Quick Answer
Calculate One-Group Diffusion Theory Radial Neutron Flux Profile for Finite Cylindrical Reactor Core
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One-Group Diffusion Theory Radial Neutron Flux Profile for Finite Cylindrical Reactor Core calculator computes Radial neutron flux profile value at (r,z) in 1/(cm²·s) using the defined engineering formula and the input values provided. Radial neutron flux profile value at (r,z) is expressed in 1/(cm²·s). No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Radial position from core center = 0
- Axial position from core midplane = 0
- Core radius = 1.5
- Core half-height (distance from midplane to top/bottom reflector interface) = 2
- Neutron flux at core center (r=0, z=0) = 100000000000000
Expected Result:
- Radial neutron flux profile value at (r,z) = 100000000000000
Engineering Interpretation:
Under the given input conditions, the calculated result is: Radial neutron flux profile value at (r,z) = 100000000000000 1/(cm²·s).
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
r,z = radial position from core center=0, axial position from core midplane=0 * pow(1 - pow(radial position from core center / core radius, 2), 0.5) * cos(3.14159265358979 * axial position from core midplane / (2 * distance from midplane to top/bottom reflector interface))Formula family: formula_nuclear_radial_neutron_flux_profile_calculator_for_cylindrical_core_geometry
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| r | Radial position from core center | INPUT | Radial position from core center |
| z | Axial position from core midplane | INPUT | Axial position from core midplane |
| r_core | Core radius | INPUT | Core radius |
| h_core | Core half-height (distance from midplane to top/bottom reflector interface) | INPUT | Core half-height (distance from midplane to top/bottom reflector interface) |
| neutron_flux_center | Neutron flux at core center (r=0, z=0) | INPUT | Neutron flux at core center (r=0, z=0) |
| neutron_flux_radial_profile | Radial neutron flux profile value at (r,z) | OUTPUT | Radial neutron flux profile value at (r,z) |
Calculation Steps
- Enter the radial position from core center in m.
- Enter the axial position from core midplane in m.
- Enter the core radius in m.
- Enter the core half-height (distance from midplane to top/bottom reflector interface) in m.
- Enter the neutron flux at core center (r=0, z=0) in 1/(cm²·s).
- Step 1: Compute radial neutron flux profile value at (r,z).
- Read the radial neutron flux profile value at (r,z) (1/(cm²·s)) from the results.
Engineering Summary
Calculate One-Group Diffusion Theory Radial Neutron Flux Profile for Finite Cylindrical Reactor Core
Frequently Asked Questions
What does this calculator calculate?
The One-Group Diffusion Theory Radial Neutron Flux Profile for Finite Cylindrical Reactor Core calculator estimates Radial neutron flux profile value at (r,z) based on the input parameters you provide
Why is radial position from core center important in this calculation?
radial position from core center is used directly in the calculation of radial neutron flux profile value at (r,z). Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter radial position from core center in m, the calculator uses it in the engineering formula to compute the output
How should I interpret the result radial neutron flux profile value at (r,z)?
The calculator outputs radial neutron flux profile value at (r,z) in 1/(cm²·s). The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Radial position from core center (m), Axial position from core midplane (m), Core radius (m), Core half-height (distance from midplane to top/bottom reflector interface) (m), Neutron flux at core center (r=0, z=0) (1/(cm²·s)). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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