Fluid flow/heat transfer Area dilemma

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SUMMARY

The discussion clarifies the distinction between area calculations in fluid flow and heat transfer. For fluid flow, the cross-sectional area is calculated using the formula A=(πD²)/4, where D is the diameter. In contrast, for heat transfer across a tubular surface, the area is determined using A=πDL, incorporating both diameter and length. Understanding when to apply each formula is crucial for accurate calculations in engineering applications.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Knowledge of heat transfer concepts
  • Familiarity with area calculations in geometry
  • Basic proficiency in engineering mathematics
NEXT STEPS
  • Study the derivation of the fluid flow area formula A=(πD²)/4
  • Explore the application of the heat transfer area formula A=πDL in practical scenarios
  • Learn about calculating fluid velocity from volumetric flow rate
  • Investigate the relationship between heat transfer coefficients and fluid flow rates
USEFUL FOR

Engineers, students in mechanical or civil engineering, and professionals involved in fluid dynamics and heat transfer applications will benefit from this discussion.

williamcarter
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Homework Statement


I have a confusion regarding areas.
Usually in fluid flow I am using the A=(pi*D^2)/4
However in heat transfer we usually use A=pi*D*L

Could you please explain this?I mean in first case(fluid flow) it is cross sectional area and in the 2nd case(heat transfer) is like the whole area.
Why is like that?

Could you please explain how to know when to use each formula of area?For example in this exercise regarding a pipe :
ImesfST.jpg

My question is which of the Area formulas we need to use in this problem?
We should use area A=pi*D*L right? Because it regards heat transfer.
However we do not know the Length L in the upper exercise.


Homework Equations


A=pi*D^2/4(fluid flow)
A=pi*D*L(heat transfer)

Where D=diameter
L=length

The Attempt at a Solution


I would like to be more confident in choosing the area formula , because I am confused.
Thank you in advance[/B]
 
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There are two parts to the calculations. When you are looking at the fluid flow to calculate the heat transfer coefficient for the flow within the tube, you need to know the fluid velocity. To get this, divide the volumetric flow rate by the cross sectional area of the tube. When you are looking at the heat transfer across a surface, you need to determine that area of the surface. For a tubular surface, that's ##\pi DL##.
 
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Chestermiller said:
There are two parts to the calculations. When you are looking at the fluid flow to calculate the heat transfer coefficient for the flow within the tube, you need to know the fluid velocity. To get this, divide the volumetric flow rate by the cross sectional area of the tube. When you are looking at the heat transfer across a surface, you need to determine that area of the surface. For a tubular surface, that's ##\pi DL##.
Thank you, yes it makes sense.
 

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