MULTIPLE SOLUTIONS FOR HYDROMAGNETIC FLOW OF A SECOND GRADE FLUID OVER A STRETCHING OR SHRINKING SHEET

作者：Van Gorder Robert A^*; Vajravelu K

来源：Quarterly of Applied Mathematics, 2011, 69(3): 405-424.

DOI：10.1090/s0033-569x-2011-01211-1

• Similarity solution
• stretching sheet
• shrinking sheet
• Navier-Stokes equations
• exact solution
• hydromagnetic flow
• viscoelastic fluid
• second grade fluid
• multiple solutions

We study a class of fourth-order nonlinear differential equations arising in the hydromagnetic flow of a second grade fluid over a stretching or shrinking sheet. Explicit exact solutions are obtained. Furthermore we show that the differential equation may admit zero or one or two physically meaningful solutions depending on the values of the physical parameters of the model. As a special case, we recover the single or the dual solutions and compare them with the available results in the literature. Also, the obtained multiple solutions for several sets of values of the parameters are presented through tables and graphs, and the qualitative behaviors are discussed.

• 出版日期2011-9