Solving ODEs with MATLAB: Bibliography

We explore the problem of the Falkner-Skan boundary layer flow past a wedge considering the velocity slip condition and nanofluid. The governing partial differential equation is transformed into an ordinary differential equation. The numerical results of the resulting ordinary system are obtained using Matlab software. The effect of the slip parameter on the flow and the presence of the nanofluids are discussed.

Numerical Solution for the Falkner-Skan Boundary Layer Viscous Flow over a Wedge

Implicit-explicit and explicit projection schemes for the unsteady incompressible Navier-Stokes equations using a high-order dG method

Two-dimensional stagnation-point flow in three different aspect ratios is studied by solving the full Navier-Stokes equations with the computational fluid dynamics (CFD) software of STAR-CD and results are compared with those obtained from the similarity solution. Pressure variation in the directions normal and parallel to the wall, as well as wall shear stress along the wall are investigated. Results show that pressure profiles are in good agreement for both numerical simulation and similarity solution at high aspect ratio in the stagnation-point region. Discrepancy of results in pressure profiles increases as aspect ratio decreases and in region which is away from the stagnation-point flow. It is found that wall shear stress is proportional to the distance from the stagnation-point along the wall as expected by similarity solution.

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Stagnation-Point Pressure Distribution and Wall Shear Stress: Numerical Simulation and Similarity Solution

Multi-physics modeling of the ignition of polymer matrix composites exposed to fire

Numerical simulation of two‐dimensional stagnation‐point flow is investigated with the computational fluid dynamics (CFD) software of STAR‐CD and results are compared with those obtained from similarity solution. Study shows that velocity profiles obtained from numerical simulation and similarity solution at high aspect ratio and close to the stagnation point are in good agreement. Results from numerical simulation find that boundary layer thickness is not exactly constant as those predicted by similarity solution. Instead, it is decreasing slightly along the wall.

Comparison of Numerical Simulation of 2‐D Stagnation‐Point Flow with Similarity Solution

Numerical simulation of two-dimensional stagnation-point flow is investigated with the computational fluid dynamics (CFD) software of STAR-CD and results are compared with those obtained from the similarity solution. Study shows that velocity profiles are in good agreement between numerical simulation and similarity solution for high aspect ratio in the stagnation-point region. Numerical simulation results of nonzero vorticity region find that boundary-layer thickness is constant in the stagnation-point region where vorticity generated at a wall is prevented from diffusing far away from it by convection of the vorticity toward the wall. In the region far away from the stagnation point the boundary-layer thickness is decreasing along the wall in which balance between diffusion and convection of vorticity is no longer valid.

Simulation of stagnation-point flow and analysis of nonzero vorticity region

Numerical simulation of non‐isothermal stagnation‐point flow is investigated by solving a set of governing partial differential equations with computational fluid dynamics (CFD) software, and results are compared with those obtained from similarity solution for different aspect ratios and Prandtl numbers. Study shows that temperature profiles obtained from numerical simulation and similarity solution are in good agreement. Results from numerical simulation find that it is always overestimated than those predicted by similarity solution.

Tai Yin Tong

Papers

Comparison of Numerical Simulation of 2‐D Stagnation‐Point Flow with Similarity Solution

Stagnation-Point Pressure Distribution and Wall Shear Stress: Numerical Simulation and Similarity Solution

Simulation of stagnation-point flow and analysis of nonzero vorticity region

The Aspect Ratio Effect on Temperature of 2‐D Non‐Isothermal Stagnation‐Point Flow