State bernulli theorem.prove that the energy possessed by an ideal liquid is conserved
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State bernulli theorem.prove that the energy possessed by an ideal liquid is conserved
In a pipe of varying diameter in which an ideal fluid is flowing, there's an increment in the kinetic energy of each particle as it reaches a region of lower cross section from a higher cross section in the pipe. Following the law of conservation of energy, there should be an energy transfer in some way which allows this increment in kinetic energy; the energy stored by virtue of pressure in the fluid is said to provide this energy but in an ideal fluid, there can't be any energy stored though pressure...so considering an ideal fluid in this situation, where does this energy come from? E.g in this case of an ideal fluid flow - This additional K.E by virtue of y cannot come though conversion of pressure to K.E since an ideal fluid cannot store energy using pressure.
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Answer:
Explanation:
In a pipe of varying diameter in which an ideal fluid is flowing, there's an increment in the kinetic energy of each particle as it reaches a region of lower cross section from a higher cross section in the pipe. Following the law of conservation of energy, there should be an energy transfer in some way which allows this increment in kinetic energy; the energy stored by virtue of pressure in the fluid is said to provide this energy but in an ideal fluid, there can't be any energy stored though pressure...so considering an ideal fluid in this situation, where does this energy come from? E.g in this case of an ideal fluid flow diagram in attachment - This additional K.E by virtue of y cannot come though conversion of pressure to K.E since an ideal fluid cannot store energy using pressure. I've tried by best to explain the situation, but if you still do not understand, please complaint. Flow energy. The pressure is acting on the area of a fluid element (a force) which causes it to move some distance (d) which results in work. Since the total energy is constant, and, in this case equal to,
P/γ + v ^2 /2 g
the KE must increase since the flow energy has decreased in order to satisfy the Conservation of Energy.
