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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

The industrial revolutions that have passed so far have been an alternation of “machine revolutions” and “labor organization revolutions”. The third industrial revolution, which created the modern digital communication world, became a prerequisite for the formation of a new organization of work. This new organization is, first of all, the organization of labor of workers involved in the development of a new product, or the organization of innovative labor of workers. The study of the types of innovative labor shows that at least three models need serious improvement, which the authors have assigned the following names: “design” model, “competitive” and “creative”. The scientific organization of innovative labor involves identifying for each model: necessary and sufficient working conditions, including everyday and professional comfort; determination of conditions for the formation of motivational guidelines adequate to their activities among members of collectives engaged in innovative work; developing a clear incentive program based on legal and simple principles of rewarding and punishment.

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Scientific organization of innovative labour

This research presents a new insight into Marangoni convection through investigating, both numerically and analytically, the surface tension driven instability activated by a coupled effect of a vi...

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2019.0214

Marangoni convection of a viscous fluid over a vibrating plate

Biothermal Convection and Nanofluid Bioconvection

The Importance od the Composite Skin Model in Numerical Investigations of the Thermal Response Associated with In Vivo Skin Electroporation

The chapter addresses several problems related to intracellular transport in axons, long processes of neurons that serve to transmit electrical signals. Since defects in axonal transport are related to various neurodegenerative diseases, its mechanistic understanding is of extreme importance. The focus is on problems which allow elegant analytical treatments and modeling approaches. The following are considered: 1) Axonal transport drug delivery; 2) Effect of dynein velocity distribution on propagation of positive injury signals in axons (with application to the problem of how injured neurons can measure the distance between the lesion site and the neuron soma); 3) Merging of viral concentration waves in retrograde viral transport in axons. We demonstrate that in minimal models of the above processes, time-dependent analytical solutions can be obtained utilizing the Laplace transform, while for more complicated models that include several populations of transported particles, a numerical approach is required. The chapter thus shows how far the analytical approach can be pushed and how much physics can be incorporated into minimal models that allow analytical treatments. It is shown that depending on the values of kinetic and transport parameters different transport regimes are possible.

Andrey V. Kuznetsov

Papers

Scientific organization of innovative labour

Marangoni convection of a viscous fluid over a vibrating plate

Biothermal Convection and Nanofluid Bioconvection

The Importance od the Composite Skin Model in Numerical Investigations of the Thermal Response Associated with In Vivo Skin Electroporation

Modeling Intracellular Transport in Neurons