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A plane wall (k = 10 W/m °C) of thickness 50 cm has its exterior surface subjected to a convection environment of 30 °C with a surface heat transfer coefficient of 600 W/m2 °C. Determine the temperature distribution in the plane wall using
(a) four linear elements
(b) one quadratic element and
(c) one modified quadratic element with only two nodes. Compare the results with the analytical solution. If the heat transfer coefficient increases to 10,000 W/m2 °C, what happens to the temperature of the exterior surface?
Derive the differential equation and boundary conditions for the torsional oscillation of a bar in the absence of warping in terms of the rotation angle θ(z,t) and using the polar moment of inertia of the cross-vectors .
refrigerant-134a at 800 kpa and 25 degree c is throttled to a temperature of -20 degree c. determine the pressure and
a late-model hummer has a frontal profile area of 3.1 m2 and a cd of 0.47. it is moving at a steady speed of 75 mph. a
Suppose round conductors are arranged in a grid such that center points are aligned with the vertices of the grid. What is the highest packing factor that can be obtained?
Using the data shown in Callister Figure 7.19, draw an approximate stress-strain curve for the 1040 steel at 0% cold work and at 30% cold work, clearly indicating the yield strength, ductility, and tensile strength of the steel before and after cold-..
Helium gas enters a nozzle whose isentropic efficiency is 88 percent with a low velocity, and it exits at 15.3 psia, 160F, and 840 ft/s. Determine the temperature and pressure at the nozzle inlet.
Determine the largest allowable square cross section of a steel shaft of length 6 m if the maximum shearing stress is not to exceed 135 MPa
A 6-lb collar can slide without friction on a vertical rod and is held so it just touches an undeformed spring.
The combined action of the three forces on the base at O may be obtained by establishing their resultant through O. Determine the magnitudes of R and the accompanying couple M.
Prepare shadow maps for point P on the sun-path diagrams for 35°N and 40°N for the following three geometries shown in a, b, and c. Determine the hours of shading that occur each month.
Design the number of teeth and depth of teeth need be chosen. Considerations include the turn angle for each stroke, the bearing stress on the teeth and pins and shear stress on the teeth.
1. A reversible refrigeration cycle operates between cold and hot reservoirs at temperatures TC and TH, respectively. (a) If the coefficient of performance is 3.5 and TH 5 808F, determine TC, in 8F.
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