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discretize the 1 order and 2 order wave equation using lax-wendroff scheme.Explain the dispersion and dissipation errors encountered while solving the above equations

A 100-mm radius cylinder filled with water is fitted with a piston of negligible weight. A force F is applied to the piston. The manometer attached is filled with mercury (SG = 13.57) and is displaced as shown. Determine the force F.


A steam radiator with enveloping radiating surface 60-in long by 26-in high by 12-in deep is supported above the floor of a large room. If the radiator surface, painted with lacquer containing 10 percent aluminum, is at a temperature of 200 °F and the room surfaces are at 70 °F, what is the rate of radiant-heat exchange between the radiator and the surfaces of the room
A commercially pure copper rod is extruded from an initial diameter of 25 mm to a final diameter of 12.5 mm through a die of apex angle 60 degrees. When Vickers hardness measurements are made on the extruded rod, it is found that the outermost 50 micrometer surface layer has a hardness of 300 kg/mm2 , while the remainder of the rod (bulk) has a hardness of 270 kg/mm2 . Hardness measurements made on similar commercially pure copper samples compressed to different strains showed the hardness H (kg/mm2 ) to be equal to 60 + 120
20 samples, each the size of 7. The center line of a three sigma pair of X bar and R chart, used for monitoring the process, is 55.9 & 12.6, respectively. Assume the process is IN statistical CONTROL. What is the Average Run Length to detect a shift of the process mean to 60. std remains the SAME

An Educational Institute requires a library management system and has contacted your firm. You have 25 programmers, out of which 18 are busy with other projects for the time being. The Institute intends to acquire library books and other equipment, which they want to interface with the computer system. The annual evaluation of the Institute is due soon, in which computerization initiatives are appreciated. (i) Create the process model that you think will be most appropriate for the following situation. Also, list your reasons for choosing the process model and any assumptions that you make. (ii) Assess three reasons not to choose Spiral Model (iii) Outline three reasons not to choose RAD Model


The radiation shape factor of the circular surface of a thin hollow cylinder of 10 cm diameter and 10 cm length is 0.1716. What is the shape factor of the curved surface of the cylinder with respect to itself?

A 39 kW delta-connected motor with a lagging power factor of 0,85 is supplied by a three­phase star-connected alternator having a line output of 380 V at 50 Hz. The motor has an efficiency of 78 %. Calculate the phase currents for the load and the alternator. Determine the new line current of the motor, if the supply frequency is changed to 60 Hz


Two parallel rectangular surfaces 1m x 2m are opposite to each other at a distance of 4 m. The surfaces are black and at 100 °C and 200 °C, respectively. Calculate the heat exchange by radiation between the two surfaces.
A 12-by-12 in. open pan containing water at 140 °F is placed in the exact center of a 16-by-20 ft room having a ceiling temperature of 75°F. If the distance from the water surface to the ceiling is 10 ft and the ceiling is painted with an oil paint, what is the net radiant-heat exchange between the water surface and the ceiling?
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