This paper focuses on such materials processing applications where multiple length and time scales are of interest.
The multiple length and time scales involved therein create immense complexity, especially when microstructural damage mechanisms are also activated.
Finally, this chapter proposes a framework for viewing a chemical enterprise from a multiple length and time-scale perspective.
The coating process of sol gel silica films involves multiple length and time scales ranging from molecular to macroscopic.
Today's problems are complex and nonlinear, they involve multiple length and time scales, and their analysis requires mathematics beyond textbooks and novel algorithms and software tools.
The design process is multiscale in the sense that multiple length and time scales of material structure and responses are addressed by different models.
This coupled approach makes the model more unique and detailed as transport inside each cell in the battery module is solved for and thus covering multiple length and time scales.
To identify novel light weight, environmentally friendly engineering material platforms, a greater understanding must be achieved of the fundamental links between hierarchical structure assembly, properties, and functions at multiple length and time scales.
Addressing a number of studies in the context of multiple length and time scales, the importance of appropriate boundary conditions, site specific material parameters, permeability measures and even micro-nanoanatomically correct geometries are discussed in context of model predictions and their value for understanding multiscale mechanobiology of bone.
As our sequence analysis shows that EBV miRNAs exist with multiple length and nucleotide variants, we decided to use the total read, including all length and nucleotide variants, to represent the abundance of individual EBV miRNAs in NPC tissue.
