How to calculate heat flux in a hot water tank

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Discussion Overview

The discussion focuses on calculating the heat flux on the bottom plate of a hot water tank, exploring both theoretical and practical approaches to the problem. Participants inquire about the conditions of the tank, such as insulation and positioning, and discuss methods for calculating heat transfer.

Discussion Character

  • Technical explanation
  • Exploratory

Main Points Raised

  • One participant suggests using the formula (m*c*t)/area to calculate heat flux, but seeks confirmation on its correctness.
  • Another participant asks for clarification on whether the tank is insulated and if it is sitting on the ground, indicating that these factors may influence the calculation.
  • A participant confirms the tank is insulated and on the ground, then asks how to find the heat flux given that the upper surface of the plate is in contact with hot water.
  • A later reply provides a formula for calculating heat loss, q = U A (T-water - T-outside), and defines the variables involved, including the heat transfer coefficient and its components.
  • The same reply also offers to assist in determining the necessary values for the calculation, indicating a willingness to engage further on the topic.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the best method for calculating heat flux, and multiple approaches and considerations are being discussed.

Contextual Notes

The discussion includes assumptions about the tank's insulation and positioning, which may affect the heat transfer calculations. The heat transfer coefficient's dependence on various factors is also noted but not resolved.

chetanladha
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Hi.
I wish to calculate the heat flux on a bottom plate of a hot water tank. Would simply (m*c*t)/area give me the correct results.
Please help?
 
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Is the bottom plate sitting on the ground or elevated? Is the tank insulated?
 
Thank you for your response.
Yes the tank is insulated,and sitting on ground.

Now the upper surface of plate is in contact with the fluid (hot water). How can i find the heat flux?
 
chetanladha said:
Thank you for your response.
Yes the tank is insulated,and sitting on ground.

Now the upper surface of plate is in contact with the fluid (hot water). How can i find the heat flux?
There are some nice "freeware" packages that will compute this. PM me if you are interested.

If you want to calculate it yourself, do this:

q = U A (T-water - T-outisde)

where,

q = heat loss
U = heat transfer coefficient
A = surface area
T-water = water temperature inside tank
T-outside = outside air temperature.

The heat transfer coefficient is given by:

U = 1 / [ 1/hi + twall/kwall + tins/kins + 1/ho ]

where,

hi = natural convection heat transfer coefficient on inside of tank
twall = tank wall thickness
kwall = tank thermal conductivity
tins = insultation thickness
kins = insulation thermal conductivity
ho = natural convection heat transfer coefficient on outside of tank

Let me know if you need any help figure these values out.
 

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