Solution of the Boundary Layer Equation of the Power-Law Pseudoplastic Fluid Using Differential Transform Method

Table 3

The solution of 𝑓(𝜂) for 𝑛=0.7 when 𝜂_∞=10 and 𝑁=10.

	Approximate solution
0≤𝜂<1	𝑓𝜂=0.1793𝜂^2−0.0008𝜂^5+0.0000𝜂^8+⋯,
1≤𝜂<2	𝑓𝜂=0.1784+0.3546𝜂−1+0.1716𝜂−1^2−0.0074𝜂−1^3−0.0033𝜂−1^4+⋯,
2≤𝜂<3	𝑓𝜂=0.6937+0.6617𝜂−2+0.1290𝜂−2^2−0.0197𝜂−2^3−0.0018𝜂−2^4+⋯,
3≤𝜂<4	𝑓𝜂=1.4637+0.8577𝜂−3+0.0679𝜂−3^2−0.0182𝜂−3^3−0.0021𝜂−3^4+⋯,
4≤𝜂<5	𝑓𝜂=2.3733+0.9481𝜂−4+0.0272𝜂−4^2−0.0090𝜂−4^3−0.0020𝜂−4^4+⋯,
5≤𝜂<6	𝑓𝜂=3.3416+0.9824𝜂−5+0.0098𝜂−5^2−0.0033𝜂−5^3+0.0009𝜂−5^4+⋯,
6≤𝜂<7	𝑓𝜂=4.3312+0.9948𝜂−6+0.0036𝜂−6^2−0.0012𝜂−6^3+0.0003𝜂−6^4+⋯,
7≤𝜂<8	𝑓𝜂=5.3286+0.9993𝜂−7+0.0014𝜂−7^2−0.0004𝜂−7^3+0.0001𝜂−7^4+⋯,
8≤𝜂<9	𝑓𝜂=6.2390+1.0012𝜂−8+0.0006𝜂−8^2−0.0002𝜂−8^3+0.0000𝜂−8^4+⋯,
9≤𝜂≤10	𝑓𝜂=7.3307+1.0020𝜂−9+0.0003𝜂−9^2−0.0001𝜂−9^3+0.0000𝜂−9^4+⋯.