Research Article

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

Table 1

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œ† is varied with ā„ = āˆ’ 1 , š‘€ = 0 . 5 , š¾ = 0 . 5 , and š‘… = 0 . 2 .

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

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