A total concentration fixed-grid method is presented in this paper to model the two-dimensional wet chemical etching. Two limiting cases are discussed, namely—the diffusion-controlled etching and the reaction-controlled etching. A total concentration, which is the sum of the unreacted and the reacted etchant concentrations, is defined. Using this newly defined total concentration, the governing equation also contains the interface condition. A new update procedure for the reacted concentration is formulated. For demonstration, the finite-volume method is used to solve the governing equation with prescribed initial and boundary conditions. The effects of reaction rate at the etchant–substrate interface are examined. The results obtained using the total concentration method, are compared with available results from the literature.
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e-mail: mckchai@ntu.edu.sg
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A Total Concentration Fixed-Grid Method for Two-Dimensional Wet Chemical Etching
P. Rath,
P. Rath
Department of Mechanical Engineering,
National Institute of Technology
, Rourkela, India 769008
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J. C. Chai,
J. C. Chai
ASME Fellow
School of Mechanical and Aerospace Engineering,
e-mail: mckchai@ntu.edu.sg
Nanyang Technological University
, 50 Nanyang Avenue, Singapore 639798, Singapore
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Y. C. Lam,
Y. C. Lam
School of Mechanical and Aerospace Engineering,
Nanyang Technological University
, 50 Nanyang Avenue, Singapore 639798, Singapore
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V. M. Murukeshan,
V. M. Murukeshan
School of Mechanical and Aerospace Engineering,
Nanyang Technological University
, 50 Nanyang Avenue, Singapore 639798, Singapore
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H. Zheng
H. Zheng
Singapore Institute of Manufacturing Technology
, Singapore 638075, Singapore
Search for other works by this author on:
P. Rath
Department of Mechanical Engineering,
National Institute of Technology
, Rourkela, India 769008
J. C. Chai
ASME Fellow
School of Mechanical and Aerospace Engineering,
Nanyang Technological University
, 50 Nanyang Avenue, Singapore 639798, Singaporee-mail: mckchai@ntu.edu.sg
Y. C. Lam
School of Mechanical and Aerospace Engineering,
Nanyang Technological University
, 50 Nanyang Avenue, Singapore 639798, Singapore
V. M. Murukeshan
School of Mechanical and Aerospace Engineering,
Nanyang Technological University
, 50 Nanyang Avenue, Singapore 639798, Singapore
H. Zheng
Singapore Institute of Manufacturing Technology
, Singapore 638075, SingaporeJ. Heat Transfer. Apr 2007, 129(4): 509-516 (8 pages)
Published Online: October 21, 2006
Article history
Received:
June 15, 2005
Revised:
October 21, 2006
Citation
Rath, P., Chai, J. C., Lam, Y. C., Murukeshan, V. M., and Zheng, H. (October 21, 2006). "A Total Concentration Fixed-Grid Method for Two-Dimensional Wet Chemical Etching." ASME. J. Heat Transfer. April 2007; 129(4): 509–516. https://doi.org/10.1115/1.2709654
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