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Full-Text Articles in Engineering

Transport Processes In Random Arrays Of Cylinders. Ii. Viscous Flow, Ashok S. Sangani, C. Yao Jan 1988

Transport Processes In Random Arrays Of Cylinders. Ii. Viscous Flow, Ashok S. Sangani, C. Yao

Ashok S. Sangani

A numerical method is developed that takes into account the many-particle interactions in a rigorous manner to determine the effective thermal conductivity Km of a composite medium consisting of parallel circular cylinders of thermal conductivity ak suspended in a matrix of conductivity k. Numerical results for Km are presented for a wide range of a and o, the area fraction of the cylinders, after averaging over several computer-generated random arrays of cylinders. The results obtained via this exact method are compared with those of various approximate analytical methods to assess their utility in predicting Km.


Periodic Solutions For Three Sedimenting Spheres, Ashok S. Sangani, Russel E. Caflisch, Chjan Lim, Jonathan H. C. Luke Jan 1988

Periodic Solutions For Three Sedimenting Spheres, Ashok S. Sangani, Russel E. Caflisch, Chjan Lim, Jonathan H. C. Luke

Ashok S. Sangani

Exact periodic solutions are found for the relative motion of three spheres sedimenting in a Stokes fluid. Nearby solutions are found to be nearly periodic for a long time. Existence of the exact periodic solutions is proved using the point-particle approximation and symmetry properties of Stokes equations. Numerical simulations for finitie-sized particles are performed using a method of multipole expansions.


Periodic Solutions For Three Sedimenting Spheres, Ashok S. Sangani, Russel E. Caflisch, Chjan Lim, Jonathan H. C. Luke Jan 1988

Periodic Solutions For Three Sedimenting Spheres, Ashok S. Sangani, Russel E. Caflisch, Chjan Lim, Jonathan H. C. Luke

Biomedical and Chemical Engineering - All Scholarship

Exact periodic solutions are found for the relative motion of three spheres sedimenting in a Stokes fluid. Nearby solutions are found to be nearly periodic for a long time. Existence of the exact periodic solutions is proved using the point-particle approximation and symmetry properties of Stokes equations. Numerical simulations for finitie-sized particles are performed using a method of multipole expansions.


Transport Processes In Random Arrays Of Cylinders. Ii. Viscous Flow, Ashok S. Sangani, C. Yao Jan 1988

Transport Processes In Random Arrays Of Cylinders. Ii. Viscous Flow, Ashok S. Sangani, C. Yao

Biomedical and Chemical Engineering - All Scholarship

A numerical method is developed that takes into account the many-particle interactions in a rigorous manner to determine the effective thermal conductivity Km of a composite medium consisting of parallel circular cylinders of thermal conductivity ak suspended in a matrix of conductivity k. Numerical results for Km are presented for a wide range of a and o, the area fraction of the cylinders, after averaging over several computer-generated random arrays of cylinders. The results obtained via this exact method are compared with those of various approximate analytical methods to assess their utility in predicting Km.