How do numerical solution methods differ from analytical ones? What are the advantages and disadvantages of numerical and analytical methods?
What will be an ideal response?
The analytical solutions are based on (1) driving the governing differential equation by performing an energy balance on a differential volume element, (2) expressing the boundary conditions in the proper mathematical form, and (3) solving the differential equation and applying the boundary conditions to determine the integration constants. The numerical solution methods are based on replacing the differential equations by algebraic equations. In the case of the popular finite difference method, this is done by replacing the derivatives by differences. The analytical methods are simple and they provide solution functions applicable to the entire medium, but they are limited to simple problems in simple geometries. The numerical methods are usually more involved and the solutions are obtained at a number of points, but they are applicable to any geometry subjected to any kind of thermal conditions.
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What kind of personal information would you like to maintain in the database and why is it important? Explain clearly.
Which pipe sizing method allows for the use of smaller diameter fuel gas piping with higher pressure fuel gas distribution?
a. hybrid pressure b. equivalent length c. longest run d. branch length
How were the growing social class divisions in large American cities reflected in the provision of different forms of art, music, and recreation for the elite and the masses?
What will be an ideal response?
As women's status changed, men's lives changed in all of the following ways EXCEPT
A. employers offered paternity leave in addition to maternity leave. B. companies increasingly acknowledged shared obligations of two-worker households. C. more men took on traditional female household chores. D. Congress passed a Family Leave Bill that protected jobs for fathers and mothers who need time off for family reasons. E. men began to look outside of their marriages for the emotional connections they once shared with wives.