Numerical Modeling of a Falling Bioconvection Plume in a Porous Medium

induced free stream;finite difference;bioconvective

Becker, Sid ; CHERTOCK, ALINA, Committee Member,KUZNETSOV, ANDREY V, Committee Chair,ROBERTS, WILLIAM IV, Committee Member,Becker, Sid ; CHERTOCK ; ALINA ; Committee Member ; KUZNETSOV ; ANDREY V ; Committee Chair ; ROBERTS ; WILLIAM IV ; Committee Member

University:North Carolina State University

关键词: induced free stream;    finite difference;    bioconvective;   

Others  :  https://repository.lib.ncsu.edu/bitstream/handle/1840.16/2912/etd.pdf?sequence=1&isAllowed=y

美国|英语

来源: null

【 摘 要 】

This thesis considers the bioconvective plume in a fluid saturated porous medium. Bioconvective plumes arise as a result of an unstable distribution of micro-organisms. This unstable distribution occurs when the micro-organisms, heavier than, accumulate in the upper regions of the fluid. The plume transports cells and oxygen from the upper regions to the lower regions. This thesis attempts to find a steady state solution of the plume in a porous medium by an of implicit finite difference method. The parabolized governing equations are discretized in a series of implicit finite difference equations, and the resulting steady state solutions are presented. A similarity solution of the plume is also obtained for comparison purposes.