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Full-Text Articles in Mechanical Engineering
A Short-Distance Integral-Balance Solution To A Strong Subdiffusion Equation: A Weak Power-Law Profile, Jordan Hristov
A Short-Distance Integral-Balance Solution To A Strong Subdiffusion Equation: A Weak Power-Law Profile, Jordan Hristov
Jordan Hristov
The work presents an integral solution of the time-fractional subdiffusion through a preliminary defined profile with unknown coefficients and the concept of penetration layer well known from the heat diffusion The profile satisfies the boundary conditions imposed at the boundary of the boundary layer in a weak form that allows its coefficients to be expressed through the boundary layer depth as unique parameter describing the profile. The technique is demonstrated by a solution of a time fractional subdiffusion equation in rectilinear 1-D conditions.
Energetyka Niskoemisyjna, Wojciech M. Budzianowski
Energetyka Niskoemisyjna, Wojciech M. Budzianowski
Wojciech Budzianowski
No abstract provided.
Heat-Balance Integral To Fractional (Half-Time) Heat Diffusion Sub-Model, Jordan Hristov
Heat-Balance Integral To Fractional (Half-Time) Heat Diffusion Sub-Model, Jordan Hristov
Jordan Hristov
The fractional (half-time) sub-model of the heat diffusion equation, known as Dirac-like evolution diffusion equation has been solved by the heat-balance integral method and a parabolic pro file with unspecified exponent. The fractional heat-balance integral method has been tested with two classic examples: fixed temperature and fixed flux at the boundary. The heat-balance technique allows easily the convolution integral of the fractional half-time derivative to be solved as a convolution of the time-independent approximating function. The fractional sub-model provides an artificial boundary condition at the boundary that closes the set of the equations required to express all parameters of the …
Morphological Evolution Of Single-Crystal Ultrathin Solid Films, Mikhail Khenner
Morphological Evolution Of Single-Crystal Ultrathin Solid Films, Mikhail Khenner
Mikhail Khenner
An introduction to mathematical modeling of ultrathin solid films and the role of such modeling in nanotechnologies: Educational/Research presentation for senior physics majors
Grafika Inżynierska Ćw., Wojciech M. Budzianowski
Grafika Inżynierska Ćw., Wojciech M. Budzianowski
Wojciech Budzianowski
No abstract provided.
Projektowanie Procesów Biotechnologicznych Proj., Wojciech M. Budzianowski
Projektowanie Procesów Biotechnologicznych Proj., Wojciech M. Budzianowski
Wojciech Budzianowski
No abstract provided.
Projektowanie I Optymalizacja Procesów Proj., Wojciech M. Budzianowski
Projektowanie I Optymalizacja Procesów Proj., Wojciech M. Budzianowski
Wojciech Budzianowski
No abstract provided.
Metody Numeryczne Lab., Wojciech M. Budzianowski
Metody Numeryczne Lab., Wojciech M. Budzianowski
Wojciech Budzianowski
No abstract provided.
Odnawialne Źródła Energii W., Wojciech M. Budzianowski
Odnawialne Źródła Energii W., Wojciech M. Budzianowski
Wojciech Budzianowski
No abstract provided.
Oscillatory And Monotonic Modes Of Long-Wave Marangoni Convection In A Thin Film, Sergey Shklyaev, Mikhail Khenner, Alexei Alabuzhev
Oscillatory And Monotonic Modes Of Long-Wave Marangoni Convection In A Thin Film, Sergey Shklyaev, Mikhail Khenner, Alexei Alabuzhev
Mikhail Khenner
We study long-wave Marangoni convection in a layer heated from below. Using the scaling k=OBi, where k is the wave number and Bi is the Biot number, we derive a set of amplitude equations. Analysis of this set shows presence of monotonic and oscillatory modes of instability. Oscillatory mode has not been previously found for such direction of heating. Studies of weakly nonlinear dynamics demonstrate that stable steady and oscillatory patterns can be found near the stability threshold.