Unsteady heat conduction in finite hollow circular cylinders under time-dependent boundary conditions of the second kind

Ölçer, N. Y.; Sunderland, J. E.

doi:10.1016/0029-5493(68)90028-9

Cited by 5 publications

(1 citation statement)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Following Ölçer and Sunderland, 58 the solution of eq 5 with initial condition eq 6 and boundary conditions eq 7 is where τ = 4 R 2 / D is a characteristic time constant (τ ∼ 5.57 ns with R = 1.5 nm and D = 1.21 × 10 –9 m 2 /s) and and δ 0 m is the Kronecker delta, J n ( x ) and Y n ( x ) are the n th order Bessel functions of the first kind and second kind, respectively, and β mn is the n th non-negative root of the following equation …”

Section: Resultsmentioning

confidence: 99%

Nuclear Magnetic Resonance Dipolar Cross-Relaxation Interaction between Nanoconfined Fluids and Matrix Solids

et al. 2022

View full text Add to dashboard Cite

Many different methods have been developed to investigate fluid–solid interactions in nanoporous systems. These methods either only work in the liquid phase or provide an indirect measurement by probing the fluid–solid interaction based on a measured property change of the fluid or solid under different sample conditions. Here, we report a direct measurement technique using NMR dipolar cross-relaxation between the nanoconfined fluids and the matrix solids. The method was tested using a methyl-functionalized mesostructured silica saturated with methanol as a model sample. A formal theory was established to describe the enhanced dipolar cross-relaxation interaction between the nanoconfined fluids and the matrix solids. Both the experiment and theory showed that nanoconfinement of the fluids enhances the dipolar cross-relaxation interaction between the fluid and the matrix solids, which can be applied to investigate the fluid–solid interaction for various materials of a similar nanostructure.

show abstract