Similarity solution of free convective boundary-layer behavior at a stretching surface

Symmetry groups and similarity solutions for a free convective boundary-layer problem

“…We have found that, apart from the scaling group, the system admits a group of translations, as well. Concerning the group of scaling and the associated similarity solutions, our results are in full agreement with the work of Fan et al [20]. Moreover, due to the generality of our procedure and the lack of unnecessary assumptions, we have obtained the general form of ).…”

“…Moreover, in order to produce results comparable to Fan et al [20], we set s = (m − 1)=2, where m is an arbitrary parameter. Thus, we examine the case in which the transformation equations are of the following form: where B 0 is a constant.…”

“…The ÿrst one for the case Ä 1 = −1, corresponding to the problem already studied by Fan et al [20] and the second one for the case Ä 1 = −1=2, which corresponds to a magnetic ÿeld depended on both variables x and y.…”

“…Particular variants of this problem have been studied by numerous of researchers since 1961. We mention here the work of [13][14][15][16][17][18][19][20]. It is remarkable that all of them have used the above described heuristic method to obtain the similarity transformations and the associated similarity solutions of the problem.…”

MHD effect of mixed convection boundary-layer flow of Powell-Eyring fluid past nonlinear stretching surface

“…The group theoretic method is a well accepted technique for this purpose [11][12][13][14][15][16][17] . With one parameter group theory, Fan et al [18] found a similar solution for the boundary layer flow of an electrically conducting viscous fluid along a vertically stretching porous flat plate in the presence of magnetic field along with suction or blowing.…”