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American Society for Testing and Materials

The boundary layer equations for plane, incompressible, and steady flow are 

$$\matrix{ {u{{\partial u} \over {\partial x}} + v{{\partial u} \over {\partial y}} = - {1 \over \varrho }{{\partial p} \over {\partial x}} + v{{{\partial ^2}u} \over {\partial {y^2}}},} \cr {0 = {{\partial p} \over {\partial y}},} \cr {{{\partial u} \over {\partial x}} + {{\partial v} \over {\partial y}} = 0.} \cr }$$

Boundary Layer Theory

Boundary-layer flow of a nanofluid past a stretching sheet

The flow of homogeneous fluids through porous media: analogies with other physical problems

Natural convective boundary-layer flow of a nanofluid past a vertical plate

Thermally Developing Forced Convection in a Porous Medium: Parallel-Plate Channel or Circular Tube with Walls at Constant Heat Flux

Analytical comparison and criteria for heat and mass transfer models in metal hydride packed beds

Stability of a suspension of gyrotactic microorganisms in superimposed fluid and porous layers

This paper investigates the combined effect of density stratification due to oxytactic upswimming and heating from below on the stability of a suspension of motile oxytactic microorganisms in a shallow fluid layer. Different from traditional bioconvection, thermo-bioconvection has two destabilizing mechanisms that contribute to creating the unstable density stratification. This problem may be relevant to a number of geophysical applications, such as the investigation of the dynamics of some species of thermophiles (heat loving microorganisms) living in hot springs. By performing a linear stability analysis, we obtained a correlation between the critical value of the bioconvection Rayleigh number and the traditional, “thermal” Rayleigh number. It is established that heating from below makes the system more unstable and helps the development of bioconvection.

Investigation of the onset of thermo-bioconvection in a suspension of oxytactic microorganisms in a shallow fluid layer heated from below

An analytic solution is obtained for forced convection flow in a parallel-plates channel or a circular duct occupied by a hyper-porous medium saturated with a rarefied gas in the slip-flow regime, for the case of uniform flux boundary conditions. As expected, it is found that velocity slip leads in general to increased heat transfer and temperature slip leads to reduced heat transfer.

Andrey V. Kuznetsov

Papers

Thermally Developing Forced Convection in a Porous Medium: Parallel-Plate Channel or Circular Tube with Walls at Constant Heat Flux

Analytical comparison and criteria for heat and mass transfer models in metal hydride packed beds

Stability of a suspension of gyrotactic microorganisms in superimposed fluid and porous layers

Investigation of the onset of thermo-bioconvection in a suspension of oxytactic microorganisms in a shallow fluid layer heated from below

Forced Convection with Slip-flow in a Channel or Duct Occupied by a Hyper-porous Medium Saturated by a Rarefied Gas