How to understand this equation?

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In summary, the conversation is about interpreting equations in engineering papers. The speaker is looking for an intuitive explanation of a specific equation for volumetric flow rate. However, without a reference or context, it is difficult to provide a thorough explanation. The equation appears to involve fluid flow in pipes and may be related to the Hagen-Poiseuille equation.
  • #1
James Kim
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Hi all,

I'm not good at calculus, but want to interpret intuitively various equations in engineering papers.
One of example is below,

This is an equation for volumetric flow rate.
%C4%B8%C3%B3.JPG


Can anybody explain this equation in a easy way or like literature?James
 
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  • #2
James Kim said:
Hi all,

I'm not good at calculus, but want to interpret intuitively various equations in engineering papers.
One of example is below,

This is an equation for volumetric flow rate.
%C4%B8%C3%B3.JPG


Can anybody explain this equation in a easy way or like literature?James
Without a reference to a paper or book, it is impossible to give you a good explanation of what this equation describes. Throwing out unfamiliar equations without any context is like that, unfortunately.

There are certain equations, like F = ma or E = mc2 which are universal enough that one can make a reasonable interpretation without much additional information, but your sample equation is not one of these.
 
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Likes yunias
  • #3
Try to make sense out of the dimensions. If that's an equation for volumetric flow rate the dimensions must be [L]^3/[t]
 
  • #4
It might help if you said what each of the symbols represents: V, P, z, ω, μ, α
and what the formula is supposed to calculate an in what context.
 
  • #5
It bears a passing resemblance to the Hagen-Poiseuille equation, so I'd hazard a guess that this has something to do with fluid flowing in a pipe (or several pipes, given the summation), but it isn't really a match so I really don't know without any more context.
 

FAQ: How to understand this equation?

What does each variable in the equation represent?

The variables in an equation represent different quantities or values that are related to each other in a mathematical expression. They can represent physical quantities such as time, distance, or temperature, or they can represent abstract concepts like force, energy, or probability.

How do I solve the equation?

The process of solving an equation depends on the type of equation and the specific instructions given. In general, the goal is to isolate the variable you are solving for on one side of the equation, using algebraic operations such as addition, subtraction, multiplication, and division. It is important to follow the order of operations and be careful with signs and terms.

What does the solution to the equation mean?

The solution to an equation is the value or values that make the equation true. This means that when you plug in the solution for each variable in the equation, the resulting expression will be mathematically correct. In some cases, the solution may represent a specific value, while in others it may represent a range of values or a relationship between different variables.

How do I know if my solution is correct?

To check if your solution is correct, you can plug in the values for each variable into the original equation and see if the resulting expression is true. You can also use a calculator or graphing software to graph the equation and see if the solution falls on the graph. If you are still unsure, you can ask a teacher, tutor, or colleague for feedback and assistance.

Can I manipulate the equation to make it easier to understand?

Yes, you can manipulate an equation using algebraic operations to make it easier to understand or solve. However, it is important to remember that any changes made to one side of the equation must also be made to the other side to maintain equality. Additionally, manipulating an equation may lead to a different solution or solution set, so it is important to check your work afterwards.

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