TY - JOUR

T1 - Effect of mass diffusion upon the thermal-diffusive behavior of a dry vibrated granular bed

AU - Sheng, Li Tsung

AU - Chiu, Shao Li

AU - Hsiau, Shu San

N1 - Publisher Copyright:
© 2018 Elsevier Ltd

PY - 2018/8/10

Y1 - 2018/8/10

N2 - We report the results of an experimental study on the thermal-diffusion mechanisms of particles with fluctuant motion in a dry granular system. Granular beds with different intensities of particle self-diffusion were produced by exerting vertical vibration-driving forces of different strengths. The effective thermal diffusivity, αe, was determined by solving the inverse transient heat conduction problem. The self-diffusion coefficient in the vertical direction, Dyy, was calculated to describe the diffusive motions of the particles in the bed. The dimensionless Lewis number, Le, was calculated to investigate the relationship between mass diffusion and thermal diffusion. First, we demonstrated that mass diffusion increased the thermal-diffusive behavior of the dry granular system. Second, we identified a positive linear correlation with the specific slope Sαd between αe and Dyy. In particular, the value of Sαd represents a characteristic of the granular system related to the relationship between thermal diffusivity and the mass diffusivity; this means that Le may approach the value of Sαd if the intensity of particle self-diffusion in the bed is sufficiently strong.

AB - We report the results of an experimental study on the thermal-diffusion mechanisms of particles with fluctuant motion in a dry granular system. Granular beds with different intensities of particle self-diffusion were produced by exerting vertical vibration-driving forces of different strengths. The effective thermal diffusivity, αe, was determined by solving the inverse transient heat conduction problem. The self-diffusion coefficient in the vertical direction, Dyy, was calculated to describe the diffusive motions of the particles in the bed. The dimensionless Lewis number, Le, was calculated to investigate the relationship between mass diffusion and thermal diffusion. First, we demonstrated that mass diffusion increased the thermal-diffusive behavior of the dry granular system. Second, we identified a positive linear correlation with the specific slope Sαd between αe and Dyy. In particular, the value of Sαd represents a characteristic of the granular system related to the relationship between thermal diffusivity and the mass diffusivity; this means that Le may approach the value of Sαd if the intensity of particle self-diffusion in the bed is sufficiently strong.

KW - Effective thermal diffusivity

KW - Lewis number

KW - Particle self-diffusion

KW - Vibrated granular bed

UR - http://www.scopus.com/inward/record.url?scp=85045456737&partnerID=8YFLogxK

U2 - 10.1016/j.ces.2018.04.020

DO - 10.1016/j.ces.2018.04.020

M3 - 期刊論文

AN - SCOPUS:85045456737

SN - 0009-2509

VL - 185

SP - 222

EP - 230

JO - Chemical Engineering Science

JF - Chemical Engineering Science

ER -