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Thermal Control Techniques for Improved DT Layering of Indirect Drive IFE TargetsPowerPoint Presentation

Thermal Control Techniques for Improved DT Layering of Indirect Drive IFE Targets

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### Thermal Control Techniques for Improved DT Layering of Indirect Drive IFE Targets

M.S. Tillack and J.E. Pulsifer

University of California, San Diego

D.T. Goodin and R.W. Petzoldt

General Atomics

Objectives Indirect Drive IFE Targets

- Purpose for in-hohlraum layering:
- Layering with capsule already assembled in the hohlraum is advantageous
- Eliminates the need for separate layering device
- Eliminates the need for rapid, precision cryogenic assembly

- Requires highly uniform DT surface temperature (~100mK) for up to several hours
- Need a well controlled temperature profile on hohlraum

- Layering with capsule already assembled in the hohlraum is advantageous
- Objective of our research:
- Determine required temperature profile and suggest method(s) for implementation
- Chillers on staging tubes
- Tailoring of target material properties

- Determine required temperature profile and suggest method(s) for implementation

Overview Indirect Drive IFE Targets

- DT temperature profile with constant T at hohlraum surface: BeBr shell
- DT profile with constant T at hohlraum surface: polystyrene shell
- Relaxed temperature requirements for high-yield targets
- Effect of segmenting the Au layer
- Hohlraum surface temperature profile needed for uniform DT
- Passive control system for obtaining proper surface temperature
- Sensitivity to small variations

Target Design Indirect Drive IFE Targets

- Close-coupled, distributed radiator heavy ion target
- Materials:

A: AuGd <1% denseB: AuGd 100% denseC: Fe 0.2% denseD: (CD2)AuE: AuGd <1% denseF: Al <3% denseG: AuGd <2% denseH: CD2I: Al 2% denseJ: AuGd 4% denseK, L: DTM: BeBr or PolystyreneN: (CD2)Au

From Nuclear Fusion 39(11)D. A. Callahan-Miller and M. Tabak

Axisymmetric ANSYS Model of Target Indirect Drive IFE Targets

FliBe

AuGd

He (used to model all low-density materials)

DT

BeBr or Polystyrene

1. Benchmark with BeBr shell agrees with earlier work. Indirect Drive IFE Targets

- The BeBr shell around the capsule creates a spherical isotherm
- Temperature of the DT outer surface is small and agrees with prior work (3 mK variation at DT surface)

Constant surface temperature = 19.2 K on right boundary

DT ice outer surface temperature

2. Polystyrene shell exhibits much larger DT temp. variations

- Change to polystyrene shell results in 10 mK temperature variation at the DT outer surface
- Is it too much?

Constant surface temperature = 19.2 K on right boundary

DT ice outer surface temperature

3. High-yield capsules can tolerate significantly rougher variations

surface finishes than ignition capsules

Standards used for NIF targets

Results for plastic ablator capsule

Ref: Mark Hermann, Indirect Drive Target Workshop, GA (1 May 2001).

The required degree of temperature symmetry is derived variations

from the surface “roughness” requirement

In the limit L /a<<1,

L ~ sqrt(2k DT/q’’’)

For small perturbations,

d ~ (k/Lq’’’)x

x=temperature perturbation

d=thickness perturbation

DT thickness variation is ~200 mm with hohlraum temperature fixed at 19.2 K

• Too much!

k = 0.33 W/m-k

L = 0.33 mm

q’’’ = 48,700 W/m3

4. The AuGd layer must be altered to allow external control variations

- To affect the variation of temperature at the DT surface, we must eliminate conduction along the “B” layer
- Thermal conductivity of the “B” layer in the y-direction is modeled with helium properties

5. An “inverse problem” is solved to determine the correct temperature profile to apply on the hohlraum surface

- An artificial block of material is added to remove the RHS boundary condition.
- The temperature at the DT surface is fixed at 18 K
- Heat flux applied at the right boundary is calculated based on 48,700 W/m3 volumetric heat generation in DT layer
- Solution gives approximate temperature distribution to apply to the target model

Flibe surface temperatures

Results of applying temperature profile to the hohlraum surface

DT outer surface temperatures

- Variation at DT surface is reduced from 10 mK to ~200 mK
- Subsequent iterations further improve the result (<100 mK achieved)

Applied nodal temperatures

DT thickness corresponding to the modified surface temperature

Variation of DT thickness is ~5 mm

6. Use of a passive thermal control system to temperature

establish boundary temperature profile

- Varying thickness insulator used to map constant temperature cooled surface to desired hohlraum temperature profile
- Estimate of thickness profile made using T(y) and q(y) from original solution

Temperature variation at DT for 0.5-cm thick scallop and 17 K boundary temperature (k=0.0125 W/m-K)

DT outer surface temperatures

Design of a cooling system for the scalloped tube K boundary temperature (k=0.0125 W/m-K)

Concept = Using the heat flux profile, provide a uniform T boundary and a varying radial conductance - to result in desired T profile

Design Data

Cu rods 4.68 m long

234 hohlraums/rod

∆T top/bottom = 0.1K

2 - 1/4” cooling tubes/rod

0.3 g/s He at 200 psi/rod

∆P = ~10 psi

Concept = stack of hohlraums in cooled tubes

Hohlraum delivery system K boundary temperature (k=0.0125 W/m-K)

~1 m

Design Data

3 hr layering + 0.5 h backlog

18 rods per bundle

18 bundles total

75,600 hohlraums

Total He cooling flow = 97 g/s

54 s between movements

3 s between movements

Six per second

7. Sensitivity studies K boundary temperature (k=0.0125 W/m-K)

- Sensitivity of DT temperature profile to 1-10% changes in properties and applied temperature was explored
- Case shown is 1-10% change in k for region D
- 1% changes roughly double the nonuniformity; 10% changes cause an order of magnitude increase

Input temperature profile error K boundary temperature (k=0.0125 W/m-K)

A 10% error in the peak temperature of the inverse problem profile was used as input.

A 900mK temperature difference results at the surface of the DT as opposed to 200mK reported from the original.

Conclusions K boundary temperature (k=0.0125 W/m-K)

- Benchmark using BeBr shell agrees well with earlier work.
- Target using polystyrene in place of BeBr does not provide adequately smooth DT surface temperature distribution.
- Temperature requirements are relaxed with high-yield targets, but not enough to avoid external temperature control.
- AuGd layer must be modified to minimize conduction along the length of the target and allow hohlraum outer surface to “communicate” with the capsule.
- The required applied temperature variation was determined and shown to reduce the temperature variation from 10mK to ~200mK.
- The passive control scheme requires optimization, but appears feasible.
- Variations in properties and applied temperatures must be kept below a few percent.

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