Similarity solutions of a class of laminar three-dimensional boundary layer equations of power law fluids
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Similar solutions of the boundary layer equations for power law fluids
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Cited by (32)
Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids
2021, Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar FluidsJet with variable fluid properties: Free jet and dissipative jet
2016, International Journal of Non-Linear MechanicsCitation Excerpt :The method is applicable to simultaneous equations also. The major extensions were made possible when the method was reexamined from the point of view of transformation group by Na [18,19]. Extending the method to the case of infinite intervals authors showed that the boundary conditions at the second point must be non-homogeneous if the second point is at infinity.
Similarity solutions of quasi three dimensional power law fluids using the method of satisfaction of asymptotic boundary conditions
2015, Alexandria Engineering JournalCitation Excerpt :Moreover, it is clear from Figs. 1 and 2 that the velocity components increase with the increase in the value of η (see Fig. 3). It is interesting to note that Hansen and Na [5] have derived similarity solution of the considered equations using linear and spiral group of transformations whereas the similarity solution, here, has been derived using more general group theoretic method known as deductive group transformation [22] and has further been solved numerically based on MSABC. Moreover, Patel and Timol [23] have applied MSABC for two dimensional flows.
A remark on similarity analysis of boundary layer equations of a class of non-Newtonian fluids
2015, International Journal of Non-Linear MechanicsCitation Excerpt :On the other hand, it is neither surprising nor anything new to say that similarity solution (through scaling and spiral group of transformations) for three-dimensional boundary-layer flow of power-law fluids past a wedge, inclined at any arbitrary angle exist. This fact was already well established by Na and Hansen [7]. Further author [14] assumed that the similarity transformations he derived (Ref. Equation (3.38) of Pakdemirli [14]), can be applied in general to simplify the equations of motion governing the flow of all non-Newtonian fluids.
Similarity solution in MHD: Effects of thermal diffusion and diffusion thermo on free convective heat and mass transfer over a stretching surface considering suction or injection
2009, Communications in Nonlinear Science and Numerical SimulationCitation Excerpt :The group theoretic method is of wide applicability and is a well accepted method to find the similarity solutions in many physical situations. The first reported by Morgan [19], Birkhoff [20] and later a number of authors like Hansen [21], and Na and Hansen [22] have contributed much to the development of the theory. The method has been applied intensively by Pakdemirli [23], Mukhopadhyay et al. [24] and Layek et al. [25].