the development of poiseuille flow of a pseudoplastic fluid

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104 M.A.M. Al Khatib Figure 2. The velocity profiles of the Carreau model with k =2and for different values of n. velocity 10 9 8 7 6 5 4 3 2 1 0 0 –0.8 –0.6 –0.4 –0.2 0 0.2 0.4 0.6 0.8 1 V Figure 3. The velocity profiles of the Carreau model with k =10and for different values of n. The Arabian Journal for Science and Engineering, Volume 31, Number 1A. January 2006 n=0.3 n=0.5 n=0.8 n=1
velocity 0.6 0.5 0.4 0.3 0.2 0.1 0 -1 -0.8 -0.6 -0.4 -0.2 0 y 0.2 0.4 0.6 0.8 1 M.A.M. Al Khatib Figure 4. The velocity profiles of the Carreau model with k =0.5 and for different values of n (curves from top to bottom are, respectively, n =0.1, 0.2, 0.3, 0.5, 0.8, 1). The velocity profiles in Figures 2 and 3 correspond to the case k>1. They indicate that the velocity gradients near the boundaries diverge as the index n tends to 0. In fact, it is easy to prove from Equation (3.7) for k>1 and small n that |u ′ ◦(±1)| = k 1/n−1 . On the other hand, this divergence does not exist if k
Page 1 and 2: THE DEVELOPMENT OF POISEUILLE FLOW
Page 3: 3. EQUATIONS OF MOTION M.A.M. Al Kh
Page 7 and 8: M.A.M. Al Khatib respectively. Exam
Page 9 and 10: Table 4. The Leading Eigenvalue α

the development of poiseuille flow of a pseudoplastic fluid

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