Research Article

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

Table 2

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‘€ is varied with ā„ = āˆ’ 1 , šœ† = 0 . 5 , š¾ = 0 . 5 , and š‘… = 0 . 5 .

š‘€ š‘“ ī…Ÿ ( āˆ’ 1 ) š‘” ī…ž ( āˆ’ 1 )
1st-order 2nd order Numerical 1st-order 2nd order Numerical

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