wolfhece.bernoulli.losses_jax
Author: HECE - University of Liege, Pierre Archambeau Date: 2024
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Module Contents
- wolfhece.bernoulli.losses_jax.dichotomy(f, abi: jax.numpy.array, args: jax.numpy.array, tol: jax.numpy.array = jnp.array([1e-08]), max_iter: jax.numpy.array = jnp.array([1000]))[source]
Dichotomy algorithm to find the root of a function
- wolfhece.bernoulli.losses_jax._colebrook_white(f: jax.numpy.array, args: jax.numpy.array) jax.numpy.array[source]
Colebrook-White equation for friction factor
@param args: array containing, k = roughness of the pipe [m], diameter of the pipe [m], Reynolds number [-]
- wolfhece.bernoulli.losses_jax._square_colebrook_white(f: jax.numpy.array, args: jax.numpy.array) jax.numpy.array[source]
Square of Colebrook-White equation for friction factor to be minimized
@param f: float, friction factor [-] @param args: array containing, k = roughness of the pipe [m], diameter of the pipe [m], Reynolds number [-]
- wolfhece.bernoulli.losses_jax._scalar_exp_square_colebrook_white(g: jax.numpy.array, args: jax.numpy.array) jax.numpy.array[source]
Square of Colebrook-White equation for friction factor to be minimized.
Apply a transformation to the friction factor to avoid negative values. Exponential transformation is used.
@param g: float, friction factor [-] @param args: array containing, k = roughness of the pipe [m], diameter of the pipe [m], Reynolds number [-]
- wolfhece.bernoulli.losses_jax.grad_colebrook_white(f: jax.numpy.array, args: jax.numpy.array) jax.numpy.array[source]
Gradient of the Colebrook-White equation for friction factor
@param f: float, friction factor [-] @param args: array containing, k = roughness of the pipe [m], diameter of the pipe [m], Reynolds number [-]
- wolfhece.bernoulli.losses_jax._min_colebrook_white(f: jax.numpy.array, args: jax.numpy.array) jax.numpy.array[source]
Minimize the Colebrook-White equation using BFGS
@param f: float, initial guess for the friction factor [-] @param args: array containing, k = roughness of the pipe [m], diameter of the pipe [m], Reynolds number [-]