Open AccessTravelling-Wave Similarity Solution for Gravity-Driven Rivulet of a Non-Newtonian Fluid
Author(s) -
Siti Sabariah Abas,
Yazariah Mohd Yatim
Publication year - 2018
Publication title -
international journal of engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2227-524X
DOI - 10.14419/ijet.v7i2.15.11208
Subject(s) - newtonian fluid , inclined plane , mechanics , similarity solution , non newtonian fluid , physics , plane (geometry) , position (finance) , flow (mathematics) , quartic function , similarity (geometry) , classical mechanics , transverse plane , power law fluid , power law , mathematics , geometry , engineering , computer science , boundary layer , artificial intelligence , image (mathematics) , statistics , structural engineering , finance , quantum mechanics , pure mathematics , economics
Unsteady travelling-wave similarity solution describing the flow of a slender symmetric rivulet of non-Newtonian power-law fluid down an inclined plane is obtained. The flow is driven by gravity with strong surface-tension effect. The solution predicts that at any time and position , the rivulet widens or narrows according to , where is velocity of a rivulet, and the film thickens or thins according to a free parameter , independent of power-law index . The rivulet also has a quartic transverse profile which always has a global maximum at its symmetrical axis.