Question
Download Solution PDFFor a steady, ideal flow of an incompressible fluid, the total energy at any point of the fluid is constant. This is called _________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
According to the Bernoulli’s theorem-
- The flow is ideal i.e viscosity is zero.
- The flow is steady.
- The flow is incompressible and irrotational.
- Bernoulli’s theorem states that in a steady, ideal flow of an incompressible fluid, the total energy at any point of fluid is constant. The total energy consists of pressure energy, kinetic energy and potential energy or datum energy.
These energies per unit weight of the fluid are-
Pressure energy = \(\frac{p}{\rho g}\)
Kinetic energy = \(\frac{v^2}{2g}\)
Datum energy = z
Thus mathematically, Bernoulli's theorem is written as \(\frac{p}{\rho g}+\frac{v^2}{2g}+z\) = Constant.
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