How Do You Calculate Pipe Temperature with Uniform Heating Over Length?

In summary: From there you can get the solution.In summary, the problem involves finding the temperature distribution of water as it flows through a pipe with a diameter of 0.2 cm, a pressure of 8 bar, and a heat flux of 5.0 kW/m². The temperature will need to be plotted as a function of the pipe length, which is 20m. However, the problem may be overspecified as the mass flow rate cannot be determined without additional information. The solution will depend on whether the flow is turbulent or laminar, which can be determined by approximating the Reynolds number. From there, the solution can be found using equations from Bird, Stewart, and Lightfoot's textbook on fluid mechanics.
  • #1
wasaimal
3
0
is anyone help to solve this problem?

Water at a temperature of 20degree C and a pressure 8 bar enters a pipe of dia.0.2 cm.The Pipe uniformly heated with 5.0kW/m². Calculate the Temperature along the pipe for the pipe length of 20m. plot temperatuer as a function of the pipe length. m=0.5 kg/s

wasaimal@hotmail.com
 
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  • #2


This is obviously homework, what are your thoughts on how it needs to be solved?
 
  • #3


I have no clue
 
  • #4


Given
T_in = 20 C^0 Heat Flux = 5.0 kW/m^2
D = 0.2 cm X = Length = 20 m
Pressure = 8 bar Area = (πD^2)/4 = (3.14〖(0.002)〗^2)/4 = 3.14E-〖10〗^6 〖 m〗^2
Calculate
Calculate the Temperature along the pipe for the pipe length.
Plot Temperature as a function of the pipe length.
Energy balanced equation is valid for ant pipe length.
q’ (X) = m ̇ C_p (T_x - T_in)
T_x = T_in + (q’)/(mC_p ) ̇ X
= 20 + 0.0157/(0.5)4180 X = 20 + 7.511E-〖10〗^6 X (It’s a linear distribution along the pipe).

any one check and if i am on correct path?
 
  • #5
wasaimal said:
is anyone help to solve this problem?

Water at a temperature of 20degree C and a pressure 8 bar enters a pipe of dia.0.2 cm.The Pipe uniformly heated with 5.0kW/m². Calculate the Temperature along the pipe for the pipe length of 20m. plot temperatuer as a function of the pipe length. m=0.5 kg/s

wasaimal@hotmail.com

It looks like the problem is overspecified. You can't specify the mass flow rate if you give the pressure drop (presumably 7 bars).

You first need to get a handle on whether the flow is turbulent or laminar by approximating the Reynolds number. If the flow is laminar, Bird, Stewart, and Lightfoot gives the solution for constant flux laminar flow heating of fluid flow in a tube. If the flow is turbulent, they give the equation for the Nussult Number (dimensionless heat transfer coefficient) as a function of the Reynolds Number and Prantdl number.
 

FAQ: How Do You Calculate Pipe Temperature with Uniform Heating Over Length?

What is pipe temperature calculation?

Pipe temperature calculation is the process of determining the temperature of a pipe or pipeline in a given system. It takes into account factors such as the material of the pipe, the flow rate, and the fluid being transported to calculate the temperature at any point along the pipe.

Why is it important to calculate pipe temperature?

Calculating pipe temperature is important for a variety of reasons. It helps to ensure the safe and efficient operation of pipelines, as well as to prevent damage to the pipe and its contents. It also allows for accurate monitoring and control of the temperature in industrial processes.

What factors affect pipe temperature?

Several factors can affect pipe temperature, including the material of the pipe, the fluid being transported, the flow rate, and the ambient temperature. Other factors such as insulation, heat loss, and heat transfer also play a role in determining the temperature of a pipe.

How is pipe temperature calculated?

Pipe temperature can be calculated using various equations and formulas, depending on the specific system and variables involved. Generally, it involves taking into account the energy balance of the system, which considers the heat entering and leaving the pipe, as well as factors such as conduction, convection, and radiation.

What are some common methods for calculating pipe temperature?

Some common methods for calculating pipe temperature include the use of mathematical equations and computer simulations. Other methods may involve using thermal imaging or thermocouples to measure the temperature at different points along the pipe. It is important to select a method that is appropriate for the specific system and variables involved.

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