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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v30.i1.10
10 pages

Investigation of Forsed Convection in an Almost Circular Microtube with Rough Walls

D A Nield
University of Auckland Auckland, New Zealand
Andrey V Kuznetsov
Department of Mechanical and Aerospace Engineering, North Carolina State University, Campus Box 7910, Raleigh, NC 27695-7910, USA

ABSTRACT

Steady laminar flow of an incompressible fluid through a tube of almost circular cross-section is examined analytically, first for the case of a tube whose wall is wavy in the azimuthal direction, and then for one wavy in the axial direction. For the first case, a complete solution of the flow and forced convection heat transfer (for constant flux at the boundary) is possible for a wall of arbitrary cross-section. It is shown that, for a fixed axial pressure gradient, any departure from circularity leads to a reduction in volume flux and a reduction in heat transfer. For the second case no simple analytic solution is possible, but estimates of the increase in resistance due to a departure from circularity have been made.


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