Solve this algebraic equation for 'D' (Hydraulics)

  • Thread starter TimmehTyme
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    Hydraulics
In summary, 'D' in this equation represents the diameter of the pipe in a hydraulic system, and it can be measured in units of length. To solve for 'D', one must isolate it on one side of the equation and simplify using inverse operations and combining like terms. This equation is important in calculating flow rate and pressure in hydraulic systems, and the units for 'D' will depend on the units used for other variables in the equation. It can be used for all types of hydraulic systems, but other factors may also affect the accuracy of the calculation.
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TimmehTyme
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Never mind.
 
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Looks like you've got a fifth order polynomial on your hands. Probably best to solve via graphical or numerical methods.

Why not start by wrestling it into polynomial form f(D) = 0? Don't be afraid to replace the clutter of other variables (which will have constant values for a given D) with new constants that you can define accordingly.
 

1. What is the meaning of 'D' in this equation?

'D' represents the diameter of the pipe in the hydraulic system. It is a variable that can be measured in units of length, such as meters or inches.

2. What are the steps to solve this algebraic equation for 'D'?

The first step is to isolate 'D' on one side of the equation by using inverse operations. Next, simplify both sides of the equation by combining like terms. Then, divide both sides by the coefficient of 'D'. Finally, the solution will be the value of 'D' that makes the equation true.

3. How does this algebraic equation relate to hydraulics?

This equation is a fundamental part of the hydraulic formulas used to calculate the flow rate and pressure of liquids in a hydraulic system. 'D' represents the diameter of the pipe, which is a crucial factor in determining the flow rate and pressure of the liquid.

4. What are the units for 'D' in this equation?

The units for 'D' will depend on the units used for the other variables in the equation. If the flow rate is measured in cubic meters per second and the pressure is measured in Pascals, then the units for 'D' will be meters.

5. Can this equation be used for all types of hydraulic systems?

Yes, this equation can be used for all types of hydraulic systems as long as the variables are measured in consistent units. However, it is important to note that this equation is only one part of a larger set of formulas used in hydraulics, and other factors such as fluid viscosity and pipe material may also affect the accuracy of the calculation.

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