Energy Conversion System Assignment Example | Topics and Well Written Essays - 1000 words

Energy Conversion System - Assignment Example(a) encounter the non-dimensional expressions and . 8 marks Solution There atomic estimate 18 6 variables involved in the puzzle velocity , density , honeyedness , surface tension , diameter is and acceleration . Choose the three recurring variables velocity , density and diameter . From Buckingham pi theorem we have non-dimensional conferences. The choice of velocity , density and diameter as the repeating variables satisfies They are measurable, comfortably 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 normal 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 sideline linear system For For For The solutions for is given as Giving as And a similar procedure is followed for the diametric groups. Thus, we have the following linear system For For For The solutions for is given as Giving as Finally the group Thus, we have the following linear system For For For The solutions for is given as Giving as Thus the problem may be described by the following function of three non-dimensional groups, We take into account that any(prenominal) dimensionless group may be raised to any power and it is still a valid group. Furthermore, the interactive of any dimensionless group is valid, too. We concluded that Finally the non-dimensional expressions and are Pay attention that the group obeys manipulation rules of equivalence. look on that Velocity Density Viscosity Surface tension Distance Acceleration (b) Comment on the material significance of the non-dimensional procedures formed. 6 marks Solution The non-dimensional expressions found for and were The non-dimensional arrive given by is the so-called Reynolds number The Reynolds number is a non-dimens ional number that gives a measure of the ratio of inertia force to viscous force. This parameter correlates the viscous behavior of all Newtonian peregrines. In fluid dynamic engineer should do estimate of the Reynolds number range of the flow under study. Very low indicates viscous creeping motion, where inertia effects are negligible. Moderate implies a smoothly alter laminar flow. High probably spells turbulent flow, which is slowly varying in the time-mean but has superimposed strong random high-frequency fluctuations. The non-dimensional number given by is the so-called weber number It is a non-dimensional number useful for analyzing fluid flows where there is an interface between two different fluids. The Weber number is the ratio between the inertial force and the surface tension force. Since the Weber number represents an index of the inertial force to the surface tension force acting on a fluid element, it can be useful analyzing thin films flows and the formation of drop lets and bubbles. Question 2 (a) Two vessels are connected by a pipe in which there is a valve. One vessel of contains nitrogen at and , and the other of contains helium at and . The valve is opened and the two floates are allowed to mix. Assuming the system is well insulated, purpose (i) the final temperature of the mixture 8 marks Solution The amount of energy given off by the warmer gas equals the amount