mxphi {viadam}R Documentation

The maximum deflecting angle of an oblique shock

Description

Computes the deflecting and shock angles corresponding to the maximum deflecting angle that separates the weak and strong oblique shocks for a particular value of the Froude number.

Usage

 
mxphi(Fr,method=c("exact","approximate"))

Arguments

Fr Froude number.
method method for the computation. For method = "exact", a numerical solution of the exact oblique shock relations is found. For method = "approximate", an approximate explicit solution valid for large Froude numbers is used.

Value

mxphi returns returns dataframe with two column: the shock angle teta) and the deflecting angle phi. They have the same number of elements as Fr.

Note

The returned angles teta and phi are given/returned in radians.

The approximate expression for the maximum deflecting angle, used when method = "approximate", is accurate to O(Fr^(-5/2))).

Author(s)

Tomas Johannesson

See Also

obliqueshock and obliquenshock.

Examples

## Not run: 
mxphi(7,method="exact")
## End(Not run)

[Package viadam version 1.0 Index]