2.3 Computational fluid dynamics Computational fluid dynamics or commonly abbreviated as CFD is the branch of fluid dynamics which is applied to simulate fluid flow, heat transfer, and associated phenomena such as chemical reactions by the numerical solution of the governing equations to analyze complex flows system such as complex turbulent flow (Versteeg and Malalasekera, 1995). Therefore, CFD has often been provided as the tool for testing of conditions which are not possible or difficult to measure experimentally in addition to a regular part of the process design. Moreover, virtual testing with CFD can be reduced development costs, saved development time, and eliminated rework and delays (Sayma, 2009). Due to these advantages, CFD rapidly…
5. SUMMARY We have derived Laplace's equation for steady-state water flow in two dimensions and have explained how the equation is solved by three Relaxation Methods: Jacobi, Gauss Siedel and Successive Over-Relaxation on a discrete 20 10 grids. The numerical method was illustrated by a Matlab programming code. 6. References [1] John D. Anderson, JR (1995). Computational Fluid Dynamics: The Basics with Applications .McGraw Hill, Inc. [2] Anderson, J.D. (1995). Computational Fluid Dynamics.…
This project consist of Numerical and Computational Fluid dynamics analysis of heat transfer enhancement and the corresponding pressure drop over a flat surface equipped with cylindrical cross-sectional perforated and solid pin fins in a rectangular channel. The channel had a cross-sectional area of 250-100 mm2. The experiments covered the following range: Reynolds number 13,500–43,500, the constant clearance ratio (C/H) = 0, the inter-fin spacing ratio (Sy/D) 1.944 and 3.417 for Staggered…
Computational Fluid Dynamics Computational fluid dynamics (CFD) is the simulation of fluids in engineering systems using modeling such as mathematical physical problem formulation and numerical methods like discretization methods, solver, numerical parameters and grid generation. Computational fluid dynamics is based on the concept of Reynolds averaging of the unsteady Navier-Stokes equation commonly known as (RANS) which are considered by Leishman to be the most adaptable method for…
What is computational fluid dynamics (CFD) ? Computational Fluid Dynamics (CFD) is the simulation of fluids engineering systems using modeling (mathematical physical problem formulation) and numerical methods (discretization methods, solvers, numerical parameters, and grid generations, etc.). The process of the computation is shown as figure below: Firstly, we have a fluid problem. To solve this problem, we should know the physical properties of fluid by using Fluid Mechanics. Then we can…
undergraduate studies, my father died. After the death of my father our family was undergoing through a gargantuan economic crisis and other problems and I felt that the shadow of an enormous tree just faded away from above my head and I was banished into the middle of a barren desert. Despite all the acute hardships I did not let any weakness enter into my mind; rather I felt strength to work vigorously to achieve a pleasant result and helped my friends in group studies to do better. My family…
My first interaction with fluid mechanics came when I was in 1st year. My curiosity about fluid mechanics rose up while performing experiments in the lab with my own hands. In addition, course on hydrodynamics and hydrodynamics lab allowed me to visualize different flow patterns and flow properties and showed me how the flow pattern can be expressed in mathematical equations. I found the opportunity to take the course of Computational Fluid Mechanics & Theory of Hydrofoils because of my good…
Energy Equation, (3) Where u and v are velocity component along the x and y directions of a Cartesian coordinate system respectively, t is the time, p is the pressure, Re (= ρU∞d/μ) is the Reynolds number, Pr (= μCp/k) is the Prandtl number, T is the temperature, d is the diameter of cylinder, k is the thermal conductivity of fluid, Cp is the heat capacity of fluid, ρ is the density of fluid, μ is the dynamic viscosity of fluid and U∞ is the free stream velocity of fluid. Lift and Drag…
Introduction It has been a puzzling question in fluid mechanics for quite some time as to why golf balls are designed with dimples. In the 1800’s it was discovered that a ball with scuffs in it flew through the air more consistently than a smooth golf ball.6 Manufacturers started incorporating patterns to golf balls to try and find which gave a more stable and reliable flight pattern. In the 1900’s it was determined that the strategic placement of indentations maximizes lift while minimizing…
A fluid is a substance that deforms continuously when subjected to a shear stress. A simplified definition is that it is a substance that is able to flow smoothly and changes it’s shaped when a force is acted upon it. There are different types of fluids. Ideal Fluids and Newtonian as examples. An ideal fluid is a substance that has zero viscosity and is considered to be incompressible (density is constant). [2] In reality, there is no such thing as ideal fluids as there are always viscous…