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Assignment example - Energy Conversion System
Engineering and Construction
Pages 4 (1004 words)
NORTHUMBRIA UNIVERSITY School of Computing, Engineering & Information Sciences EN0201: Energy Conversion Systems Assignment 1of 1 Assignment weighting: 15% of total unit (Total marks = 50) Learning outcome You are expected to show the understanding of 1. the mathematical principles of model and prototype testing for the solution and analysis of engineering problems…
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(a) Determine the non-dimensional expressions and . [8 marks] Solution: There are 6 variables involved in the problem: velocity , density , viscosity , surface tension , diameter is and acceleration . Choose the three recurring variables: velocity , density and diameter . From Buckingham pi theorem we have non-dimensional groups. The choice of velocity , density and diameter as the repeating variables satisfies: They are measurable, good design parameters and in combination, contain all the dimension and . We form the three groups according to the 2nd theorem. As the groups are all dimensionless, there must have dimensions such as: , we can use the principle of dimensional homogeneity to equate the dimensions for each group. For the first group, In terms of dimensions, we have that: Thus, we have the following linear system: For For For The solutions for is given as: Giving as And a similar procedure is followed for the other groups. ...
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