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Bernoulli equation and the competition of elastic and inertial pressures in the potential flow of a second-order fluid

Daniel D. Joseph

Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455 (USA)

(Received Decemeber 16, 1991)


A Bernoullis equation for potential flow of a second order fluid is derived. This equation is used to form an expression for normal extensional stresses at points of stagnation, in which elastic and inertial pressures complete.

Keywords: Bernoullis equation; normal extensional stresses; second order fluid