General equation of velocity along the pipe

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Homework Help Overview

The discussion revolves around a fluid dynamics problem involving a pipe with a changing diameter from 0.5m to 1m over a length of 1m, specifically focusing on deriving a general expression for velocity at different cross sections of the pipe.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between pipe diameter and fluid velocity, with one participant attempting to formulate an expression based on the concept of velocity change due to diameter variation. Others suggest using the equation of continuity and checking dimensional correctness of the proposed equation.

Discussion Status

The discussion is ongoing, with participants providing feedback on the original poster's approach and suggesting alternative methods for consideration. There is an acknowledgment of a diagram that may be relevant to the problem, although its details are not fully visible.

Contextual Notes

There is mention of a missing working or calculations associated with the diagram, which may affect the clarity of the problem setup. Participants are also navigating the implications of the pipe's geometry on fluid velocity.

foo9008
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Homework Statement


A pipe diameter changes from 0.5m to 1m in a length of 1m in a pipe diffuser . If a discharge Q flows from 0.5m diameter towards 1m diamater , obtain the general expression for velocity at the pipe cross section .

Homework Equations

The Attempt at a Solution


since we know that the velocity of fluid in pipe decreases when the size of pipe increases , So , my working is Velocity at the entrance - (difference in velocity between entrance and exit / area of pipe ) , where the area of pipe has the diameter which increases from the entrance ) , i let is as x in my working . Is my working correct ?
 

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You can simply use equation of continuity.
Check if your equation is dimensionally correct.
 
foo9008 said:

Homework Statement


A pipe diameter changes from 0.5m to 1m in a length of 1m in a pipe diffuser . If a discharge Q flows from 0.5m diameter towards 1m diamater , obtain the general expression for velocity at the pipe cross section .

Homework Equations

The Attempt at a Solution


since we know that the velocity of fluid in pipe decreases when the size of pipe increases , So , my working is Velocity at the entrance - (difference in velocity between entrance and exit / area of pipe ) , where the area of pipe has the diameter which increases from the entrance ) , i let is as x in my working . Is my working correct ?
I just see a diagram. If there is any working associated with it, it is not visible.
 
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SteamKing said:
I just see a diagram. If there is any working associated with it, it is not visible.
sorry , here is it
 

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