How Do You Calculate the Temperature Rise of a Bimetallic Strip in an MCB?

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The discussion focuses on calculating the temperature rise of a bimetallic strip in a miniature circuit breaker (MCB) when a specific current is applied. The user has the necessary physical properties of the strip and has attempted to use the formula MC(dT)=I^2Rt to estimate temperature rise. However, they note that this formula only accounts for heat generated and does not consider heat loss to the environment or variations in resistivity over time. To improve accuracy, it is suggested to include a convective heat transfer term with an estimated heat transfer coefficient. This highlights the need for a more comprehensive approach to account for environmental factors in the calculation.
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I am studying the bimetallic strip used in MCB.
I am trying to theoretically calculate the temperature rise of the strip when 1.13In (safe value of current for which the MCB shouldnot trip) is passed through the bimetallic strip. I am having the dimensions, resistivity, modulus of elasticity, flexivity, density of the strip.

I even have the practical values with me for ever few secons of current passed.
I tried to use the relation MC(dT)=I^2Rt
that is all the heat generated is used in the temperature rise.
But practically other things need to be considered like heat loss with environment, also the above formula holds good for only few seconds and here the resistivity I have taken constant will also vary.
Please help me out with a relevant solution.
 
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To correct the equation being used, one would need to include a convective heat transfer term, using an estimated heat transfer coefficient to the surroundings.
 
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