“…Further, we follow the work of many recent authors by assuming that c = (l + j/2)j = l(1 + K/2)j, where K = j/l is the micropolar or material parameter and j = m/a as a reference length. This assumption is invoked to allow the field of equations predicts the correct behavior in the limiting case when the microstructure effects become negligible and the total spin N reduces to the angular velocity [42] or [44]. The momentum, angular momentum and energy equations can be transformed into the corresponding ordinary differential equations by the following similarity variables w ¼ ðamÞ 1=2 xf ðgÞ; N ¼ xaða=mÞ 1=2 gðgÞ…”
“…Further, we follow the work of many recent authors by assuming that c = (l + j/2)j = l(1 + K/2)j, where K = j/l is the micropolar or material parameter and j = m/a as a reference length. This assumption is invoked to allow the field of equations predicts the correct behavior in the limiting case when the microstructure effects become negligible and the total spin N reduces to the angular velocity [42] or [44]. The momentum, angular momentum and energy equations can be transformed into the corresponding ordinary differential equations by the following similarity variables w ¼ ðamÞ 1=2 xf ðgÞ; N ¼ xaða=mÞ 1=2 gðgÞ…”
“…It is worth mentioning here that relation (6) is invoked to allow equations (1)-(4) to predict the correct behavior in the limiting case when microstructure effects become negligible, and the micro rotation, N, reduces to the angular velocity (Yücel 1989). It is also worth mentioning that the case K = 0 describes the classical Navier-Stokes equations for a viscous and incompressible Newtonian fluid.…”
Section: Governing Equations and Numerical Methodsmentioning
“…This assumption is invoked to allow the field of equations predicts the correct behavior in the limiting case when the microstructure effects become negligible and the total spin N reduces to the angular velocity (see [4] or [5]). In order to obtain the similarity solutions of Eqs.…”
Section: Basic Equationsmentioning
confidence: 99%
“…The boundary layer flow of a micropolar fluid has received considerable attention until recently and has been investigated under various physical conditions (cf. [4][5][6][7][8][9][10]). …”
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