This paper studies the transient slip flow and heat transfer of a fluid driven by the oscillatory pressure gradient in a microchannel of elliptic cross section. The boundary value problem for the thermal-slip flow is formulated based on the assumption that the fluid flow is fully developed. The semi-analytical solutions of velocity and temperature fields are then determined by the Ritz method. These solutions include some existing known examples as special cases. The effects of the slip length and the ratio of minor to major axis of the elliptic cross section on the velocity and temperature distribution in the microchannel are investigated.
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Stanford Univ, Dept Chem Engn, Stanford, CA 94305 USAStanford Univ, Dept Chem Engn, Stanford, CA 94305 USA
Barakat, Joseph M.
Ahmmed, Shamim M.
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Texas Tech Univ, Dept Chem Engn, Lubbock, TX 79409 USAStanford Univ, Dept Chem Engn, Stanford, CA 94305 USA
Ahmmed, Shamim M.
Vanapalli, Siva A.
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Texas Tech Univ, Dept Chem Engn, Lubbock, TX 79409 USAStanford Univ, Dept Chem Engn, Stanford, CA 94305 USA
Vanapalli, Siva A.
Shaqfeh, Eric S. G.
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Stanford Univ, Dept Chem Engn, Stanford, CA 94305 USA
Stanford Univ, Dept Mech Engn, Stanford, CA 94305 USA
Stanford Univ, Inst Computat & Math Engn, Stanford, CA 94305 USAStanford Univ, Dept Chem Engn, Stanford, CA 94305 USA