id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-326	Fama, Alessio; Restuccia, Liliana	Coupled porosity-fluid concentration flux-temperature waves in isotropic porous media	2021	12	.pdf	application/pdf	5166	244	64	j c ∂jci ∂t = −jci + (3ξ3 1 + 2ξ3 2)r,i + ξ5T,i, (6.2) i.e. equation (3.14), when we define βc = ξ5, αc = 3ξ3 1 + 2ξ3 2 . (6.3) 7. Appendix D: Derivation of temperature equation To deduce (3.15), we use (3.3) , (3.11), (3.12)1, and (3.12)5, and the special forms (3.8)2, (3.8)3 , and (4.5) of the tensors Kij , ηij and ν3 ijkl, so that we obtain τ q ∂2T ∂t2 + ∂T ∂t = 3η ∂r ∂t +KT,ii +Dν [ ν3 1δilδjk + ν3 2(δijδkl + δikδjl) ] r,liδjk, (7.1) where ν3 1 , ν3 2 are the 2 significant independent components of the fourth tensor ν3 ijkl and K, η are the only significant components of the second order tensors Kij and ηij . In [25, 26] the constitutive equations and rate equations were obtained (to close the systems of balance equations, see [25]) obeying the objectivity and frame indifference principles	cache/ejde-326.pdf	txt/ejde-326.txt