What is coolant temperature along z-axis


We have one simplified fuel rod which cylinderical shape. Lets negliect fuel claude and other comoenents of fuel rod. Thediamemter is 1 cm. the length of fuel rod is 3.6 m. The direct of rod is z-axis. At z=0 is bottom of fuel rod and we have inlet temperature Tin = 150 oC trying to cool down the fuel rod with coolant that is water flowing in direct from bootm to top. The pressure coolant is 15Mpa and we have constant leanier heat rate 10kW/m (this heat transfer from fuel rod to water coolant per unit length). The question is, what is coolant temperature along z-axis? what is center line fuel temperature along z-axs? from z = 0 to z = L.

Show me the plot for Tcoolant and TCL (center line)?

Please see below backgound information;

q = heat (assume unit is watt)

q' = linear heat rate (watt / m)

Z = length or height of the fuel

q" = heat flux (w/m2)

As = service area (m2)

Vf = volume fuel (m3)

q.dot = q"' = heat generation rate per leanier volume (w/m3)

q = q' * Z

= q" * As

= qdot * Vf

OR

= q"' * Vf

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Mechanical Engineering: What is coolant temperature along z-axis
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