# A method for evaluating the mean preheat temperature in X-ray driven ablation

## Abstract

A novel method is proposed for evaluating the mean preheat temperature in X-ray driven ablation, based on the equation of state (EOS) of the ablator and the radiation hydrodynamic simulation. The equation of state of plastic (CH) has been discussed in detail. There are two types of planar CH in simulations, with the thick target being 10 μm thicker than the thin target. The difference between the transmission fluxes of the two types of targets can represent the energy absorbed by the last 10 μm of the thick target (or the preheated layer). This energy approximates the internal energy of the preheated layer. The mean preheat temperature of the preheated layer has also been obtained from simulations. The simulation results show that the relationship between the absorbed energy and the mean preheat temperature is similar to the EOS of CH for different conditions (e.g., different values of M-band fraction and radiation temperature) and can be written as ε=2.530×10{sup 11}T{sup ¯1.444} when the mean preheat temperature is below 12 eV. For these cases, the relationship between the surface preheat temperature T{sub S} and the mean preheat temperature T{sup ¯} was T{sub S}=0.63T{sup ¯}. This relation provides the means for demonstrating the proposedmore »

- Authors:

- Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900 (China)
- (China)

- Publication Date:

- OSTI Identifier:
- 22408217

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 3; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 36 MATERIALS SCIENCE; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ABLATION; EQUATIONS OF STATE; EV RANGE; HEAT TREATMENTS; HYDRODYNAMICS; PLASMA SIMULATION; PLASTICS; TARGETS; TEMPERATURE DEPENDENCE; TEMPERATURE MEASUREMENT; TRANSMISSION; X RADIATION

### Citation Formats

```
Li, Liling, Li, Hang, Zhang, Lu, Dong, Yunsong, Zhang, Chen, Zheng, Jianhua, Zhang, Jiyan, Kuang, Longyu, Jing, Longfei, Lin, Zhiwei, Yang, Jiamin, Jiang, Shaoen, E-mail: jiangshn@vip.sina.com, and Center for Applied Physics and Technology, Peking University, Bejing 100871.
```*A method for evaluating the mean preheat temperature in X-ray driven ablation*. United States: N. p., 2015.
Web. doi:10.1063/1.4916058.

```
Li, Liling, Li, Hang, Zhang, Lu, Dong, Yunsong, Zhang, Chen, Zheng, Jianhua, Zhang, Jiyan, Kuang, Longyu, Jing, Longfei, Lin, Zhiwei, Yang, Jiamin, Jiang, Shaoen, E-mail: jiangshn@vip.sina.com, & Center for Applied Physics and Technology, Peking University, Bejing 100871.
```*A method for evaluating the mean preheat temperature in X-ray driven ablation*. United States. doi:10.1063/1.4916058.

```
Li, Liling, Li, Hang, Zhang, Lu, Dong, Yunsong, Zhang, Chen, Zheng, Jianhua, Zhang, Jiyan, Kuang, Longyu, Jing, Longfei, Lin, Zhiwei, Yang, Jiamin, Jiang, Shaoen, E-mail: jiangshn@vip.sina.com, and Center for Applied Physics and Technology, Peking University, Bejing 100871. Sun .
"A method for evaluating the mean preheat temperature in X-ray driven ablation". United States.
doi:10.1063/1.4916058.
```

```
@article{osti_22408217,
```

title = {A method for evaluating the mean preheat temperature in X-ray driven ablation},

author = {Li, Liling and Li, Hang and Zhang, Lu and Dong, Yunsong and Zhang, Chen and Zheng, Jianhua and Zhang, Jiyan and Kuang, Longyu and Jing, Longfei and Lin, Zhiwei and Yang, Jiamin and Jiang, Shaoen, E-mail: jiangshn@vip.sina.com and Center for Applied Physics and Technology, Peking University, Bejing 100871},

abstractNote = {A novel method is proposed for evaluating the mean preheat temperature in X-ray driven ablation, based on the equation of state (EOS) of the ablator and the radiation hydrodynamic simulation. The equation of state of plastic (CH) has been discussed in detail. There are two types of planar CH in simulations, with the thick target being 10 μm thicker than the thin target. The difference between the transmission fluxes of the two types of targets can represent the energy absorbed by the last 10 μm of the thick target (or the preheated layer). This energy approximates the internal energy of the preheated layer. The mean preheat temperature of the preheated layer has also been obtained from simulations. The simulation results show that the relationship between the absorbed energy and the mean preheat temperature is similar to the EOS of CH for different conditions (e.g., different values of M-band fraction and radiation temperature) and can be written as ε=2.530×10{sup 11}T{sup ¯1.444} when the mean preheat temperature is below 12 eV. For these cases, the relationship between the surface preheat temperature T{sub S} and the mean preheat temperature T{sup ¯} was T{sub S}=0.63T{sup ¯}. This relation provides the means for demonstrating the proposed method, because the transmission fluxes and the surface preheat temperature T{sub S} can be measured experimentally.},

doi = {10.1063/1.4916058},

journal = {Physics of Plasmas},

number = 3,

volume = 22,

place = {United States},

year = {Sun Mar 15 00:00:00 EDT 2015},

month = {Sun Mar 15 00:00:00 EDT 2015}

}