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Complete 5 pages APA formatted article: Fluid Mechanics: The Continuity Equation.
Complete 5 pages APA formatted article: Fluid Mechanics: The Continuity Equation. It is a fact that an enclosed body like a pipe makes the flow of water or any other fluid to have no flow velocity components in a regular direction, as, the enclosed body makes the flow to be also the tangential direction (Sahu and Sahu, 2009). Utilizing the law of conservation of mass, the above phenomenon can be mathematically interpreted as:
On the other hand, Bernoulli’s equation well depicts the change in the flow of fluid at two different points (Sahu and Sahu, 2009). Regarding the above situation, Bernoulli’s equation can be written as:
The theory can be applied with the availability of the Venturi-meter as the apparatus. Venturi meter is used to determine the rate of flow of any fluid if the motion of the fluid remains uniform. The Venturi-meter is designed that a tube with a smaller diameter lies between two tubes of wider diameter. All three are connected. At each of the three sections, narrow tubes are fused that lie perpendicular to the main apparatus as given in Figure 1. The three vertical fused tubes have the responsibility to determine the pressure of the fluid at three sections. Practically, 11 monometers are utilized in the experimentation of the flow rate of the fluid. The apparatus is designed to maintain the flow of water properly. On the other hand, stopwatch is also utilized to measure the interval of time, as the rate is measured with reference to time.
The pressure in the three sections is different that makes the venturi-meter fluctuate, which verifies Bernoulli’s equation.
It is concluded from the experiment that the head loss is caused by the resistance in the flow of the fluid. The increase in the velocity of the fluid is due to the fact the venturi-meter tries to maintain the rate of flow. In this way, it can be said that the energy that makes a fluid flow become constant. It is clearly determined that the flow rate of fluid changes from 132.4 X 10-6 m3/s, 10-liter volume to 464.9 X 10-6 m3/s, 25-liter volume. On the other hand, as the rate of flow increase, the viscous resistance also increases which, consequently amplifies the Head lost from 0 at the volume of 10L to about 0.013m at the volume of 20L and 0.0391m at the volume of 25L.
