Dear Mohammad, nanosilica have huge superficial area about or more than 60m2, so their effects on concrete are to improve density, closing porosity and have a strong pozzolanic effect so all mechanical properties will be improved. But of course the big difference between opc cement and nanosilica in term of granulometry have also the consequence of rising water demand. Using a good acrylic superplasticizers you may solve last problem, maintaining quite low a/c ratio so drying shrinkage will be under controll or reduced because of density and, at the same time, performances also about waterproofing will be increased at the best. You have only to test what will be the optimum dosage of nanosilica in your recipe to maintain correct workability of your concrete.
Nano silica is actually dispersed in the cement/concrete matrix structure, improving the mechanical properties (UCS significantly). As for shrinkage, with increased W/C as a necessity, shrinkage will occur.
In a number of research it has been observed that nano-scale silica behaves not
only as a filler to improve microstructure, but also as an activator to promote pozzolanic reaction. It has revealed reduced calcium leaching of nano-silica-added cement paste ascribing it to the densification of the paste, transforming of portlandite into C–S–H by means of pozzolanic reaction and modification of internal structure of C–S–H gel, all of which make the cement paste more stable and more strongly bonded. Higher values of water absorption and apparent porosity were observed along with unrestrained shrinkage and weight loss of mortars with increase in nano-silica content (highest at 7% nano-silica wt. %).
For fly ash replaced cement-based materials, CH generated by cement hydration is critical for later stage pozzolanic reaction. Nano-silica addition has great influence on the CH content of fly ash–cement paste. Also, depletion of Ca(OH)2 was more severe when the nano-silica dosage and fly ash replacement ratio are high.
You can find some information for shrinkage of concrete with silica fume in EN 1992-2 (Eurocode 2 for bridges). Last year a prepared concrete with silica fume (10% of cement weight) and the shrinkage was very big, about 0.8 promile after 100 days.