Can 25 PSI Methane Flow Through a 3/8 Pipe Meet a 392,000 BTU/hr Demand?

In summary, the governing equations for compressible fluid flow involve calculating the mass flowrate of methane at a given pressure and temperature. The calorific value of methane can be used to determine the required mass flowrate. To calculate the volumetric flowrate, the density of methane at the specified pressure and temperature can be used with empirical equations from sources such as Crane TP410 or local codes.
  • #1
cantabile
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What are the governing equations for compressible fluid flow?
Specifically; methane gas inlet pressure of 25 psi through a 3/8" dia. pipe and I need to relate this to a methane flow of 392,000 BTU/ hr @ 55-60psi 59 F and RH 60% (i.e. ISO 2314) through an as yet undetermined diameter pipe, assume methane has 1,000 BTU/cu. ft. @ ISO 2314. I'm not sure if there's sufficient gas @ 25 psi through the 3/8" tube to meet the demand. Thanks for your insights!
 
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  • #2
First get the mass flowrate of methane. If you know the calorific value in btu/lb (better NCV or LHV), then total heat flowrate/LHV gives you mass flowrate of methane in lb/hr. That is the mass flowrate you require at any pressure. For piping calculation, if you can get an equation that directly deals with mass flowrates, nothing is better. Otherwise, get the density of methane at 25psi (a?g?) and the corresponding temperature and calculate the volumetric flowrate. Use the emperical equations given in Crane TP410 or in your local codes, if any.
 
  • #3


The governing equations for compressible fluid flow are the continuity equation, the momentum equation, and the energy equation. These equations describe the conservation of mass, momentum, and energy in a fluid flow.

In the case of methane gas flows, the compressible Navier-Stokes equations are commonly used to describe the behavior of the gas. These equations take into account the compressibility of the gas and can be solved using numerical methods.

To relate the given information to the methane flow, we can use the ideal gas law, which states that the pressure and volume of a gas are inversely proportional when temperature remains constant. Therefore, we can use the given inlet pressure of 25 psi and the known density of methane (1000 BTU/cu. ft.) to calculate the required inlet volume flow rate.

To determine the required pipe diameter, we can use the Darcy-Weisbach equation, which relates the pipe diameter, fluid flow rate, and fluid properties to the pressure drop in a pipe. By rearranging this equation, we can solve for the required pipe diameter to meet the given flow rate and pressure conditions.

In conclusion, with the given information, it is possible to determine the required pipe diameter to meet the methane flow demand. However, it is important to note that other factors such as pipe length, fittings, and flow restrictions should also be considered in the calculation. It is always recommended to consult a professional engineer for a more accurate and comprehensive analysis.
 

Related to Can 25 PSI Methane Flow Through a 3/8 Pipe Meet a 392,000 BTU/hr Demand?

1. What is a compressible methane flow?

A compressible methane flow is a type of fluid flow where the density of the methane gas changes as it moves through a system. This can occur when the gas is at high pressures and temperatures, causing it to behave more like a gas than a liquid.

2. What factors affect the compressibility of methane flows?

The compressibility of methane flows can be affected by several factors, including pressure, temperature, and the composition of the gas mixture. In general, higher pressures and temperatures will lead to greater compressibility, while the type and concentration of other gases in the mixture can also play a role.

3. What are the applications of studying compressible methane flows?

Studying compressible methane flows can have practical applications in various industries, such as natural gas production, oil refining, and aerospace engineering. Understanding how methane gas behaves under different conditions can help improve the efficiency and safety of these processes.

4. How is the behavior of compressible methane flows modeled?

The behavior of compressible methane flows is often modeled using the Navier-Stokes equations, which describe the conservation of mass, momentum, and energy for a fluid. Other models, such as the ideal gas law and thermodynamic equations, may also be used to understand the behavior of compressible gases.

5. What are some challenges faced when studying compressible methane flows?

One of the main challenges in studying compressible methane flows is accurately predicting and controlling the behavior of the gas under different conditions. This can be complicated by factors such as turbulence, chemical reactions, and changes in the flow geometry. Additionally, experimental data for compressible flows can be difficult to obtain, making it challenging to validate models and theories.

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