How to solve volumetric heat production formula

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SUMMARY

The volumetric heat production formula for spherical geometry is defined as q=(Σ*Φ*A*C)/V, where V represents the volume, A is the first-wall surface area in cm², C is the energy conversion factor (200 MeV x 1.602189 x 10-13 J), and Σ is the integral fission rate in the first fuel row (fission/neutron). To calculate volume (V) when the triso fraction rate is five percent of the total fuel rod volume, the correct approach is to use V*(5/100) in the calculation of q. This ensures that the core fraction rate is accurately accounted for in the heat production calculations.

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This discussion is beneficial for nuclear engineers, physicists, and researchers involved in reactor design and thermal analysis, particularly those focusing on volumetric heat production in fuel rods.

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For spherical geometry, how can we solve volumetric heat production formula ? q=(Σ*Φ*A*C)/V for example if triso fraction rate is five percent of total fuel rod volume, how can we calculate volume (V) in the formula?
 
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What are A and C? What is the basis of Σ?

Given q=(Σ*Φ*A*C)/V, then V = (Σ*Φ*A*C)/q.
 
A, first-wall surface area [cm2]. C, energy conversion factor (constant),200 [MeV] x 1.602189.10-13[J]. Σ, integral fission rate in the first fuel row [fission/neutron]. I want to ask that whether should we use V*(5/100) or only V while we find q ? Because of core fraction rate in fuel rod. In terms of above example.
 

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