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P. Liu
Fig. 1.12 Daniel Bernoulli (1700~1782, Swiss mathematician and fluid dynamician)
In 1738, the Swiss scientist Daniel Bernoulli (1700–1782, as shown in
Fig. 1.12) established the particle kinetic energy theorem along two sections
of the same micro-element flow tube and derived the conservation equation of mechanical energy for an one-dimensional flow, which is the famous
energy equation for a steady flow of ideal fluid (hereinafter referred to as
the Bernoulli equation). In 1757, Leonhard Euler (1707–1783, as shown in
Fig. 1.13), the Swiss mathematician, extended this equation to compressible
flows. For the steady flow of ideal incompressible fluid, the total mechanical energy of fluid particles per unit weight along the same streamline is
Fig. 1.13 Leonhard Euler (1707~1783, Swiss mathematician and fluid dynamician)
P. Liu
Fig. 1.12 Daniel Bernoulli (1700~1782, Swiss mathematician and fluid dynamician)
In 1738, the Swiss scientist Daniel Bernoulli (1700–1782, as shown in
Fig. 1.12) established the particle kinetic energy theorem along two sections
of the same micro-element flow tube and derived the conservation equation of mechanical energy for an one-dimensional flow, which is the famous
energy equation for a steady flow of ideal fluid (hereinafter referred to as
the Bernoulli equation). In 1757, Leonhard Euler (1707–1783, as shown in
Fig. 1.13), the Swiss mathematician, extended this equation to compressible
flows. For the steady flow of ideal incompressible fluid, the total mechanical energy of fluid particles per unit weight along the same streamline is
Fig. 1.13 Leonhard Euler (1707~1783, Swiss mathematician and fluid dynamician)