Skip to content

Research at St Andrews

Analytical solution to heat transfer in compressible laminar flow in a flat minichannel

Research output: Contribution to journalArticle

Author(s)

Cheng Bao, Zeyi Jiang, Xinxin Zhang, John T. S. Irvine

School/Research organisations

Abstract

Heat transfer in compressible laminar flow in mini-/micro-channels, a classical and general topic in fields of fuel cells, electronics, micro heat exchanger, etc., is revisited. Based on a two-dimensional continuum flow model, analytical solutions of the dimensionless model are achieved in closed-form symbolic algebras of Whittaker eigenfunctions, corresponding to two kinds of boundary conditions with arbitrarily prescribed wall temperature or wall heat flux. As the eigenvalues and eigenfunctions are independent on the dimensionless quantities, which influence the along-the-channel behaviors, the algorithm reveals the common features of compressible laminar thermal flows. The algorithms do not require the assumption of a linear pressure distribution, which is proved to be untenable in some cases (e.g. constant wall heat flux). The algorithms are validated well by the exact (numerical) computations in exemplary cases of both small and moderate Reynolds number, Mach number and Eckert number of air. Although expressed in a series of eigenfunctions, only several terms (sometimes one or two terms) of solutions are required for a practical computation.
Close

Details

Original languageEnglish
Pages (from-to)975-988
Number of pages14
JournalInternational Journal of Heat and Mass Transfer
Volume127
Issue numberPart C
Early online date28 Aug 2018
DOIs
Publication statusPublished - Dec 2018

    Research areas

  • Minichannel, Heat transfer, Compressible laminar flow, Analytical solution, Whittaker function

Discover related content
Find related publications, people, projects and more using interactive charts.

View graph of relations

Related by author

  1. Lattice strain-enhanced exsolution of nanoparticles in thin films

    Han, H., Park, J., Nam, S. Y., Choi, G. M., Parkin, S. S. P., Jang, H. M. & Irvine, J. T. S., 1 Apr 2019, In : Nature Communications. 10, 8 p., 1471.

    Research output: Contribution to journalArticle

  2. Oxygen storage capacity and thermal stability of brownmillerite-type Ca2(Al1-xGax)MnO5+δ oxides

    Huang, X., Ni, C. & Irvine, J. T. S., 14 Aug 2019, In : Journal of Alloys and Compounds. 810, 151865.

    Research output: Contribution to journalArticle

  3. Synthesis and electrochemical characterization of La0.75Sr0.25Mn0.5Cr0.5‐xAlxO3, for IT- and HT- SOFCs

    Abdalla, A. M., Kamel, M., Hossain, S., Irvine, J. T. S. & Azad, A. K., 12 Sep 2019, In : International Journal of Applied Ceramic Technology. Early View

    Research output: Contribution to journalArticle

  4. Enhanced cycling performance of magnesium doped lithium cobalt phosphate

    Kim, E. J., Miller, D., Irvine, J. T. S. & Armstrong, A. R., 11 Sep 2019, (Accepted/In press) In : ChemElectroChem. In press

    Research output: Contribution to journalArticle

  5. Photo-catalytic hydrogen production over Au/g-C3N4: effect of gold particle dispersion and morphology

    Caux, M., Menard, H., AlSalik, Y. M., Irvine, J. T. S. & Idriss, H., 7 Aug 2019, In : Physical Chemistry Chemical Physics. 21, 29, p. 15974-15987 14 p.

    Research output: Contribution to journalArticle

Related by journal

  1. Linear stability of natural convection in superposed fluid and porous layers: influence of the interfacial modelling

    Hirata, SC., Goyeau, B., Gobin, D., Carr, M. & Cotta, RM., Apr 2007, In : International Journal of Heat and Mass Transfer. 50, 7-8, p. 1356-1367 12 p.

    Research output: Contribution to journalArticle

ID: 255606953