D'Alembert's paradox - meaning and definition. What is D'Alembert's paradox
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What (who) is D'Alembert's paradox - definition


D'Alembert's paradox         
  • Jean le Rond d'Alembert (1717-1783)
  • Steady and separated incompressible potential flow around a plate in two dimensions,<ref>Batchelor (2000), p. 499, eq. (6.13.12).</ref> with a constant pressure along the two free streamlines separating from the plate edges.
  • wake]],<br>
•5: post-critical separated flow, with a turbulent boundary layer.
  • Pressure distribution for the flow around a circular cylinder. The dashed blue line is the pressure distribution according to [[potential flow]] theory, resulting in d'Alembert's paradox. The solid blue line is the mean pressure distribution as found in experiments at high [[Reynolds number]]s. The pressure is the radial distance from the cylinder surface; a positive pressure (overpressure) is inside the cylinder, towards the centre, while a negative pressure (underpressure) is drawn outside the cylinder.
  • circular]] cylinder in a uniform onflow.
THE THEOREM THAT, FOR INCOMPRESSIBLE AND INVISCID POTENTIAL FLOW, THE DRAG FORCE IS 0 ON A BODY MOVING WITH CONSTANT VELOCITY RELATIVE TO THE FLUID, IN CONTRADICTION TO REAL LIFE, WHERE VISCOSITY CAUSES SUBSTANTIAL DRAG, ESPECIALLY AT HIGH VELOCITIES
D'Alembert's Paradox; D'Alembert paradox; Hydrodynamic paradox; D'Alembert Paradox; D'Alemberts Paradox; D'Alemberts' Paradox; Dalembert's Paradox; Hydrodynamical paradox; Hydrodynamics paradox; D'alembert's Paradox
In fluid dynamics, d'Alembert's paradox (or the hydrodynamic paradox) is a contradiction reached in 1752 by French mathematician Jean le Rond d'Alembert.Jean le Rond d'Alembert (1752).
Paradox (literature)         
LITERARY DEVICE; ANOMALOUS JUXTAPOSITION OF INCONGRUOUS IDEAS FOR THE SAKE OF STRIKING EXPOSITION OR UNEXPECTED INSIGHT
Paradox of poetry; Literary paradox
In literature, the paradox is an anomalous juxtaposition of incongruous ideas for the sake of striking exposition or unexpected insight. It functions as a method of literary composition and analysis that involves examining apparently contradictory statements and drawing conclusions either to reconcile them or to explain their presence.
Curry's paradox         
A PARADOX IN WHICH AN ARBITRARY CLAIM F IS PROVED FROM THE MERE EXISTENCE OF A SENTENCE C THAT SAYS OF ITSELF “IF C, THEN F”
Curry's Paradox; Löb's paradox; Loeb's paradox; Lob's paradox; Curry paradox; Löb paradox; Lob paradox; Loeb paradox; Currys paradox; Curry’s paradox
Curry's paradox is a paradox in which an arbitrary claim F is proved from the mere existence of a sentence C that says of itself "If C, then F", requiring only a few apparently innocuous logical deduction rules. Since F is arbitrary, any logic having these rules allows one to prove everything.