IF97

IF97 is the high-speed package of IAPWS-IF97 in Rust. It is suitable for computation-intensive calculations，such as heat cycle calculations, simulations of non-stationary processes, real-time process monitoring and optimizations.

Through the high-speed package, the results of the IAPWS-IF97 are accurately produced at about 5-20x speed-up compared to using the powi() of the Rust standard library in the forloop directly when computing the basic equations of Region 1,2,3.

The Fast Methods

1. The multi-step method unleashes the full power of the compiler optimizations while using powi() with the for loop
2. The recursive method computes the polynomial values of the base variable and its derivatives

In IF97, 36 thermodynamic, transport and further properties can be calculated.

The following input pairs are implemented:

```txt (p,t) (p,h) (p,s) (p,v)

(t,h) (t,s) (t,v)

(p,x) (t,x) (h,x) (s,x)

(h,s)
```

Release Notes

• 1.2.1 - The multi-step method unleashes the full power of the compiler optimizations while using powi() with the for loop

  • Add the optional parameter of region to computer the properties of the specified region quickly

• 1.0.9 - The shortest addition chain computes integer powers of a number to provide the stable speed performance under the various hardware and software platforms

Usage

Install the crate

bash cargo add if97

The type of functions are provided in the if97 package:

```txt struct oidregionargs { oid: i32, region: i32, }

fn(f64,f64,R) -> f64 where R: Into, ``````

• the first,second input parameters(f64) : the input propertry pairs
• the third and fourth input parametes:
  • the third : the property ID of the calculated property - o_id
  • the fourth option parameter: the region of IAPWS-IF97
• the return(f64): the calculated property value of o_id

```txt pt(p:f64,t:f64,oidregion:R)->f64 ph(p:f64,h:f64,oidregion:R)->f64 ps(p:f64,s:f64,oidregion:R)->f64 pv(p:f64,v:f64,oidregion:R)->f64

th(t:f64,h:f64,oidregion:R)->f64 ts(t:f64,s:f64,oidregion:R)->f64 tv(t:f64,v:f64,oidregion:R)->f64

hs(h:f64,s:f64,oidregion:R)->f64

px(p:f64,x:f64,oid:i32)->f64 tx(p:f64,x:f64,oid:i32)->f64 hx(h:f64,x:f64,oid:i32)->f64 sx(s:f64,x:f64,oid:i32)->f64

``` Example

```rust use if97::*; fn main() {

let p:f64 = 3.0;
let t:f64= 300.0-273.15;

let h=pt(p,t,OH);
let s=pt(p,t,OS);
// set the region
let v=pt(p,t,(OV,1));
println!("p={p:.6} t={t:.6} h={t:.6} s={s:.6} v={v:.6}");

} ```

Properties

| Propertry | Unit | Symbol | oid | oid(i32)| | ------------------------------------- | :---------: |:------:|------:|:--------:| | Pressure | MPa | p | OP | 0 | | Temperature | °C | t | OT | 1 | | Density | kg/m³ | ρ | OD | 2 | | Specific Volume | m³/kg | v | OV | 3 | | Specific enthalpy | kJ/kg | h | OH | 4 | | Specific entropy | kJ/(kg·K) | s | OS | 5 | | Specific exergy | kJ/kg | e | OE | 6 | | Specific internal energy | kJ/kg | u | OU | 7 | | Specific isobaric heat capacity | kJ/(kg·K) | cp | OCP | 8 | | Specific isochoric heat capacity | kJ/(kg·K) | cv | OCV | 9 | | Speed of sound | m/s | w | OW | 10 | | Isentropic exponent | | k | OKS | 11 | | Specific Helmholtz free energy | kJ/kg | f | OF | 12 | | Specific Gibbs free energy | kJ/kg | g | OG | 13 | | Compressibility factor | | z | OZ | 14 | | Steam quality | | x | OX | 15 | | Region | | r | OR | 16 | | Isobari cubic expansion coefficient | 1/K | ɑv | OEC | 17 | | Isothermal compressibility | 1/MPa | kT | OKT | 18 | | Partial derivative (∂V/∂T)p | m³/(kg·K) |(∂V/∂T)p| ODVDT | 19 | | Partial derivative (∂V/∂p)T | m³/(kg·MPa) |(∂v/∂p)t| ODVDP | 20 | | Partial derivative (∂P/∂T)v | MPa/K |(∂p/∂t)v| ODPDT | 21 | | Isothermal throttling coefficient | kJ/(kg·MPa) | δt | OIJTC | 22 | | Joule-Thomson coefficient | K/MPa | μ | OJTC | 23 | | Dynamic viscosity | Pa·s | η | ODV | 24 | | Kinematic viscosity | m²/s | ν | OKV | 25 | | Thermal conductivity | W/(m.K) | λ | OTC | 26 | | Thermal diffusivity | m²/s | a | OTD | 27 | | Prandtl number | | Pr | OPR | 28 | | Surface tension | N/m | σ | OST | 29 | | Static Dielectric Constant | | ε | OSDC | 30 | | Isochoric pressure coefficient | 1/K | β | OPC | 31 | | Isothermal stress coefficient | kg/m³ | βp | OBETAP| 32 | | Fugacity coefficient | | fi | OFI | 33 | | Fugacity | MPa | f* | OFU | 34 | | Relative pressure coefficient | 1/K | αp | OAFLAP| 35|