Whammer method of characteristics

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This shows that while pressure can be negative in terms of Pabs, it cannot be negative in terms of Pgate. This is because Pgate already takes into account the atmospheric pressure.
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abdulsulo
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Hey gus, I am trying to understand concept of Pabs and Pgate.

When we solve during the class a fluid transient problem by method of characteristics we got even -50, -100 m' s of pressure heads at some points along a pipe and If Patm= 10 m. then how can we say pressure can not be negative? Because obviously it does. Please help enlighten me.
Thanks
 
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The concept of Pabs and Pgate can help explain this situation. Pabs is the absolute pressure, which is the sum of Patm (atmospheric pressure) and the pressure head (Phead). Phead is a measure of the pressure in the pipe relative to the atmospheric pressure, so it can be negative. Pgate is the gauge pressure, which is the pressure relative to the atmospheric pressure and cannot be negative. In this case, Pabs would be -50 m and Pgate would be -40 m.
 

1. What is the Whammer method of characteristics?

The Whammer method of characteristics is a mathematical technique used to solve nonlinear partial differential equations. It involves using a set of curves, known as characteristics, to transform the original equation into a system of ordinary differential equations, which can then be solved using traditional methods.

2. How does the Whammer method of characteristics work?

The Whammer method of characteristics works by transforming a partial differential equation into a system of ordinary differential equations using a set of curves known as characteristics. These characteristics are obtained by solving a system of equations derived from the original equation, and they help to simplify the problem and make it easier to solve.

3. What types of equations can be solved using the Whammer method of characteristics?

The Whammer method of characteristics is primarily used to solve nonlinear partial differential equations. However, it can also be applied to linear equations under certain conditions. It is commonly used in fluid mechanics, electromagnetism, and other fields of physics and engineering.

4. What are the advantages of using the Whammer method of characteristics?

The Whammer method of characteristics offers several advantages over other methods of solving partial differential equations. It can handle a wide range of nonlinear equations and is relatively easy to implement. Additionally, it can provide insight into the behavior of the solution and can be used to find exact solutions in some cases.

5. Are there any limitations to the Whammer method of characteristics?

While the Whammer method of characteristics is a powerful tool for solving partial differential equations, it does have some limitations. It is not always possible to find a solution using this method, and it can be computationally expensive for complex equations. Additionally, it may not provide an accurate solution if the characteristics intersect or overlap, which can occur in some cases.

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