The following projects are based on fdm. This list shows the latest innovative projects which can be built by students to develop hands-on experience in areas related to/ using fdm.
All the engineering devices we use involves the conversion of energy. In this process, a lot of heat released to the surroundings as a part of energy loss. The efficiency of any device can be increased by minimizing loss due to heat transfer. That’s why a lot of research going on around the world in the field of heat transfer. To solve real-life heat transfer problems Numerical methods are preferred, because of less time consumption, ease, and convenience. To get hands-on experience on numerical methods, here you are going to solve the Two-Dimensional flat plate problem with Constant conductivity heat transfer by using Numerical methods.
Numerical analysis is one of the most researched fields today. Getting an exact solution for physical problems is too difficult and again for most of the physical problems exact solution does not exist at all, so numerical techniques are preferred to obtain a fairly exact solution with ease. In this project, you will write your own codes to simulate temperature distribution over a 1D flat plate and compare its result with the exact solution to check the accuracy of your Numerical solution.
Solving differential equations are always been challenging for engineers. This is because there is a lot of variants to differential equations and also the complexity of these equations varies with respect to a number of variables involved and order of the equation. A differential equation which describes a physical problem is very complex and cannot be solved by an analytical approach. So, studying numerical methods is important for an engineer. In this project, you will learn the Finite Difference Method (Numerical Method) by solving a Linear Convection equation.
Turbulent flows have an infinite variety ranging from the flow of blood in our body to the atmospheric flows. Everyday life gives us an intuitive knowledge of turbulence in fluids; during air travel, one often hears the word turbulence generally associated with the fastening of seat-belts. The flow passing an obstacle or an airfoil creates turbulence in the boundary layer and develops a turbulent wake which will generally increase the drag exerted by the flow on the obstacle. The majority of atmospheric or oceanic currents cannot be predicted accurately and fall into the category of turbulent flows, even in the large planetary scales. Galaxies look strikingly like the eddies which are observed in turbulent flows such as the mixing layer, and are, in a way of speaking, the eddies of a turbulent universe. Numerous other examples of turbulent flows arise in aeronautics, hydraulics, nuclear and chemical engineering, oceanography, meteorology, astrophysics, and internal geophysics. A clear understanding of this physical phenomena is one of the most essential and important problems of applied science.
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