Effect of large bulk viscosity on large-Reynolds-number flows. (25th July 2014)

• Record Type: Journal Article
• Authors: Cramer, M. S.; Bahmani, F.
• Is Part Of: Journal of fluid mechanics. Volume 751(2014:Jul.)
• Page Start: 142
• Page End: 163
• Publication Date: 2014-07-25
• Subjects: Fluid mechanics -- Periodicals; 532.005
• DOI: 10.1017/jfm.2014.294
• Languages: English
• ISSNs: 0022-1120

Abstract

<abstract> <title>Abstract</title> <p>We examine the inviscid and boundary-layer approximations in fluids having bulk viscosities which are large compared with their shear viscosities for three-dimensional steady flows over rigid bodies. We examine the first-order corrections to the classical lowest-order inviscid and laminar boundary-layer flows using the method of matched asymptotic expansions. It is shown that the effects of large bulk viscosity are non-negligible when the ratio of bulk to shear viscosity is of the order of the square root of the Reynolds number. The first-order outer flow is seen to be rotational, non-isentropic and viscous but nevertheless slips at the inner boundary. First-order corrections to the boundary-layer flow include a variation of the thermodynamic pressure across the boundary layer and terms interpreted as heat sources in the energy equation. The latter results are a generalization and verification of the predictions of Emanuel (<italic>Phys. Fluids</italic> A, vol. 4, 1992, pp. 491–495).</p> </abstract>