scholarly journals Fractional Order Generalized Thermoelastic Problem in a Thick Circular Plate with Periodically Varying Heat Source

2017 ◽  
pp. 132-138
Author(s):  
J.J. Tripathi ◽  
K.C. Deshmukh ◽  
J. Verma
Keyword(s):  
Heat Source ◽  
Circular Plate ◽  
Fractional Order ◽  
Thermoelastic Problem ◽  
Thick Circular Plate ◽  
Generalized Thermoelastic

Influence of the rotation on a generalized magneto-thermoelastic medium for three-phase-lag model

2015 ◽  
Vol 11 (2) ◽  
pp. 297-318 ◽  
Author(s):  
Samia M Said
Keyword(s):  
Magnetic Field ◽  
Heat Source ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Thermoelastic Problem ◽  
Phase Lag ◽  
Content Type ◽  
Three Phase ◽  
Lag Model ◽  
Generalized Thermoelastic

Purpose – The purpose of this paper is to investigate the effect of rotation and a magnetic field on the wave propagation in a generalized thermoelastic problem for a medium with an internal heat source that is moving with a constant speed. Design/methodology/approach – The formulation is applied to a generalized thermoelastic problem based on the three-phase-lag model and Green-Naghdi theory without energy dissipation. The medium is a homogeneous isotropic thermoelastic in the half-space. Findings – The exact expressions of the displacement components, temperature, and stress components are obtained by using normal mode analysis. Originality/value – Comparisons are made with the results predicted by the two models in the absence and presence of a magnetic field as well as a rotation. A comparison also is made with the results predicted by the two models for two different values of an internal heat source.

scholarly journals Analysis of Time-Fractional Heat Transfer and its Thermal Deflection in a Circular Plate by a Moving Heat Source

2020 ◽  
Vol 25 (3) ◽  
pp. 158-168
Author(s):  
S. Thakare ◽  
M. Warbhe
Keyword(s):  
Heat Conduction ◽  
Heat Source ◽  
Circular Plate ◽  
Fractional Order ◽  
Integral Transformation ◽  
Convective Heat Exchange ◽  
Moving Heat Source ◽  
Plate Temperature ◽  
Static Approach ◽  
Thermal Deflection

AbstractMathematical modeling of a thin circular plate has been made by considering a nonlocal Caputo type time fractional heat conduction equation of order 0 < α ≤ 2, by the action of a moving heat source. Physically convective heat exchange boundary conditions are applied at lower, upper and outer curved surface of the plate. Temperature distribution and thermal deflection has been investigated by a quasi-static approach in the context of fractional order heat conduction. The integral transformation technique is used to analyze the analytical solution to the problem. Numerical computation including the effect of the fractional order parameter has been done for temperature and deflection and illustrated graphically for an aluminum material.

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