Explain the development, design and implementation aspects of algorithms in the development of software.
auffman Enterprises has hired a group of University of Iowa engineers who are knowledgeable in materials science to work on a chemical reactor being designed by the company. The reactor vessel that will be operated at 525C and will contain highly corrosive hydrochloric acid. The reactor will be created with stainless steel, but a significant amount of piping attached to the reactor will be needed. The job for the engineers is to determine the best material for the piping given four options of: Brass, Copper, Aluminum and Steel. The recommendation will take into account the expansion of the pipes, corrosion resistance and cost.
Since the process will be operated at 525C, there will be some type of expansion with the piping material. Each material that will be tested has a unique coefficient of linear expansion, and this is a property that indicates how much that material will expand when heated or retract when cooled. This coefficient is used in many engineering projects to determine how much stress a material can handle when heated or cooled. These types of stresses can lead to cracking or even deformation of the material depending on the temperature. To calculate this coefficient, you will need to apply the equation:
Figure [1]. Coefficient of Linear Expansion Formula (Kauffman)
The coefficient is represented by the symbol alpha (), L signifies the change in length, L_0 denotes the original length, and D_t is the change in temperature. It is ideal to have two metals having like coefficients of linear expansion, because it will allow for the expansion and retraction of both to be similar. For example, if a metal with a high coefficient has another metal wrapped around it with a low coefficient, the metal inside expands faster and could cause a fracture to the metal surrounding it. However, there are situations in which you may need to join two metals having unlike coefficients of linear expansion. For example, preparing an alloy requires combining metals with two different coefficients. The four metals being tested have theoretical coefficients of:
