Dimensional analysis in the venous system

Abstract

Dimensional analysis, a standard method of Fluid Mechanics, was applied to the field of venous hemodynamics. Three independent physical quantities, velocity, length and pressure, were chosen and seven other ones were used to derive the non-dimensional terms. The mathematical burden was reduced to the minimum and the attention was focused on the results. Among them, a new formulation of an already known non-dimensional term, recalled the flow-length (FL), was identified and selected for a deeper experimental study.

نمذجة معدل انتشار الفيروسات باستخدام الأساليب الحديثة لتحليل الأبعاد

“…We assert that dimensional analysis (DA) can serve as such a technique, since all that it needs is a proper identification of all the genuine determinants of the studied phenomenon together with knowledge of the dimensions of the pertinent physical quantities with respect to an appropriate dimensional basis [6][7][8][9][10][11][12][13][14][15][16][17][18] . Although DA is suitable for the exploration of phenomena that are not easily amenable to exact analysis, it has been applied only rarely in medical disciplines (see, e.g., references [5,7,15,[19][20][21][22]).…”