“…(16)- (18) together with the aforementioned initial and boundary conditions can be obtained through the method of homogenization [30]. (16)- (18) together with the aforementioned initial and boundary conditions can be obtained through the method of homogenization [30].…”
Section: Diffusion In Multimaterials Compositesmentioning
confidence: 99%
“…(27) and (28) with R r = ρ 0 δφΙδγ Γ we obtain bJs+ Ky s = -Wr + Pjr*j) (30) whereby y s can be expressed in terms of the "expansion coefficients" )S R and the stresses Gj, and related to the eigenvalues X q which are real and non-negative. (27) and (28) with R r = ρ 0 δφΙδγ Γ we obtain bJs+ Ky s = -Wr + Pjr*j) (30) whereby y s can be expressed in terms of the "expansion coefficients" )S R and the stresses Gj, and related to the eigenvalues X q which are real and non-negative.…”
“…(16)- (18) together with the aforementioned initial and boundary conditions can be obtained through the method of homogenization [30]. (16)- (18) together with the aforementioned initial and boundary conditions can be obtained through the method of homogenization [30].…”
Section: Diffusion In Multimaterials Compositesmentioning
confidence: 99%
“…(27) and (28) with R r = ρ 0 δφΙδγ Γ we obtain bJs+ Ky s = -Wr + Pjr*j) (30) whereby y s can be expressed in terms of the "expansion coefficients" )S R and the stresses Gj, and related to the eigenvalues X q which are real and non-negative. (27) and (28) with R r = ρ 0 δφΙδγ Γ we obtain bJs+ Ky s = -Wr + Pjr*j) (30) whereby y s can be expressed in terms of the "expansion coefficients" )S R and the stresses Gj, and related to the eigenvalues X q which are real and non-negative.…”
“…19. The cross-wise profiles are 3 Hydraulic diameter is defined as D h = 4A/P, where A is the cross section area of the channel and P is the wetted perimeter, defined as the length of that area circumference that is wet. 4 The characteristic length used to calculate Grashof number was chosen to be D h .…”
Section: Reference: Sole Gasmentioning
confidence: 99%
“…An extensive study on the problem of linear diffusion in flows with laminated walls was presented by Wirth and Rodin [3]. Olek et al [4] presented a model for solving unsteady heat transfer problems in pipe flow cases.…”
“…On the contrary, solutions of inverse heat conduction problems of multi-layered materials are rare even for steady-state problems although a large number of solutions of direct problems can be found [22][23][24][25][26]. This is because dealing with such problems is much more difficult due to physical condition at layer interfaces [27]. Literatures on inverse heat conduction problems of multi-layered material recently appear are Wei and Li [28] and Movahedian and Boroomand [29].…”
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