# An analytical calculation of the axial density profile for 1-d slab expansion

## Abstract

Obtaining an analytical expression for the axial density profile can provide us with a quick and convenient way to evaluate the density evolution for targets with different densities and dimensions. In this note, we show that such an analytical expression can be obtained based on the self-similar solutions and the method of characteristics for 1-D slab expansion.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Livermore National Lab., CA (US)

- Sponsoring Org.:
- USDOE Office of Defense Programs (DP) (US)

- OSTI Identifier:
- 14561

- Report Number(s):
- UCRL-ID-135524; 39DP01000

39DP01000; TRN: US0106165

- DOE Contract Number:
- W-7405-ENG-48

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 10 Aug 1999

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; CALCULATION METHODS; DIMENSIONS; TARGETS; DENSITY

### Citation Formats

```
Ho, D.
```*An analytical calculation of the axial density profile for 1-d slab expansion*. United States: N. p., 1999.
Web. doi:10.2172/14561.

```
Ho, D.
```*An analytical calculation of the axial density profile for 1-d slab expansion*. United States. doi:10.2172/14561.

```
Ho, D. Tue .
"An analytical calculation of the axial density profile for 1-d slab expansion". United States. doi:10.2172/14561. https://www.osti.gov/servlets/purl/14561.
```

```
@article{osti_14561,
```

title = {An analytical calculation of the axial density profile for 1-d slab expansion},

author = {Ho, D},

abstractNote = {Obtaining an analytical expression for the axial density profile can provide us with a quick and convenient way to evaluate the density evolution for targets with different densities and dimensions. In this note, we show that such an analytical expression can be obtained based on the self-similar solutions and the method of characteristics for 1-D slab expansion.},

doi = {10.2172/14561},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1999},

month = {8}

}

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