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In each of these problems, begin by deriving the governing equation using energy balances (even if we already derived the governing equation in class). This is important to practice.
1) Consider one-dimensional, steady state conduction through the wall of a pipe. The pipe has inner diameter Di and outer diameter Do. If the outside of the pipe is fixed at temperature To, and inside the pipe there is a convective boundary condition with T = T∞ and convective heat transfer coefficient h, find the temperature profile in the pipe.
2) Solve for the temperature profile in an extended fin of length L, with the prescribed temperature boundary condition, that is, T(L) = TL. What is the fin efficiency for this fin?
3) Consider one-dimensional transient conduction in a slab of thickness L. Initially, the entire slab is at temperature Ti and both surfaces are at temperature Ti. At time t = 0, the left surface (x = 0) temperature is increased to Ts. Find the temperature profile in the slab as a function of time. (Note the solution to this problem involves eigenfunctions).
determine the deflection of a simple uniformly loaded beam by the ritz methodusing first one term then two terms adn
A rectangular channel carries a discharge of 2.00 m3/sec per meter of channel width over a weir crest that is 1.4 m in height. The energy grade line upstream of the weir measure 2.7 m above the channel bottom.
The filters in the plant are 8.0x8.0m surface area and operate on the following schedule. A filter is cleaned once in each 24-hr period, and a backwash rate is 10.0 L*m^-2*s^-1 fora period of 8 min.
Property taxes,insurance and storage will run 5%.What is the owning cost for the dozer?Use the time value method to calculate the depreciated portion of the ownership cost.
A company deposits 10,000 every year for ten years in a bank. The company makes no deposits during the subsequent 10 years. If the bank pays 10% interest, what is the amount in the account at the end of 20 years?
Determine the mean effective pressure of an ideal Otto cycle that uses air as the working fluid. At the beginning of compression the pressure is 14 psi and the temperature if 60°F.
the block has a mass of 150 kg and rests on a surface for which the coefficients of static and kinetic friction are 0.5
When a channel of triangular cross section was new, a flowrate of Q caused the water to reach L = 2 m up the side of the channel. After considerable use, the walls of the channel became rougher and the Manning coefficient, n, doubled.
A small city is evaluating disinfection requirements for their drinking water plant. With an average flow of 5 MGD and a peak flow of 9 MGD, determine the controlling CT factor (virus or giardia) when the water temperature is 23 degrees C.
A person on the moon wishes to determine the mass of a rock. He has a spring scale calibrated to read pounds mass at a location where the acceleration of gravity is 32.186 ft/s 2 . The rock gives a reading of 18.76 on this scale.
One mole of an ideal monoatomic gas initially at 300 K is expanded from an initial pressure of 10 atm to a final pressure of 1 atm. The molar heat capacity for constant volume for the gas is Cv = 3/2 R .
As a design engineer you are responsible for all the drawing documentation from your organisation. What are the key aspects of the drawing you need to check before sending it to the construction division?
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