arbitrary inlet volume flow rate. Four cases of inlet volume flow rate proposed by Das and Arakeri (2000, ASME J. Appl. Mech., 67, pp. 274–281) are as follows: (1) trapezoidal piston motion, (2) constant acceleration, (3) impulsively started flow, and (4) impulsively blocked fully developed flow. During the analysis process, the Knudsen number (Kn) is used to represent the degree of rarefaction. The analytical results are presented graphically and compared to the results for a continuum under a no-slip condition. The effect of wall-slip became significant with the increasing degrees of rarefaction. The velocity in the boundary layer increased, whereas the velocity in the potential core of the microtube decreased, under the same condition. The influence of the rarefaction for the pressure gradient varied for the four cases.
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e-mail: ckchen@imail.ncku.edu.tw
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January 2008
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Analysis of Unsteady Flow Through a Microtube With Wall Slip and Given Inlet Volume Flow Rate Variations
Chun-I Chen,
Chun-I Chen
Department of Industrial Engineering and Management,
I-Shou University
, No. 1, Sec. 1, Syuecheng Road, Dashu Township, Kaohsiung County, Taiwan 84041
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Cha’o-Kuang Chen,
Cha’o-Kuang Chen
Department of Mechanical Engineering,
e-mail: ckchen@imail.ncku.edu.tw
National Cheng Kung University
, Tainan, Taiwan 70101
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Heng-Ju Lin
Heng-Ju Lin
Department of Mechanical Engineering,
National Cheng Kung University
, Tainan, Taiwan 70101
Search for other works by this author on:
Chun-I Chen
Department of Industrial Engineering and Management,
I-Shou University
, No. 1, Sec. 1, Syuecheng Road, Dashu Township, Kaohsiung County, Taiwan 84041
Cha’o-Kuang Chen
Department of Mechanical Engineering,
National Cheng Kung University
, Tainan, Taiwan 70101e-mail: ckchen@imail.ncku.edu.tw
Heng-Ju Lin
Department of Mechanical Engineering,
National Cheng Kung University
, Tainan, Taiwan 70101J. Appl. Mech. Jan 2008, 75(1): 014506 (7 pages)
Published Online: February 6, 2008
Article history
Received:
March 8, 2005
Revised:
April 25, 2007
Published:
February 6, 2008
Citation
Chen, C., Chen, C., and Lin, H. (February 6, 2008). "Analysis of Unsteady Flow Through a Microtube With Wall Slip and Given Inlet Volume Flow Rate Variations." ASME. J. Appl. Mech. January 2008; 75(1): 014506. https://doi.org/10.1115/1.2755085
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