Research Article

A New Approach for the Solution of Three-Dimensional Magnetohydrodynamic Rotating Flow over a Shrinking Sheet

Table 3

Comparison of the values of wall shear stresses š‘“ ī…Ÿ ( āˆ’ 1 ) , š‘” ī…ž ( āˆ’ 1 ) with the numerical solution for different orders of the SHAM approximation when š¾ is varied with ā„ = āˆ’ 1 , šœ† = 0 . 5 , š‘… = 0 . 2 , and š‘€ = 0 . 5 .

š¾ š‘“ ī…Ÿ ( āˆ’ 1 ) š‘” ī…ž ( āˆ’ 1 )
2nd order 4th order Numerical 2nd order 4th order Numerical

0.0 1 . 2 9 0 7 7 8 1 . 2 9 0 7 7 8 1 . 2 9 0 7 7 8 āˆ’ 0 . 0 0 0 0 0 0 āˆ’ 0 . 0 0 0 0 0 0 āˆ’ 0 . 0 0 0 0 0 0
0.5 1 . 2 9 0 7 6 8 1 . 2 9 0 7 6 8 1 . 2 9 0 7 6 8 āˆ’ 0 . 2 0 4 0 7 0 āˆ’ 0 . 2 0 4 0 7 0 āˆ’ 0 . 2 0 4 0 7 0
1.0 1 . 2 8 9 6 2 9 1 . 2 8 9 6 2 9 1 . 2 8 9 6 2 9 āˆ’ 0 . 8 0 8 7 2 1 āˆ’ 0 . 8 0 8 7 2 1 āˆ’ 0 . 8 0 8 7 2 1
1.5 1 . 2 6 7 8 7 6 1 . 2 6 7 8 7 6 1 . 2 6 7 8 7 6 āˆ’ 1 . 7 5 8 2 8 8 āˆ’ 1 . 7 5 8 2 8 8 āˆ’ 1 . 7 5 8 2 8 8
2.0 1 . 1 3 8 1 3 5 1 . 1 3 8 1 3 7 1 . 1 3 8 1 3 7 āˆ’ 2 . 9 3 9 8 6 8 āˆ’ 2 . 9 3 9 8 6 5 āˆ’ 2 . 9 3 9 8 6 5
2.5 0 . 7 8 3 8 6 0 0 . 7 8 3 8 6 9 0 . 7 8 3 8 6 9 āˆ’ 4 . 3 0 2 7 5 4 āˆ’ 4 . 3 0 2 7 4 4 āˆ’ 4 . 3 0 2 7 4 4
3.0 0 . 1 7 6 7 5 5 0 . 1 7 6 7 7 1 0 . 1 7 6 7 7 1 āˆ’ 5 . 8 8 5 6 5 5 āˆ’ 5 . 8 8 5 6 3 9 āˆ’ 5 . 8 8 5 6 3 9
3.5 āˆ’ 0 . 6 6 4 1 6 4 āˆ’ 0 . 6 6 4 1 4 6 āˆ’ 0 . 6 6 4 1 4 6 āˆ’ 7 . 7 2 1 0 6 8 āˆ’ 7 . 7 2 1 0 5 1 āˆ’ 7 . 7 2 1 0 5 1
4.0 āˆ’ 1 . 7 4 0 0 6 6 āˆ’ 1 . 7 4 0 0 4 9 āˆ’ 1 . 7 4 0 0 4 9 āˆ’ 9 . 8 1 2 3 3 7 āˆ’ 9 . 8 1 2 3 2 2 āˆ’ 9 . 8 1 2 3 2 2