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Thermosensitive response of a functionally graded cylinder with fractional order derivative

Lamba Navneet Kumar

International Journal of Applied Mechanics and Engineering

2022

Vol. 27, no. 1

107--124

The present paper deals with thermal behaviour analysis of an axisymmetric functionally graded thermosensitive hollow cylinder. The system of coordinates are expressed in cylindrical-polar form. The heat conduction equation is of time-fractional order02<α≤, subjected to the effect of internal heat generation. Convective boundary conditions are applied to inner and outer curved surfaces whereas heat dissipates following Newton’s law of cooling. The lower surface is subjected to heat flux, whereas the upper surface is thermally insulated. Kirchhoff’s transformation is used to remove the nonlinearity of the heat equation and further it is solved to find temperature and associated stresses by applying integral transformation method. For numerical analysis a ceramic-metal-based functionally graded material is considered and the obtained results of temperature distribution and associated stresses are presented graphically.

Zachowanie gwieździstych kopolimerów metakrylanów w roztworach

Mendrek B.

Polimery

2016

T. 61, nr 6

413--420

Artykuł opisuje dwa rodzaje polimerów gwieździstych z ramionami z homopolimeru metakrylanu N,N-dimetyloaminoetylu (PDMAEMA) oraz z ramionami z kopolimeru bezładnego metakrylanu N,N-dimetyloaminoetylu i metakrylanu eteru monometylowego di(glikolu etylenowego) (PDMAEMA-co-PDEGMA), które syntezowano metodą „najpierw rdzeń”. Wyznaczając promienie hydrodynamiczne (Rh90°) badano zachowania otrzymanych polimerów w rozpuszczalnikach organicznych iw wodzie. Określano także wpływ pH i temperatury na potencjał zeta i nanocząstek tych polimerów w roztworach wodnych.

This paper describes two kinds of star polymers with homopolymer arms made of N,N-dimethylaminoethyl methacrylate (PDMAEMA) and with random copolymer arms of N,N-dimethylaminoethyl methacrylate and di(ethylene glycol) methyl ether methacrylate (PDMAEMA-co-PDEGMA), which were synthesized via "core first” method. Hydrodynamic radii were determined and the behavior of obtained polymers in organic solvents and in aqueous solutions were studied. The effect of pH and temperature on the zeta potential and hydrodynamic radii of polymers particles were also investigated.