Onset of longitudinal vortices in mixed convective flow over an inclined surface in a porous medium

Journal Article · Fri Aug 01 04:00:00 EDT 1980 · J. Heat Transfer; (United States)

DOI:https://doi.org/10.1115/1.3244338· OSTI ID:6115646

Hsu, C T; Cheng, P

The conditions marking the onset of vortex instability in mixed convective flow over an inclined surface in a saturated porous medium are investigated by means of a linear stability analysis. The basic state is assumed to be the steady 2-dimensional boundary layer flow. The 3-dimensional perturbation equations are simplified on the basis of a scaling argument whereby most of the streamwise derivaties of the disturbances are found to be negligible. For vortex disturbances, the resulting simplified equations in terms of the amplitude are solved approximately by the local similarity method. The Eigenvalue problem is solved numerically for the cases of (1) an inclined surface at constant wall temperature with free stream velocity at zero angle of incidence with the inclined surface and (2) an inclined surface with constant heat flux with free stream velocity at 45 with respect to the inclined surface. Both aiding and opposing external flows are considered. The critical parameters and the critical wave numbers of disturbances for the 2 cases are obtained. It is found that the effect of the external flow is to suppress the growth of vortex disturbances in both aiding and opposing flows. 11 references.

• OSTI ID: 6115646
• Journal Information: J. Heat Transfer; (United States), Journal Name: J. Heat Transfer; (United States) Vol. 102:3; ISSN JHTRA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
AQUIFERS
BOUNDARY LAYERS
CONVECTION
EIGENVALUES
ENERGY TRANSFER
FLUID FLOW
FLUID INJECTION
GEOLOGIC STRATA
GEOLOGIC STRUCTURES
GROUND WATER
HEAT TRANSFER
HYDROGEN COMPOUNDS
INCLINED STRATA
LAYERS
MASS TRANSFER
MATERIALS
OXYGEN COMPOUNDS
POROUS MATERIALS
STABILITY
STEAM INJECTION
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
VORTEX FLOW
WATER