Propagation of nonlinear thermoelastic waves in porous media within the theory of heat conduction with memory: physical derivation and exact solutions

2016 ◽  
Vol 40 (4) ◽  
pp. 1307-1315 ◽  
Author(s):  
Roberto Garra
Keyword(s):  
Porous Media ◽  
Heat Conduction ◽  
Exact Solutions ◽  
Heat Conduction With Memory ◽  
Thermoelastic Waves ◽  
With Memory

scholarly journals Transient Fluid Motions in Saturated Porous Media

1957 ◽  
Vol 10 (1) ◽  
pp. 43 ◽  
Author(s):  
JR Philip
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Heat Conduction ◽  
Exact Solutions ◽  
Kinematic Viscosity ◽  
Saturated Porous Medium ◽  
Steady Motion ◽  
Potential Gradient ◽  
Saturated Porous Media ◽  
Approximate Analysis

The transition from rest to steady motion on the sudden application of a potential gradient to the fluid contained in a saturated porous medium is investigated. An approximate analysis gives the result that the time of the effective establishment of the steady motion is proportional to the permeability and inversely proportional to the kinematic viscosity. Two exact solutions (one of them new) for simple cases suggest that the approximate analysis is remarkably accurate. An analogy between this problem and one in heat conduction makes the relevant results in that field immediately applicable here.

A Note on Heat Conduction With Memory

1973 ◽  
Vol 40 (4) ◽  
pp. 1124-1125
Author(s):  
F. R. Norwood
Keyword(s):  
Heat Conduction ◽  
Heat Conduction With Memory ◽  
With Memory
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