Euler’s equation of motiona)is applicable to any fluidb)consider...
→ Reynold’s equation
f
g → Due to gravity
f
p → Due to pressure
f
n → Due to viscosity
f
t → Due to turbulence
ma
x = (fg)x
+ (f
p)
x → Euler’s equation
(Neglected viscous force vand force due to turbulence)
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Euler’s equation of motiona)is applicable to any fluidb)consider...
Leonhard Euler was a Swiss mathematician, physicist, and engineer who made significant contributions to many areas of mathematics. He was born on April 15, 1707, in Basel, Switzerland, and died on September 18, 1783, in St. Petersburg, Russia.
Euler is known for his work in various branches of mathematics, including calculus, number theory, graph theory, and geometry. He developed many new mathematical concepts and formulas, and his work laid the foundation for modern mathematics.
One of Euler's most famous contributions is his formula for polyhedra, known as Euler's formula. This formula relates the number of vertices, edges, and faces of a convex polyhedron and is expressed as V - E + F = 2, where V is the number of vertices, E is the number of edges, and F is the number of faces.
Euler also made significant advancements in calculus. He introduced the concept of a mathematical function and developed the notation for differentiation and integration that is still used today. His work in calculus helped pave the way for the development of modern calculus by mathematicians such as Isaac Newton and Gottfried Wilhelm Leibniz.
In addition to his work in mathematics, Euler made important contributions to physics and engineering. He developed the theory of fluid dynamics and made significant advancements in the study of elasticity and the motion of celestial bodies.
Euler's work had a lasting impact on the field of mathematics and his ideas continue to be studied and used by mathematicians today. He is considered one of the greatest mathematicians of all time and his contributions have had a profound influence on the development of modern mathematics.
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