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131.
D. A. S. Rees 《Transport in Porous Media》2009,77(2):243-265
We consider the flow and heat transfer caused by a strong external flow passing over a hot surface with uniform surface suction.
When the Péclet number based on the external velocity is sufficiently large, the resulting thermal boundary layer develops
in a nonsimilar manner until it attains an asymptotic state which is independent of the streamwise coordinate, x, when it is dominated by the surface suction. For sufficiently large, but moderate, values of the Darcy–Rayleigh number this
boundary layer becomes unstable to streamwise vortex disturbances. We employ a parabolic solver to determine how such disturbances,
when placed very close to the leading edge, evolve with distance downstream. Neutral stability is then defined to be when
a suitable energy functional ceases to decay/grow as x increases. Thus a neutral curve may be mapped out based upon the behaviour of this functional. Given that the uniform asymptotic
state is well known to admit subcritical instabilities, our linearised analysis is extended into the nonlinear domain and
the effect of different magnitudes of disturbance is ascertained. It is found that a surprisingly rich variety of vortex pattern
emerges which is sometimes sensitively dependent on the values of the governing parameters. These patterns include wavy vortices
and abrupt changes in perceived wavelength. 相似文献
132.
133.
The steady mixed convection boundary layer flow over a vertical surface with prescribed heat flux is revisited in this Note.
The subset of solutions which can be obtained with the aid of the Reynolds analogy is discussed in a close relationship with the dual solutions reported by Merkin and Mahmood [1] for impermeable, and more
recently by Ishak et al. [2], for permeable surfaces.
相似文献
134.
Dulal Pal Babulal Talukdar 《Communications in Nonlinear Science & Numerical Simulation》2012,17(4):1597-1614
The influence of thermal radiation and first-order chemical reaction on unsteady MHD convective flow, heat and mass transfer of a viscous incompressible electrically conducting fluid past a semi-infinite vertical flat plate in the presence of transverse magnetic field under oscillatory suction and heat source in slip-flow regime is studied. The dimensionless governing equations for this investigation are formulated and solved analytically using two-term harmonic and non-harmonic functions. Comparisons with previously published work on special cases of the problem are performed and results are found to be in excellent agreement. A parametric study illustrating the effects of various physical parameters on the fluid velocity, temperature and concentration fields as well as skin-friction coefficient, the Nusselt and Sherwood numbers in terms of amplitude and phase is conducted. The numerical results of this parametric study are presented graphically and in tabular form to highlight the physical aspects of the problem. 相似文献
135.