Assertion (A): After the fluid has re-established its flow pattern dow...
Ans. (d) There is a loss of energy due to eddy formation and turbulence. This is the
reason for that pressure is less than that it had upstream of the orifice plate.
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Assertion (A): After the fluid has re-established its flow pattern dow...
Bernoulli's Equation and Orifice Plate Flow
Bernoulli's equation is a fundamental equation in fluid mechanics that relates the pressure, velocity, and elevation of a fluid flowing in a closed system. An orifice plate is a device that is commonly used to measure the flow rate of a fluid in a pipe. The orifice plate creates a pressure drop in the fluid, which is related to the flow rate.
Assertion (A)
The assertion states that after the fluid has re-established its flow pattern downstream of an orifice plate, it will return to the same pressure that it had upstream of the orifice plate. This assertion is false.
Reason (R)
The reason states that Bernoulli's equation, when applied between two points having the same elevation and same velocity, gives the same pressure at these points. This reason is true.
Explanation
The pressure drop that occurs across an orifice plate is related to the flow rate of the fluid. This pressure drop is not recoverable, and the pressure downstream of the orifice plate will be lower than the pressure upstream of the orifice plate. Therefore, assertion (A) is false.
Bernoulli's equation is applicable when the velocity of the fluid is constant along a streamline, and there are no losses due to friction or other factors. In the case of an orifice plate, there are losses due to friction and turbulence, which means that Bernoulli's equation is not strictly applicable. However, if the fluid is flowing through a straight section of pipe and there are no significant losses, Bernoulli's equation can be used to relate the pressure drop across the orifice plate to the flow rate.
Conclusion
In conclusion, assertion (A) is false, and reason (R) is true. The pressure downstream of an orifice plate will be lower than the pressure upstream of the orifice plate due to the pressure drop that occurs across the orifice plate. Bernoulli's equation can be used to relate the pressure drop to the flow rate, but it is not strictly applicable in the case of an orifice plate due to losses.
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