Power series for normal stress differences of polymeric liquids in large-amplitude oscillatory shear flow
Exact solutions for normal stress differences in polymeric liquids subjected to large-
amplitude oscillatory shear flow (LAOS) contain many Bessel functions, each appearing in
infinite sums. For the simplest relevant model of a polymeric liquid, the corotational Maxwell
fluid, Bessel functions appear 38 times in the exact solution. By relevant, we mean that
higher harmonics are predicted in LAOS. By contrast, approximate analytical solutions for
normal stress differences in LAOS often take the form of the first few terms of a power series …
amplitude oscillatory shear flow (LAOS) contain many Bessel functions, each appearing in
infinite sums. For the simplest relevant model of a polymeric liquid, the corotational Maxwell
fluid, Bessel functions appear 38 times in the exact solution. By relevant, we mean that
higher harmonics are predicted in LAOS. By contrast, approximate analytical solutions for
normal stress differences in LAOS often take the form of the first few terms of a power series …
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