Dalembert-Euler Paradox definition of Dalembert-Euler Paradox in the Free Online Encyclopedia.

D’alembert-Euler Paradox

a proposition in hydrodynamics according to which there is zero resistant force acting on a body in uniform and rectilinear motion within an unbounded fluid that has no viscosity, eddying, and surface of velocity discontinuity. This principle was stated by the French scientist J. d’AIembert in 1744 and by the St. Petersburg academician L. Euler in 1745. The absence of resistance to the body’s motion by the fluid, under the above hydrodynamic assumptions, is rigorously proved mathematically for both incompressible and compressible fluids. Physically, the absence of resistance is explained by the fact that under these conditions the flow should close in behind the moving body, and thus the fluid exerts an action on the rear portion of the body which balances the action (which always occurs) in the front.

In reality a body moving in a liquid or gas always experiences resistance. The contradiction between reality and the substance of the d’Alembert-Euler paradox is explained by the fact that the assumptions on which the proof of the paradox is constructed are not fulfilled under actual conditions. When a body moves in a fluid there will always be a viscosity of the fluid, eddying (particularly behind the body), and the occurrence of surface of velocity discontinuity. All of these factors cause the fluid to resist the motion of a body.

Mentioned in	?		Encyclopedia browser	?		Full browser	?
No references found			Daladier, Edouard Daladier, Édouard Dalai Lama Dalai-Nur Dalainor Dalalven Dalälven dalan Dalan Dzadagad dalapon Dalatiidae Dalberg, Emmerich Joseph Dalberg, Karl Theodor, Freiherr von Dalcroze, Émile Jaques dale Dale County Dale Hollow Lake State Resort Park Dale, Chester Dale, David Dale, Henry Hallett Dale, Richard Dale, Sir Henry Hallett Dale, Sir Thomas Dalecarlia Uprisings Dalembert's Principle Dalembert-Euler Paradox DAlembert-Lagrange Principle Dalen, Nils Gustaf Dalewscy Daley, Arthur Daley, Richard Daley, Richard J Daley, Richard Joseph Daley, Victor Dalgarno, Alexander Dalgarno, Lord Dalgarno, Lord Malcolm of Dalgetty, Rittmaster Dugald Dalglish Dalhousie Dalhousie University Dalhousie, James Andrew Dalhousie, James Andrew Broun Ramsay, 1st marquess of Dalhousie, James Andrew Broun Ramsay, marquess Dali Dali, Salvador Dalí, Salvador Dalian Dalimil Meziricsky Dalimil Meziricský Dalin, Olof von			Dale Matheson Carr-Hilton LaBonte LLP Dale Rogers Training Center Dale Warland Singers Dale Wood Business Brokers Dale's rule Dale, Chester Dale, David Dale, Henry Hallett Dale, Richard Dale, Sir Henry Hallett Dale, Sir Henry Hallett Dale, Sir Henry Hallett Dale, Sir Thomas Dalea Dalea searlsiae Dalea spinosa Dalecarlia River Dalecarlia Uprisings Daled Daled Daled DALEI Dalek Dalek language Dalek Supreme Command Dalekanium Daleks Dalembert's Principle Dalembert-Euler Paradox DAlembert-Lagrange Principle Dalén Dalen, Nils Gustaf Dales Dales Dales Dales Dales ponies Dales Pony Dales Pony Association of North America dalesman Dalesmen Dalesmen Male Voice Choir Dalestorth Primary and Nursery Dalestorth Primary and Nursery Dalestorth Primary and Nursery School Dalestorth Primary and Nursery School Dalestorth Primary School Dalestorth Primary School Dalestorth School Dalestorth School Dalet daleth Dalewscy Daley Daley, Arthur Daley, Richard Daley, Richard J Daley, Richard Joseph Daley, Victor