Why Silver-Plating Is a Spectacularly Bad Idea for FLiBe
Fig. 23 assumes a pristine 92% reflectivity silver-plated sphere as the mirror cavity. Beautiful optics, sureā¦if youāre operating in a vacuum. But in a real-world BSF reactor filled with molten FLiBe (~750-850°C, highly corrosive, and loaded with fluorine), silverās tenure would last about as long as an uncoated marshmallow in a blast furnace.
Hereās the breakdown of this fantasy:
Chemistry Fail #1: Molten FLiBe aggressively attacks most metals. Silver, in particular, reacts violently with fluorine, forming volatile silver fluoride. FLiBeās full of it. Expect rapid formation of AgF, a compound with all the sticking power of dry ice on Teflon. Youāll get silver vapor, flakes, or a smoldering soupāpick your failure mode.
Thermal Fail #2: Silver melts and diffuses at 960°C. Any surface āfinishā modeled in Fig. 23 would degrade catastrophically under reactor conditions. Even if you plate it with care, itāll last about as long as an oatmeal patch on a leaky roof.
Surface Fail #3: Silver doesnāt build a protective oxide. Once corrosion starts, itās open season. Thereās no passivating oxide layer to slow the damage.
Optical Fail #4: Doesnāt matter how many bounces you simulateāif the mirror coating doesnāt survive contact with FLiBe, your model is toast. Even thin films are fatalāyou lose more than reflectivity; you lose function.
You want the mirror to survive in FLiBe? Skip the silver, and start looking at high-Ni alloys, TZM, tungsten, or other refractory metals.
Chemistry Pass ā Unlike Ag, Ir will neither dissolve nor delaminate. It is nonvolatile, only forming IrFā slowly. It has a redox potential lower than gold and higher than W ā survivable in moderately oxidizing salt.
Thermal Pass ā Melting point: 2446 °C. Thatās nearly 2.5Ć silver. No phase change issues near 850 °C. Stays solid and dense under reactor conditions.
Surface Pass ā Iridium (Ir) is one of the most corrosion-resistant metals known. Itās considered chemically inert to fluorides at moderate temperatures (~700ā900 °C).
Optical Compromise ā Reflectivity at 1050 nm: ~82%. Lower than Ag (92%), but stable across temp.
So yeah ā silverās toast. Iridiumās not flawless, but it survives the salt, the heat, and the optics long enough to matter.
Cone-shaped pipes for ālow-speed settling chambersā? Adorable. Letās pretend molten FLiBe behaves like chamomile tea being poured into fine chine, because nothing say laminar flow like shoving molten, radioactive lava into the belly of a violently burping and benching thermonuclear blast chamber. No, this isnāt herbal tea-itās dense, corrosive, and eager to strip metal faster than your CFD software can say convergence error.
The thermal gradient (750 K - 300 K) will twist and torque the metal of your sphere like a stress-relief toy at a balloon animal festival. It will not āsettleā into harmony-itāll rattle itself apart like a cheap washing machine on spin cycle.
After a few months of heat cycling, vibration, and neutron hammering, those mirrored surfaces will reflect like the inside of a Halloween fun house, and the fiber optics beam paths will be alligned like a drunken disco ball.
Thanks Red, I love your negativity. But this issue was previously addressed elsewhere, where assumptions where listed and the conclusion was posted:
That example assumed thick, corn-syrupy FLiBe. A thinner mixture with water-like viscosity can be produced by adding LiF or increasing the LiF/BeF2 ratio. Because low-viscosity mixtures can circulate more efficiently through heat-exchangers, they are more desirable. Regardless, with two additional control-parameters (flow velocity & pipe diameter), adjusting the Reynolds number to maintain laminar flow should be easy.
In a typical power plant, the coolant circulates 1 to 3 meters per second. In my example (above), the coolant flows 0.08 m/s. That, arbitrary chosen flow rate, leaves lots of room for increased capacity. However, an increased flow rate may not be necessary, because the thermal output is already substantial:
To be clear, that ātiny fractionā still equates to 204 sticks of dynamite (1/5 of 1020)ānot a firecracker.
Instead of hand-waving, letās do the math. The maximum pressure this reactor can withstand (before rupture) is governed by thin-walled pressure vessel theory:
If the sphere is cut in half, force equilibrium requires that
\pi (r_o^2-r_i^2)\sigma = \pi r_i^2P
Solving for P:
P = \frac {(r_o^2-r_i^2)}{r_i^2}\sigma = \text {253 MPa}
For Americans, 253 MPa is ~36700 psi.
Because pressure is energy-density, we can calculate the amount of energy (E=PV) this represents, assuming that this pressure is uniformly distributed throughout the sphere: E = P\frac {4}{3}\pi r^3 = 17 GigaJoules! So, to burst the sphere, it would require 700x more energy than in the dynamite (204 MJ).
Conclusion: containing fusion yields of 1.02 GJ (equivelent to 3 mg of DT) pose no threat to this hypothetical BSF reactor.
Nonsense! The sphere below has a 25 cm thick metal wall with a \frac {5}{25} \frac {\text {K}}{\text {cm}} thermal gradient, untroubled by any of your rediculous make-believe problems.
Here, a zirconia insulator is located at the tip of each standoff rod. Each tip supports one free-standing piezoelectric stack actuator, so the attachment is secure, pre-stressed, shielded from excessive heat, and individually ballasted with a heavy stabilizing weight.
The metal standoff rods do not experience any thermal stress because they are free to expand and contract radially during tempeature changes. The key lies in the absence of mechanical constraint. Thermal stress arises only when expansion or contraction is restricted. If you heat a rod lying on a frictionless table, it just gets longerāno drama, no stress.