Magneto-thermo-elastic interactions in an infinite solid due to some time-dependent heat sources

1975 ◽  
Vol 25 (4) ◽  
pp. 392-398
Author(s):  
G. P. Mukherjee
Keyword(s):  
Time Dependent ◽  
Heat Sources ◽  
Elastic Interactions

On the principle of exchange of stabilities

1969 ◽  
Vol 310 (1502) ◽  
pp. 341-358 ◽  
Keyword(s):  
Growth Rate ◽  
Couette Flow ◽  
Equations Of State ◽  
Travelling Waves ◽  
Time Dependent ◽  
Heat Sources ◽  
Constant Heat ◽  
Perturbation Theorem ◽  
Adjoint Operators ◽  
Real Self

A perturbation theorem is proved: a class of real, bounded (non-self-adjoint) perturbations of norm ϵ to real self-adjoint operators preserve the reality of the simple eigenvalues for ϵ sufficiently small. A bound is obtained on ϵ. Application is made to Bénard convection with constant heat sources, radiation, particular time-dependent profiles and nonlinear equations of state and to instability of circular Couette flow for a range of gap widths. In each case the growth rate is the eigenvalue and hence if ϵ < ϵ c , travelling waves (either growing or decaying) are forbidden.

scholarly journals Exact Analytical Solution for 3D Time-Dependent Heat Conduction in a Multilayer Sphere with Heat Sources Using Eigenfunction Expansion Method

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Nemat Dalir
Keyword(s):  
Heat Conduction ◽  
Analytical Solution ◽  
Eigenfunction Expansion ◽  
Radial Direction ◽  
Exact Analytical Solution ◽  
Internal Heat ◽  
Expansion Method ◽  
Time Dependent ◽  
Heat Sources ◽  
Eigenfunction Expansion Method

An exact analytical solution is obtained for the problem of three-dimensional transient heat conduction in the multilayered sphere. The sphere has multiple layers in the radial direction and, in each layer, time-dependent and spatially nonuniform volumetric internal heat sources are considered. To obtain the temperature distribution, the eigenfunction expansion method is used. An arbitrary combination of homogenous boundary condition of the first or second kind can be applied in the angular and azimuthal directions. Nevertheless, solution is valid for nonhomogeneous boundary conditions of the third kind (convection) in the radial direction. A case study problem for the three-layer quarter-spherical region is solved and the results are discussed.

Temperature solutions due to time-dependent moving-line-heat sources

1996 ◽  
Vol 31 (3) ◽  
pp. 185-189 ◽  
Author(s):  
S. M. Zubair ◽  
M. A. Chaudhry
Keyword(s):  
Time Dependent ◽  
Heat Sources ◽  
Moving Line

scholarly journals Pyroelectric power generation from the waste heat of automotive exhaust gas

2020 ◽  
Vol 4 (3) ◽  
pp. 1143-1149 ◽  
Author(s):  
Juyoung Kim ◽  
Satoru Yamanaka ◽  
Ichiro Murayama ◽  
Takanori Katou ◽  
Tomokazu Sakamoto ◽  
...  
Keyword(s):  
Heat Recovery ◽  
Waste Heat Recovery ◽  
Waste Heat ◽  
Thermodynamic Cycle ◽  
Time Dependent ◽  
Exhaust Gas ◽  
Heat Sources ◽  
Temperature Changes ◽  
Waste Heat Recovery System ◽  
Recovery System

A waste heat recovery system is investigated basically. Original electro-thermodynamic cycle and novel system are expected to be viable in any heat sources with time dependent temperature changes instead of the spatial temperature gradient.

scholarly journals Earthquake simulations with time-dependent nucleation and long-range interactions

1995 ◽  
Vol 2 (3/4) ◽  
pp. 109-120 ◽  
Author(s):  
J. H. Dieterich
Keyword(s):  
Long Range ◽  
Approximate Solutions ◽  
Time Dependent ◽  
Earthquake Activity ◽  
Fault Surface ◽  
Elastic Interactions ◽  
State Dependent ◽  
Aftershock Sequences ◽  
Earthquake Nucleation ◽  
Earthquake Simulations

Abstract. A model for rapid simulation of earthquake sequences is introduced which incorporates long-range elastic interactions among fault elements and time-dependent earthquake nucleation inferred from experimentally derived rate- and state-dependent fault constitutive properties. The model consists of a planar two-dimensional fault surface which is periodic in both the x- and y-directions. Elastic interactions among fault elements are represented by an array of elastic dislocations. Approximate solutions for earthquake nucleation and dynamics of earthquake slip are introduced which permit computations to proceed in steps that are determined by the transitions from one sliding state to the next. The transition-driven time stepping and avoidance of systems of simultaneous equations permit rapid simulation of large sequences of earthquake events on computers of modest capacity, while preserving characteristics of the nucleation and rupture propagation processes evident in more detailed models. Earthquakes simulated with this model reproduce many of the observed spatial and temporal characteristics of clustering phenomena including foreshock and aftershock sequences. Clustering arises because the time dependence of the nucleation process is highly sensitive to stress perturbations caused by nearby earthquakes. Rate of earthquake activity following a prior earthquake decays according to Omori's aftershock decay law and falls off with distance.

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