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One can obtain volume expansion of materials with the data of lattice parameters at different temperature.
The obtained volume elements are prepared for the numerical analyses by means of finite-element method.
They obtained volume increase as + 2.6 × 106 m3, two orders of magnitude greater than our result during the period between January 2006 and April 2014.
The stack of images was processed to obtain volume and surface area individually for each separate body.
The difference between the traditionally obtained volume averaged equation for very small flow rate and Brinkman's equation is resolved.
By multiplying the obtained volume fraction image with the appropriate gel intensity (average normalised intensity 0.39) a noiseless simulated image is obtained.
The consequences of computing show that the obtained volume of MTX, CNT, and MTX CNT complex is equal to 4.15, 5.48 and 6.87 Å (Angstrom).
The obtained volume fraction results of solid phase in Fig. 4 show the solid particles in bubbling regime at minimum fluidization velocity of 1.0 m/s.
On the other hand, the simultaneously obtained volume diffusion coefficient showed similar values to previously reported results, indicating that extrinsic diffusion occurred in the grain interior.
