A remark on similarity analysis of boundary layer equations of a class of non-Newtonian fluids

作者：Patil Vishwambhar S^*; Patil Nalini S; Timol M G

来源：International Journal of Non-Linear Mechanics, 2015, 71: 127-131.

DOI：10.1016/j.ijnonlinmec.2014.10.022

• Non-Newtonian fluids
• Power-law fluid
• Implicit fluid theory
• Reiner-Philippoff fluids
• Similarity solutions

A similarity analysis of three-dimensional boundary layer equations of a class of non-Newtonian fluid in which the stress, an arbitrary function of rates of strain, is studied. It is shown that under any group of transformation, for an arbitrary stress function, not all non-Newtonian fluids possess a similarity solution for the flow past a wedge inclined at arbitrary angle except Ostwald-de-Waele power-law fluid. Further it is observed, for non-Newtonian fluids of any model only 90 degrees of wedge flow leads to similarity solutions. Our results contain a correction to some flaws in Pakdemirli's [14] (1994) paper on similarity analysis of boundary layer equations of a class of non-Newtonian fluids.

• 出版日期2015-5