Convective heat transfer in microchannels of noncircular cross sections: An analytical approach

S. Shahsavari, A. Tamayol, E. Kjeang, M. Bahrami

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

Analytical solutions are presented for velocity and temperature distributions of laminar fully developed flow of Newtonian, constant property fluids in micro/minichannels of hyperelliptical and regular polygonal cross sections. The considered geometries cover several common shapes such as ellipse, rectangle, rectangle with round corners, rhombus, star-shape, and all regular polygons. The analysis is carried out under the conditions of constant axial wall heat flux with uniform peripheral heat flux at a given cross section. A linear least squares point matching technique is used to minimize the residual between the actual and the predicted values on the boundary of the channel. Hydrodynamic and thermal characteristics of the flow are derived; these include pressure drop and local and average Nusselt numbers. The proposed results are successfully verified with existing analytical and numerical solutions from the literature for a variety of cross sections. The present study provides analytical-based compact solutions for velocity and temperature fields that are essential for basic designs, parametric studies, and optimization analyses required for many thermofluidic applications.

Original languageEnglish (US)
Article number91701
JournalJournal of Heat Transfer
Volume134
Issue number9
DOIs
StatePublished - Jul 9 2012

Fingerprint

convective heat transfer
microchannels
Microchannels
Heat flux
Temperature distribution
rectangles
Heat transfer
heat flux
cross sections
temperature distribution
Nusselt number
velocity distribution
Velocity distribution
Stars
Pressure drop
Hydrodynamics
polygons
ellipses
pressure drop
Fluids

Keywords

  • forced convection
  • fully developed flow
  • mini/microchannels
  • noncircular channels

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Convective heat transfer in microchannels of noncircular cross sections : An analytical approach. / Shahsavari, S.; Tamayol, A.; Kjeang, E.; Bahrami, M.

In: Journal of Heat Transfer, Vol. 134, No. 9, 91701, 09.07.2012.

Research output: Contribution to journalArticle

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