What are the limitationns of bernoulli's theorem?
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According to Bernoulli’s theorem the sum of pressure energy, potential energy and kinetic energy per unit mass is constant at all cross-section in the streamline flow of an ideal liquid. i.e.
Limitations of Bernoulli’s theorem:
1. The above equation has been derived by assuming that the velocity of every element of the liquid across any cross-section of the pipe is uniform. Practically,it is not true. The elements of the liquid in the innermost layer have the maximum velocity. The velocity of the liquid decreases towards the walls of the pipe. Therefore, we should take into account the mean velocity of the liquid.
2. While deriving Bernoulli's equation, the visous drag of the liquid has not been taken into consideration. The viscous drag comes into play, when a liquid is in motion.
3.Bernoulli's equation has been derived on the assumption that there appears no loss of energy, when a liquid is in motion. In fact, some kinetic energy is converted into heat energy and a part of it is lost due to shear force.
4. If the liquid is flowing along a curved path, the energy due to centrifugal force should also be taken into consideration.
Limitations of Bernoulli’s theorem:
1. The above equation has been derived by assuming that the velocity of every element of the liquid across any cross-section of the pipe is uniform. Practically,it is not true. The elements of the liquid in the innermost layer have the maximum velocity. The velocity of the liquid decreases towards the walls of the pipe. Therefore, we should take into account the mean velocity of the liquid.
2. While deriving Bernoulli's equation, the visous drag of the liquid has not been taken into consideration. The viscous drag comes into play, when a liquid is in motion.
3.Bernoulli's equation has been derived on the assumption that there appears no loss of energy, when a liquid is in motion. In fact, some kinetic energy is converted into heat energy and a part of it is lost due to shear force.
4. If the liquid is flowing along a curved path, the energy due to centrifugal force should also be taken into consideration.
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