Analytical solutions for laminar fully-developed flow in microchannels with non-circular cross-section

A. Tamayol; M. Bahrami

doi:10.1115/FEDSM2009-78167

Analytical solutions for laminar fully-developed flow in microchannels with non-circular cross-section

A. Tamayol, M. Bahrami

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

5 Scopus citations

Abstract

Analytical solutions are presented for laminar fully-developed flow in micro/minichannels of hyperelliptical and regular polygonal cross-sections. The considered geometries cover a wide range of common simply connected shapes including circle, ellipse, rectangle, rhomboid, star-shape, equilateral triangle, square, pentagon, and hexagon. Therefore, the present approach can be considered as a general solution. Predicted results for the velocity distribution and pressure drop are successfully compared with existing analytical solutions and experimental data collected from various sources for a variety of geometries, including: polygonal, rectangular, circular, elliptical, and rhombic cross-sections.

Original language	English (US)
Title of host publication	Proceedings of the ASME Fluids Engineering Division Summer Conference 2009, FEDSM2009
Pages	1323-1333
Number of pages	11
Edition	PART B
DOIs	https://doi.org/10.1115/FEDSM2009-78167
State	Published - 2009
Externally published	Yes
Event	2009 ASME Fluids Engineering Division Summer Conference, FEDSM2009 - Vail, CO, United States Duration: Aug 2 2009 → Aug 6 2009

Publication series

Name	Proceedings of the ASME Fluids Engineering Division Summer Conference 2009, FEDSM2009
Number	PART B
Volume	1

Other

Other	2009 ASME Fluids Engineering Division Summer Conference, FEDSM2009
Country/Territory	United States
City	Vail, CO
Period	8/2/09 → 8/6/09

ASJC Scopus subject areas

Fluid Flow and Transfer Processes
Mechanical Engineering

Access to Document

10.1115/FEDSM2009-78167

Cite this

Tamayol, A., & Bahrami, M. (2009). Analytical solutions for laminar fully-developed flow in microchannels with non-circular cross-section. In Proceedings of the ASME Fluids Engineering Division Summer Conference 2009, FEDSM2009 (PART B ed., pp. 1323-1333). (Proceedings of the ASME Fluids Engineering Division Summer Conference 2009, FEDSM2009; Vol. 1, No. PART B). https://doi.org/10.1115/FEDSM2009-78167

Analytical solutions for laminar fully-developed flow in microchannels with non-circular cross-section. / Tamayol, A.; Bahrami, M.

Proceedings of the ASME Fluids Engineering Division Summer Conference 2009, FEDSM2009. PART B. ed. 2009. p. 1323-1333 (Proceedings of the ASME Fluids Engineering Division Summer Conference 2009, FEDSM2009; Vol. 1, No. PART B).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Tamayol, A & Bahrami, M 2009, Analytical solutions for laminar fully-developed flow in microchannels with non-circular cross-section. in Proceedings of the ASME Fluids Engineering Division Summer Conference 2009, FEDSM2009. PART B edn, Proceedings of the ASME Fluids Engineering Division Summer Conference 2009, FEDSM2009, no. PART B, vol. 1, pp. 1323-1333, 2009 ASME Fluids Engineering Division Summer Conference, FEDSM2009, Vail, CO, United States, 8/2/09. https://doi.org/10.1115/FEDSM2009-78167

Tamayol A, Bahrami M. Analytical solutions for laminar fully-developed flow in microchannels with non-circular cross-section. In Proceedings of the ASME Fluids Engineering Division Summer Conference 2009, FEDSM2009. PART B ed. 2009. p. 1323-1333. (Proceedings of the ASME Fluids Engineering Division Summer Conference 2009, FEDSM2009; PART B). https://doi.org/10.1115/FEDSM2009-78167

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Analytical solutions for laminar fully-developed flow in microchannels with non-circular cross-section

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