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kinglk
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i do not understand how the continuity equation works?
kinglk said:that is the problem that i have ran into. on my assignment it does not say. it just ask us to use coninuity equation to explain how jet engines provide a forward thrust for an airplane? i have tried to research it but i am still lost.
part 2 of the question ask us to use Bernoulli's equation and explain hoe it relates to continuity equation?
kinglk said:that is the problem that i have ran into. on my assignment it does not say. it just ask us to use coninuity equation to explain how jet engines provide a forward thrust for an airplane? i have tried to research it but i am still lost.
kinglk said:part 2 of the question ask us to use Bernoulli's equation and explain hoe it relates to continuity equation?
The continuity equation is a mathematical representation of the principle of conservation of mass. It states that the rate of change of mass within a system is equal to the net flow of mass into or out of the system.
The continuity equation is important because it is a fundamental principle in many fields of science, including fluid mechanics, thermodynamics, and electromagnetism. It allows us to understand and predict the behavior of systems where mass is conserved.
The continuity equation can be solved by using the mathematical methods of calculus, specifically the concept of a derivative. The equation can be rearranged and solved for the unknown variable, such as velocity or density.
The continuity equation assumes that the system is closed, meaning that there is no mass entering or leaving the system. It also assumes that the fluid is incompressible, meaning that its density remains constant. Additionally, it assumes that the flow is steady, meaning that the velocity does not change over time.
The continuity equation has many practical applications, such as predicting the flow of fluids in pipes, understanding the behavior of weather systems, and modeling the transport of contaminants in groundwater. It is also used in the design of various engineering systems, such as pumps and turbines.