Wave-induced flow of pore fluid in a cracked porous solid containing penny-shaped inclusions

An aim of current study is to analyze the contribution of reflected longitudinal waves to wave-induced fluid flow(WIFF) in the cracked porous solid.Initially,we investigate the time harmonic plane waves in cracked porous solid by employing the mathematical model proposed by Zhang et al.(2019).The solution is obtained in form of the Christoffel equations.The solution of the Christoffel equations indicates that there exist four(three dilatational and one shear) waves.These waves are attenuated in nature due to their complex and frequency-dependent velocities.The reflection coefficients are calculated at the sealed pore stress-free surface of cracked porous solid for the incidence of P1 and SV waves.It is found that three longitudinal waves contribute to WIFF and the contribution of these waves to the induced fluid in the cracked porous solid is analyzed using the reflection coefficients of these longitudinal waves.We analytically show that the fluid flow induced by these longitudinal waves is linked directly to their respective reflection coefficients.Finally,a specific numerical example is considered to discuss and to depict the impact of various parameters on the characteristics of propagation like phase velocity/attenuation,reflection coefficients and WIFF of longitudinal waves.

Photonic properties and applications of multi-functional organo-lanthanide complexes:Recent advances

Lanthanides(Ln(Ⅲ))based compounds as light-emitting materials have emerged as successful agents in high-performance defense and lighting systems,magnets,bio-markers,and circuitry.Therefore,they have recently gained much attention as energy-saving and cost-effective luminescent materials and their applications in analyte detection.The present review summarizes powerful features and recent developments of organo-lanthanide complexes in lighting applications with a particular focus on visible light emitters,including Eu(Ⅲ),Tb(Ⅲ),Sm(Ⅲ),and Dy(Ⅲ)ions.In addition,this review discusses the most relevant aspects of photosensitization,such as the structure,property,functionalization of primary and secondary ligands,and molecular geometry.In addition,coordination sites of organo-lanthanide complexes and their applications collectively contribute to the improved performance of innovative luminescent materials.Finally,the current challenges and key recommendations for advancing organolanthanides in material science are provided.