Aspects of the thermodynamic stability of fibre suspension flows

A Stability Result on the Orientation of Red Blood Cells in the Venule Network

“…The use of only the second-order tensor amounts to an approximation of Ψ (p) by truncating the series. Thus, a tensor representation is always an approximate description [1,11,[16][17][18]. However, in many theories the second-and fourth-order tensors give exactly the information needed to determine many physical properties of the suspension [1,11,[16][17][18].…”

“…Equations (27) and (28) are know as the "evolution equation" for the orientation tensor A [1,11,[16][17][18].…”

“…Problem 1 was studied by Munganga et al [16,17]. They established the existence and uniqueness, locally and globally in time, of solutions to the governing equations for suspension flows, for sufficiently small data.…”

“…The model studied in this article was used by many authors to model fibre suspension flows, polymers,... [2,3,14,[16][17][18]. This model will be suitable to model blood in the region under consideration as the primary rouleaux formations are assumed rigid and short and contact between rouleaux is not frequent.…”

“…Munganga et al [16][17][18] studied the thermodynamic stability, existence and uniqueness of solutions in the absence of body forces. Existence and uniqueness, both locally and globally in time, of solutions to the governing equations for suspension flows, were established for sufficiently small data.…”