Oscillations of a non-uniform finite hollow cylinder under conditions of complex prestressed state

2020 ◽  
Vol 221 ◽  
pp. 111019
Author(s):  
V.O. Yurov ◽  
R.D. Nedin ◽  
A.O. Vatulyan
Keyword(s):  
Hollow Cylinder ◽  
Finite Hollow Cylinder ◽  
Prestressed State

Walker’s modes in ferromagnetic finite hollow cylinder

2020 ◽  
Vol 578 ◽  
pp. 411872
Author(s):  
Patrizio Ansalone ◽  
Vittorio Basso
Keyword(s):  
Hollow Cylinder ◽  
Finite Hollow Cylinder

scholarly journals Time-Fractional Fourier Law in a finite hollow cylinder under Gaussian-distributed heat flux

2018 ◽  
Vol 180 ◽  
pp. 02008 ◽  
Author(s):  
Slawomir Blasiak
Keyword(s):  
Heat Flux ◽  
Heat Conduction ◽  
Hollow Cylinder ◽  
Integral Transformation ◽  
Temperature Fields ◽  
Radial Coordinate ◽  
Finite Hollow Cylinder ◽  
The Laplace Transform ◽  
Transformation Methods ◽  
Fractional Heat Conduction

This paper presents the solution of the theoretical model of heat conduction based on timefractional Fourier equation for a finite hollow cylinder treated with heat flux on one of the front surfaces. A derivative of fractional order in the Caputo sense was applied to record the temperature derivative in time. The distributions of temperature fields in the hollow cylinder were determined with the use of Fourier-Bessel series, as surface functions of two variables (r, θ) . The distributions of temperature fields were determined using analytical methods and applying integral transformation methods. The Laplace transform with reference to time, the Fourier finite cosine transform with reference to axial coordinate z and Marchi-Zgrablich transform for radial coordinate r. The fractional heat conduction equation was analysed for 0 < α ≤ 2

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