transientflow-1d

transientflow-1d is a C++-based simulation tool developed to model 1D unsteady fluid flow through a channel using fundamental conservation laws. It applies the Finite Volume Method (FVM) with time-only discretization, solving governing equations for both compressible and incompressible flows under the influence of heat transfer and frictional forces.

Key Features

• Solves 1D transient fluid dynamics problems
• Handles both compressible and incompressible regimes
• Incorporates frictional and thermal source terms
• Based on conservation of mass, momentum, and energy
• Efficient single control-volume time-stepping approach
• Suitable for research, engineering applications, and learning

Governing Equations

The simulation is governed by the following:

• Continuity Equation:
  ∂ρ/∂t + ∂(ρu)/∂x = 0

• Momentum Equation:
  ∂(ρu)/∂t + ∂(ρu²)/∂x = -∂p/∂x + Ḟ_fr

• Energy Equation (Ideal Gas):
  ∂(ρCvT)/∂t + ∂(ρCvTu)/∂x = -p ∂u/∂x + ∂/∂x(k ∂T/∂x) + Ḟ_fr u

Input Parameters

Defined at the west face (inlet):

• p1 – Static pressure
• u1 – Velocity
• h01 or T1 – Total enthalpy or temperature
• Ffr – Frictional force
• Q – Heat input

Computed at the east face (outlet):

• p2, u2, h02

Simulation Workflow

1. Initialize physical properties and boundary conditions
2. Loop through time steps (Δt)
3. Sequentially solve:
   • Continuity equation
   • Momentum equation
   • Energy equation
4. Update variables and store results

Technologies

• Language: C++
• Methodology: Finite Volume Method (FVM)
• Model: 1 control volume, transient-only discretization

Author

Created by Duc Phi Ngo, a CFD/FEA engineer with a strong background in simulation and software engineering. This project demonstrates the integration of theoretical modeling and computational implementation for real-world fluid systems.

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For detailed derivations and case studies, please refer to the full project documentation or contact the author at phiducngo@gmail.com.